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Instructor:
Dr. Sabar D. Hutagalung
Physics Department, Faculty of Science, Jazan University, Jazan, Saudi Arabia
Email: sdhutagalung@gmail.com
 Raymond A. Serway & John W. Jewett, Jr., Physics
for Scientists and Engineers with Modern Physics,
9th Edition, Brooks/Cole, 2014.
 Zeroth (0th) law of thermodynamics
 Thermometers and Celcius temperature
scale
 Work and heat in thermodynamic processes
 The first law of thermodynamics
 Energy transfer mechanism in thermal
processes
 Heat engines and the second law of
thermodynamics
 The 0th law:
◦ If two systems are each in thermal equilibrium with a
third, they are also in thermal equilibrium with each
other.
 The 1st law:
◦ The change in internal energy of a system (ΔU) is due to
heat gain or loss (Q) and work done (W).
 The 2nd law:
◦ Heat flows spontaneously from a substance at a higher
temperature to a substance at a lower temperature and
does not flow spontaneously in the other direction.
 The 3rd law:
◦ It is not possible to lower the temperature of any system
to absolute zero in a finite number of steps.
 “If objects A and B are separately in thermal
equilibrium with a third object C, then A and
B are in thermal equilibrium with each other.”
Heat will always flow in a
direction from hot objects to
colder ones, but never the other
way around.
Thermal equilibrium
(same temperature)
 Thermometers are devices
used to measure the
temperature of a system.
 All thermometers are based
on the principle that some
physical property of a
system changes as the
system’s temperature
changes (volume,
dimensions, pressure,
electric resistance, color).
A common thermometer
consists of a mass of liquid –
usually mercury or alcohol -
that expands into a glass
capillary tube when heated.
 Any temperature change in the range of the thermometer can
be defined as being proportional to the change in length of
the liquid column.
 The thermometer calibrated with a natural system that
remains at constant temperature.
 A mixture of water and ice in thermal equilibrium at
atmospheric pressure is defined to have a temperature of
zero degrees Celsius, 0oC; called the ice point of water.
 A mixture of water and steam; is defined as 100oC, which is
the steam point of water.
 The length of the liquid column between the two
points is divided into 100 equal segments to
create the Celsius scale.
 Mercury and alcohol have different thermal
expansion properties: they may indicate a slightly
different value for a temperature.
 Mercury and alcohol have limited range of
temperatures over which it can be used.
 A mercury thermometer cannot be used below -39oC
(the freezing point of mercury).
 An alcohol thermometer is not useful for above 85oC
(the boiling point of alcohol).
 Therefore, need a universal thermometer
whose readings are independent of the
substance used in it (the gas thermometer).
 The height h, the difference between the mercury
levels in B and A, indicates the pressure in the flask
at 0oC by equation:
 The flask is then immersed in water at the steam
point for the gas pressure at 100oC.
 These two pressure and temperature values are
then plotted.
 One version of a gas thermometer is the constant-volume apparatus.
 The physical change exploited is the variation of pressure of gas with
temperature.
 The flask is immersed in an ice-water bath, and mercury reservoir B is
raised or lowered until the top of the mercury in column A is at the zero
point on the scale.
Conversion formulas:
Example 19.1.
On a day when the temperature reaches
50oF, what is the temperature in
degrees Celsius and in Kelvins?
Answer:
 Internal energy is all the energy of a system
that is associated with its microscopic
components—atoms and molecules—when
viewed from a reference frame at rest with
respect to the center of mass of the system.
 Usually the internal energy consists of the sum of
the potential and kinetic energies of the working
gas molecules.
 Heat is defined as a process of
transferring energy across the
boundary of a system because of a
temperature difference between the
system and its surroundings.
 It is also the amount of energy Q
transferred by this process.
 State variables in thermodynamics: pressure
(P), volume (V), temperature (T), and internal
energy (Eint).
 A second category is transfer variables (heat
(Q) and work (W) as the transfer variables).
 The heat is positive or negative, depending
on whether energy is entering or leaving the
system.
 The work is positive if system compressed
and negative if system expands.
 As the piston is pushed downward by an external
force through a displacement of
the work done on the gas is:
 Because Ady is the change in volume of the gas dV,
the work done on the gas:
If gas is compressed, dV is negative and dW work
done on the gas is positive. If gas expands, dV
positive and dW work done on the gas negative.
 The total work done on the gas as its
volume changes from Vi to Vf is
The curve on a PV diagram is
called the path taken between the
initial and final states.
The volume is first
reduced from Vi to Vf at
constant pressure Pi and the
pressure of the gas then
increases from Pi to Pf by
heating at constant volume Vf .
The pressure is increased from
Pi to Pf at constant volume Vi
and then the volume of the gas
is reduced from Vi to Vf at
constant pressure Pf .
Both P and V change
continuously, the work done
on the gas has some value
between the values obtained
in the first two processes.
 The gas in the cylinder is at a pressure equal to
1.01 x 105 Pa and the piston has an area of 0.1
m2. As energy is slowly added to the gas by
heat, the piston is pushed up a distance of 4 cm.
Calculate the work done by the expanding gas
on the surroundings, Wenv, assuming the
pressure remains constant.
 Find the change in volume of the gas, dV,
 The work done:
W = -P (Vf - Vi) = -P dV = P dV
(gas expands: dV is positive)
 The 1st Law of Thermodynamics
(Conservation) states that “energy is always
conserved, it cannot be created or
destroyed.”
 Energy can be changed from one form to
another, but it cannot be created or
destroyed.
 The 1st law:
◦ The change in internal energy of a system (ΔU) is
due to heat gain or loss (Q) and work done (W).
 The sum of the heat transferred into the
system and the work done on the system
equals the change in the internal energy of
the system.
DEint - change internal energy;
Q - energy or heat transfers; and
W - work.
Isolated system:
 No energy transfer by heat and the work done
on the system is zero; hence, the internal
energy remains constant.
Isolated system
Cyclic process:
 A process that starts and ends at the same
state.
 The change in the internal energy is zero
therefore, the energy Q added to the system
must equal the negative of the work W done.
 Adiabatic process is a process which no
energy enters or leaves the system by heat;
that is, Q = 0.
◦ An adiabatic process can be achieved either by
thermally insulating the walls of the system or by
performing the process rapidly so that there is
negligible time for energy to transfer by heat.
 Free expansions. A process in which no heat
transfer occurs between the system and its
environment and no work is done on or by the
system. Thus, Q =W = 0.
 Isobaric process is a process that occurs at
constant pressure.
◦ The values of the heat and the work are both
usually nonzero.
 Isovolumetric process is a process that takes
place at constant volume.
◦ Because the volume does not change in such a process, the
work done is zero (W = 0).
 Isothermal process is a process that occurs at
constant temperature.
◦ Because the temperature does not change in a
process involving an ideal gas, DEint = 0.
Q = -W
The first law of Thermodynamics:
Special cases
The General Law: DEint = Q + W
Process Restriction Consequence
Isolated system Q = W = 0 DEint = 0
Cyclic DEint = 0 Q = -W
Adiabatic Q = 0 DEint = W
Free expansions Q = W = 0 DEint = 0
Isobaric W = -P(Vf - Vi) DEint = Q + W
Isovolumetric W = 0 DEint = Q
Isothermal DEint = 0 Q = -W
0 + +
+ 0 +
0 0 0
 Suppose an ideal gas is allowed to expand quasi-statically at
constant temperature;
PV = nRT = constant
 Work:
 Because T is constant:
Figure 20.9 PV diagram
for an isothermal
expansion of an ideal.
W = - nRT ln (Vf-Vi)
= nRT ln (Vi-Vf)
 Characterize the paths in Figure 20.10 as isobaric,
isovolumetric, isothermal, or adiabatic. For path B,
Q = 0. The blue curves are isotherms.
Figure 20.10
 Characterize the paths in Figure 20.10 as isobaric,
isovolumetric, isothermal, or adiabatic. For path B,
Q = 0. The blue curves are isotherms.
Answer:
A: isovolumetric
B: Adiabatic
C: Isothermal
D: Isobaric
Figure 20.10
 A 1.0-mol sample of an ideal gas is kept at
0.0°C during an expansion from 3.0 L to 10.0
L.
◦ (A) How much work is done on the gas during the
expansion?
◦ (B) How much energy transfer by heat occurs
between the gas and its surroundings in this
process?
◦ (C) If the gas is returned to the original volume by
means of an isobaric process, how much work is
done on the gas?
(A) How much work is done on the gas during the
expansion? This is isothermal process:
T = 0 oC = 273 K (constant)
n = 1; R = 8.31 J/mol
Vi = 3 L = 3x10-3 m3
Vf = 10 L = 10x10-3 m3
Work negative (gas expands).
(B) How much energy transfer by heat occurs between
the gas and its surroundings in this process?
In isothermal process, DEint = 0
(C) If the gas is returned to the original volume by
means of an isobaric process, how much work is
done on the gas?
Returned to original volume by isobaric process:
Vi = 10 L = 10x10-3 m3
Vf = 3 L = 3x10-3 m3
Work positive (gas compressed).
= 1.6 x 103 J
Hotter Colder
 Conduction is the process energy transfer by heat
(Q) through the material of the body.
 Conduction occurs only if there is a
difference in temperature between two
parts of the conducting medium.
 The rate of energy transfer by heat is:
where P is power (watt, W), Q is heat (Joule, J),
k is the thermal conductivity (W/m °C), and
|dT/dx| is the temperature gradient.
Figure 20.11
 Uniform rod of length L is thermally insulated
so that energy cannot escape from its surface
except at the ends.
 The temperature gradient:
The rate of energy transfer by conduction
through the rod is:
 A compound slab containing several materials of
thicknesses L1, L2, . . . and thermal conductivities
k1, k2, . . .
 The rate of energy transfer through
the slab at steady state is
 where Th and Tc are the temperatures
of the outer surfaces.
 You have two rods of the same length and
diameter, but they are formed from different
materials. The rods are used to connect two
regions at different temperatures so that energy
transfers through the rods by heat. They can be
connected in series as in Figure 20.13a or in
parallel as in Figure 20.13b.
 In which case is the rate of energy transfer by heat
larger?
(a) The rate is larger when the rods are in series.
(b) The rate is larger when the rods are in parallel.
(c) The rate is the same in both cases.
Answer: (b)
Because larger contact area, A
when connected in parallel.
 Two slabs of thickness L1 and L2 and thermal conductivities k1 and k2
are in thermal contact with each other as shown in Figure 20.14. The
temperatures of their outer surfaces are Tc and Th, respectively, and
Th > Tc. Determine the temperature at the interface and the rate of
energy transfer by conduction through an area A of the slabs in the
steady-state condition.
Figure 20.14
 Express the rate at which energy is transferred through
an area A of slab 1:
 Express the rate at which energy is transferred through the
same area A of slab 2:
 Set these two rates equal to represent the steady-state situation:
 Solve for T:
 Substitute Equation (3) into either Equation (1) or Equation (2):
Figure 20.14
 Convection is energy transfer by
the movement of molecules
within substances/fluids such as gases and
liquids.
 Natural convection: Convection resulting from
differences in density.
◦ Example: Airflow at a beach.
 Forced convection: The heated substance is
forced to move by a fan or pump.
◦ Example: Hot-water heating systems
 Radiation is energy transfer by
electromagnetic waves.
 The rate of energy transfer by radiation is
proportional to the fourth power of the absolute
temperature of the surface. This known as Stefan’s
law, is expressed as:
where P is the power, s is a constant = 5.6696 x 10-8 W/m2 K4,
A is the surface area, e is the emissivity, and T is the surface
temperature in Kelvins. The value of e can vary between zero
and unity.
 The emissivity, e is equivalent to the absorptivity,
which is the fraction of the incoming radiation that
the surface absorbs.
 A mirror has very low absorptivity & emissivity
because it reflects almost all incident light.
 A black surface has high absorptivity & emissivity.
 An ideal absorber is defined as an object that absorbs
all the energy incident on it, e =1, is often referred as
a black-body.
 So, the emissivity, e is defined as the ratio of the
energy radiated from a material's surface to that
radiated from a black-body at the same temperature
and wavelength.
 Every second, ~1370 J of electromagnetic radiation
from the Sun passes perpendicularly through each 1
m2 at the top of the Earth’s atmosphere.
 If an object is at a temperature T and its
surroundings are at an average temperature
T0, the net rate of energy gained or lost by
the object as a result of radiation is:
 The Dewar flask is a container designed to minimize energy
transfers by conduction, convection, and radiation.
 A Dewar flask is used to store cold or hot liquids for long
periods of time.
 Dewar flash is commonly used to store liquid nitrogen
(boiling point 77 K) and liquid oxygen (bp 90 K).
 An insulated bottle or Thermos, is equivalent of a Dewar
flask.
 For liquid helium (bp 4.2 K), necessary to use
a double Dewar system in which the Dewar
flask containing the liquid is surrounded by
a second Dewar flask.
Energy is transferred by
direct contact.
Energy is transferred by
the mass motion of
molecules.
Energy is transferred by
electromagnetic radiation.
 A poker is a stiff, nonflammable rod used to
push burning logs around in a fireplace. For
safety and comfort of use, should the poker
be made from a material with (a) high thermal
conductivity, (b) low thermal conductivity, (c)
average thermal conductivity?
 A heat engine is a device that takes in energy
by heat and, operating in a cyclic process,
expels a fraction of that energy by means of
work.
 A heat engine carries some working
substance through a cyclic process:
(1) the working substance absorbs energy by heat
from a high-temp energy reservoir,
(2) work is done by the engine, and
(3) energy is expelled by heat to a lower-temp
reservoir.
 Example of heat engine, a steam engine,
which uses water as the working substance.
1. The water in a boiler absorbs energy from
burning fuel,
2. water evaporates to steam,
3. does work by expanding against a piston.
4. After the steam cools and condenses,
the liquid water produced returns
to the boiler and the cycle repeats.
 The engine absorbs a quantity of energy |Qh| from
the hot reservoir. We use absolute values.
 The engine does work Weng (so that W = -Weng) and
then gives up a quantity of energy |Qc| to the cold
reservoir.
 Cyclic process: DEint = Q+W = Q -Weng = 0
Weng = Qnet ; Qnet = |Qh| - |Qc|
 Therefore,
 The thermal efficiency, e of a heat engine:
 Absorbs heat, Qh
 Performs work, Weng
 Rejects heat, Qc
A heat engine is any device
which through a cyclic process.
Cold Res. Tc
Engine
Hot Res. Th
Qh
WengQc
 Kelvin–Planck form of the second law
of thermodynamics states the
following:
“It is impossible to construct a heat
engine that, operating in a cycle,
produces no effect other than the
input of energy by heat from a
reservoir and the performance of an
equal amount of work.”
Cold Res. Tc
Engine
Hot Res. Th
400 J
300 J
100 J
• A possible engine. • An IMPOSSIBLE
engine.
Cold Res. Tc
Engine
Hot Res. Th
400 J
400 J
 The energy input to an engine is 4.00 times greater
than the work it performs.
 (i) What is its thermal efficiency? (a) 4.00, (b) 1.00,
(c) 0.250, (d) impossible to determine.
 (ii) What fraction of the energy input is expelled to
the cold reservoir? (a) 0.250, (b) 0.750, (c) 1.00, (d)
impossible to determine.
 The energy input to an engine is 4.00 times greater
than the work it performs.
 (i) What is its thermal efficiency? (a) 4.00, (b) 1.00,
(c) 0.250, (d) impossible to determine.
 (ii) What fraction of the energy input is expelled to
the cold reservoir? (a) 0.250, (b) 0.750, (c) 1.00, (d)
impossible to determine.
Qh = 4 Weng
e = Weng/Qh = Weng/4Weng
= 0.25
e = 0.25
Qc /Qh = 1 – 0.25 = 0.75
 An engine transfers 2.00 x 103 J of energy from a
hot reservoir during a cycle and transfers 1.50 x
103 J as exhaust to a cold reservoir.
(A) Find the efficiency of the engine.
(B) How much work does this engine do in one
cycle?
What If ? Suppose you were asked for the power
output of this engine. Do you have sufficient
information to answer this question?
 (A)
 (B)
What If ?
Answer:
 No, we do not have enough information. The power of an
engine is the rate at which work is done by the engine. We
know how much work is done per cycle, but you have no
information about the time interval associated with one cycle.

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Thermodynamics - 203PHYS

  • 1. Instructor: Dr. Sabar D. Hutagalung Physics Department, Faculty of Science, Jazan University, Jazan, Saudi Arabia Email: sdhutagalung@gmail.com
  • 2.
  • 3.  Raymond A. Serway & John W. Jewett, Jr., Physics for Scientists and Engineers with Modern Physics, 9th Edition, Brooks/Cole, 2014.
  • 4.  Zeroth (0th) law of thermodynamics  Thermometers and Celcius temperature scale  Work and heat in thermodynamic processes  The first law of thermodynamics  Energy transfer mechanism in thermal processes  Heat engines and the second law of thermodynamics
  • 5.  The 0th law: ◦ If two systems are each in thermal equilibrium with a third, they are also in thermal equilibrium with each other.  The 1st law: ◦ The change in internal energy of a system (ΔU) is due to heat gain or loss (Q) and work done (W).  The 2nd law: ◦ Heat flows spontaneously from a substance at a higher temperature to a substance at a lower temperature and does not flow spontaneously in the other direction.  The 3rd law: ◦ It is not possible to lower the temperature of any system to absolute zero in a finite number of steps.
  • 6.  “If objects A and B are separately in thermal equilibrium with a third object C, then A and B are in thermal equilibrium with each other.” Heat will always flow in a direction from hot objects to colder ones, but never the other way around. Thermal equilibrium (same temperature)
  • 7.  Thermometers are devices used to measure the temperature of a system.  All thermometers are based on the principle that some physical property of a system changes as the system’s temperature changes (volume, dimensions, pressure, electric resistance, color). A common thermometer consists of a mass of liquid – usually mercury or alcohol - that expands into a glass capillary tube when heated.
  • 8.  Any temperature change in the range of the thermometer can be defined as being proportional to the change in length of the liquid column.  The thermometer calibrated with a natural system that remains at constant temperature.  A mixture of water and ice in thermal equilibrium at atmospheric pressure is defined to have a temperature of zero degrees Celsius, 0oC; called the ice point of water.  A mixture of water and steam; is defined as 100oC, which is the steam point of water.  The length of the liquid column between the two points is divided into 100 equal segments to create the Celsius scale.
  • 9.  Mercury and alcohol have different thermal expansion properties: they may indicate a slightly different value for a temperature.  Mercury and alcohol have limited range of temperatures over which it can be used.  A mercury thermometer cannot be used below -39oC (the freezing point of mercury).  An alcohol thermometer is not useful for above 85oC (the boiling point of alcohol).  Therefore, need a universal thermometer whose readings are independent of the substance used in it (the gas thermometer).
  • 10.  The height h, the difference between the mercury levels in B and A, indicates the pressure in the flask at 0oC by equation:  The flask is then immersed in water at the steam point for the gas pressure at 100oC.  These two pressure and temperature values are then plotted.  One version of a gas thermometer is the constant-volume apparatus.  The physical change exploited is the variation of pressure of gas with temperature.  The flask is immersed in an ice-water bath, and mercury reservoir B is raised or lowered until the top of the mercury in column A is at the zero point on the scale.
  • 11. Conversion formulas: Example 19.1. On a day when the temperature reaches 50oF, what is the temperature in degrees Celsius and in Kelvins? Answer:
  • 12.  Internal energy is all the energy of a system that is associated with its microscopic components—atoms and molecules—when viewed from a reference frame at rest with respect to the center of mass of the system.  Usually the internal energy consists of the sum of the potential and kinetic energies of the working gas molecules.
  • 13.  Heat is defined as a process of transferring energy across the boundary of a system because of a temperature difference between the system and its surroundings.  It is also the amount of energy Q transferred by this process.
  • 14.  State variables in thermodynamics: pressure (P), volume (V), temperature (T), and internal energy (Eint).  A second category is transfer variables (heat (Q) and work (W) as the transfer variables).  The heat is positive or negative, depending on whether energy is entering or leaving the system.  The work is positive if system compressed and negative if system expands.
  • 15.  As the piston is pushed downward by an external force through a displacement of the work done on the gas is:  Because Ady is the change in volume of the gas dV, the work done on the gas: If gas is compressed, dV is negative and dW work done on the gas is positive. If gas expands, dV positive and dW work done on the gas negative.
  • 16.  The total work done on the gas as its volume changes from Vi to Vf is The curve on a PV diagram is called the path taken between the initial and final states.
  • 17. The volume is first reduced from Vi to Vf at constant pressure Pi and the pressure of the gas then increases from Pi to Pf by heating at constant volume Vf . The pressure is increased from Pi to Pf at constant volume Vi and then the volume of the gas is reduced from Vi to Vf at constant pressure Pf . Both P and V change continuously, the work done on the gas has some value between the values obtained in the first two processes.
  • 18.  The gas in the cylinder is at a pressure equal to 1.01 x 105 Pa and the piston has an area of 0.1 m2. As energy is slowly added to the gas by heat, the piston is pushed up a distance of 4 cm. Calculate the work done by the expanding gas on the surroundings, Wenv, assuming the pressure remains constant.
  • 19.  Find the change in volume of the gas, dV,  The work done: W = -P (Vf - Vi) = -P dV = P dV (gas expands: dV is positive)
  • 20.  The 1st Law of Thermodynamics (Conservation) states that “energy is always conserved, it cannot be created or destroyed.”  Energy can be changed from one form to another, but it cannot be created or destroyed.  The 1st law: ◦ The change in internal energy of a system (ΔU) is due to heat gain or loss (Q) and work done (W).
  • 21.  The sum of the heat transferred into the system and the work done on the system equals the change in the internal energy of the system. DEint - change internal energy; Q - energy or heat transfers; and W - work.
  • 22. Isolated system:  No energy transfer by heat and the work done on the system is zero; hence, the internal energy remains constant. Isolated system
  • 23. Cyclic process:  A process that starts and ends at the same state.  The change in the internal energy is zero therefore, the energy Q added to the system must equal the negative of the work W done.
  • 24.  Adiabatic process is a process which no energy enters or leaves the system by heat; that is, Q = 0. ◦ An adiabatic process can be achieved either by thermally insulating the walls of the system or by performing the process rapidly so that there is negligible time for energy to transfer by heat.
  • 25.  Free expansions. A process in which no heat transfer occurs between the system and its environment and no work is done on or by the system. Thus, Q =W = 0.  Isobaric process is a process that occurs at constant pressure. ◦ The values of the heat and the work are both usually nonzero.
  • 26.  Isovolumetric process is a process that takes place at constant volume. ◦ Because the volume does not change in such a process, the work done is zero (W = 0).  Isothermal process is a process that occurs at constant temperature. ◦ Because the temperature does not change in a process involving an ideal gas, DEint = 0. Q = -W
  • 27. The first law of Thermodynamics: Special cases The General Law: DEint = Q + W Process Restriction Consequence Isolated system Q = W = 0 DEint = 0 Cyclic DEint = 0 Q = -W Adiabatic Q = 0 DEint = W Free expansions Q = W = 0 DEint = 0 Isobaric W = -P(Vf - Vi) DEint = Q + W Isovolumetric W = 0 DEint = Q Isothermal DEint = 0 Q = -W
  • 28.
  • 29. 0 + + + 0 + 0 0 0
  • 30.  Suppose an ideal gas is allowed to expand quasi-statically at constant temperature; PV = nRT = constant  Work:  Because T is constant: Figure 20.9 PV diagram for an isothermal expansion of an ideal. W = - nRT ln (Vf-Vi) = nRT ln (Vi-Vf)
  • 31.  Characterize the paths in Figure 20.10 as isobaric, isovolumetric, isothermal, or adiabatic. For path B, Q = 0. The blue curves are isotherms. Figure 20.10
  • 32.  Characterize the paths in Figure 20.10 as isobaric, isovolumetric, isothermal, or adiabatic. For path B, Q = 0. The blue curves are isotherms. Answer: A: isovolumetric B: Adiabatic C: Isothermal D: Isobaric Figure 20.10
  • 33.  A 1.0-mol sample of an ideal gas is kept at 0.0°C during an expansion from 3.0 L to 10.0 L. ◦ (A) How much work is done on the gas during the expansion? ◦ (B) How much energy transfer by heat occurs between the gas and its surroundings in this process? ◦ (C) If the gas is returned to the original volume by means of an isobaric process, how much work is done on the gas?
  • 34. (A) How much work is done on the gas during the expansion? This is isothermal process: T = 0 oC = 273 K (constant) n = 1; R = 8.31 J/mol Vi = 3 L = 3x10-3 m3 Vf = 10 L = 10x10-3 m3 Work negative (gas expands).
  • 35. (B) How much energy transfer by heat occurs between the gas and its surroundings in this process? In isothermal process, DEint = 0
  • 36. (C) If the gas is returned to the original volume by means of an isobaric process, how much work is done on the gas? Returned to original volume by isobaric process: Vi = 10 L = 10x10-3 m3 Vf = 3 L = 3x10-3 m3 Work positive (gas compressed). = 1.6 x 103 J
  • 38.  Conduction is the process energy transfer by heat (Q) through the material of the body.  Conduction occurs only if there is a difference in temperature between two parts of the conducting medium.  The rate of energy transfer by heat is: where P is power (watt, W), Q is heat (Joule, J), k is the thermal conductivity (W/m °C), and |dT/dx| is the temperature gradient. Figure 20.11
  • 39.  Uniform rod of length L is thermally insulated so that energy cannot escape from its surface except at the ends.  The temperature gradient: The rate of energy transfer by conduction through the rod is:
  • 40.  A compound slab containing several materials of thicknesses L1, L2, . . . and thermal conductivities k1, k2, . . .  The rate of energy transfer through the slab at steady state is  where Th and Tc are the temperatures of the outer surfaces.
  • 41.  You have two rods of the same length and diameter, but they are formed from different materials. The rods are used to connect two regions at different temperatures so that energy transfers through the rods by heat. They can be connected in series as in Figure 20.13a or in parallel as in Figure 20.13b.  In which case is the rate of energy transfer by heat larger? (a) The rate is larger when the rods are in series. (b) The rate is larger when the rods are in parallel. (c) The rate is the same in both cases. Answer: (b) Because larger contact area, A when connected in parallel.
  • 42.  Two slabs of thickness L1 and L2 and thermal conductivities k1 and k2 are in thermal contact with each other as shown in Figure 20.14. The temperatures of their outer surfaces are Tc and Th, respectively, and Th > Tc. Determine the temperature at the interface and the rate of energy transfer by conduction through an area A of the slabs in the steady-state condition. Figure 20.14
  • 43.  Express the rate at which energy is transferred through an area A of slab 1:  Express the rate at which energy is transferred through the same area A of slab 2:  Set these two rates equal to represent the steady-state situation:  Solve for T:  Substitute Equation (3) into either Equation (1) or Equation (2): Figure 20.14
  • 44.  Convection is energy transfer by the movement of molecules within substances/fluids such as gases and liquids.  Natural convection: Convection resulting from differences in density. ◦ Example: Airflow at a beach.  Forced convection: The heated substance is forced to move by a fan or pump. ◦ Example: Hot-water heating systems
  • 45.
  • 46.  Radiation is energy transfer by electromagnetic waves.  The rate of energy transfer by radiation is proportional to the fourth power of the absolute temperature of the surface. This known as Stefan’s law, is expressed as: where P is the power, s is a constant = 5.6696 x 10-8 W/m2 K4, A is the surface area, e is the emissivity, and T is the surface temperature in Kelvins. The value of e can vary between zero and unity.
  • 47.  The emissivity, e is equivalent to the absorptivity, which is the fraction of the incoming radiation that the surface absorbs.  A mirror has very low absorptivity & emissivity because it reflects almost all incident light.  A black surface has high absorptivity & emissivity.  An ideal absorber is defined as an object that absorbs all the energy incident on it, e =1, is often referred as a black-body.  So, the emissivity, e is defined as the ratio of the energy radiated from a material's surface to that radiated from a black-body at the same temperature and wavelength.  Every second, ~1370 J of electromagnetic radiation from the Sun passes perpendicularly through each 1 m2 at the top of the Earth’s atmosphere.
  • 48.  If an object is at a temperature T and its surroundings are at an average temperature T0, the net rate of energy gained or lost by the object as a result of radiation is:
  • 49.  The Dewar flask is a container designed to minimize energy transfers by conduction, convection, and radiation.  A Dewar flask is used to store cold or hot liquids for long periods of time.  Dewar flash is commonly used to store liquid nitrogen (boiling point 77 K) and liquid oxygen (bp 90 K).  An insulated bottle or Thermos, is equivalent of a Dewar flask.  For liquid helium (bp 4.2 K), necessary to use a double Dewar system in which the Dewar flask containing the liquid is surrounded by a second Dewar flask.
  • 50. Energy is transferred by direct contact. Energy is transferred by the mass motion of molecules. Energy is transferred by electromagnetic radiation.
  • 51.  A poker is a stiff, nonflammable rod used to push burning logs around in a fireplace. For safety and comfort of use, should the poker be made from a material with (a) high thermal conductivity, (b) low thermal conductivity, (c) average thermal conductivity?
  • 52.
  • 53.  A heat engine is a device that takes in energy by heat and, operating in a cyclic process, expels a fraction of that energy by means of work.  A heat engine carries some working substance through a cyclic process: (1) the working substance absorbs energy by heat from a high-temp energy reservoir, (2) work is done by the engine, and (3) energy is expelled by heat to a lower-temp reservoir.
  • 54.  Example of heat engine, a steam engine, which uses water as the working substance. 1. The water in a boiler absorbs energy from burning fuel, 2. water evaporates to steam, 3. does work by expanding against a piston. 4. After the steam cools and condenses, the liquid water produced returns to the boiler and the cycle repeats.
  • 55.  The engine absorbs a quantity of energy |Qh| from the hot reservoir. We use absolute values.  The engine does work Weng (so that W = -Weng) and then gives up a quantity of energy |Qc| to the cold reservoir.  Cyclic process: DEint = Q+W = Q -Weng = 0 Weng = Qnet ; Qnet = |Qh| - |Qc|  Therefore,  The thermal efficiency, e of a heat engine:
  • 56.  Absorbs heat, Qh  Performs work, Weng  Rejects heat, Qc A heat engine is any device which through a cyclic process. Cold Res. Tc Engine Hot Res. Th Qh WengQc
  • 57.  Kelvin–Planck form of the second law of thermodynamics states the following: “It is impossible to construct a heat engine that, operating in a cycle, produces no effect other than the input of energy by heat from a reservoir and the performance of an equal amount of work.”
  • 58. Cold Res. Tc Engine Hot Res. Th 400 J 300 J 100 J • A possible engine. • An IMPOSSIBLE engine. Cold Res. Tc Engine Hot Res. Th 400 J 400 J
  • 59.  The energy input to an engine is 4.00 times greater than the work it performs.  (i) What is its thermal efficiency? (a) 4.00, (b) 1.00, (c) 0.250, (d) impossible to determine.  (ii) What fraction of the energy input is expelled to the cold reservoir? (a) 0.250, (b) 0.750, (c) 1.00, (d) impossible to determine.
  • 60.  The energy input to an engine is 4.00 times greater than the work it performs.  (i) What is its thermal efficiency? (a) 4.00, (b) 1.00, (c) 0.250, (d) impossible to determine.  (ii) What fraction of the energy input is expelled to the cold reservoir? (a) 0.250, (b) 0.750, (c) 1.00, (d) impossible to determine. Qh = 4 Weng e = Weng/Qh = Weng/4Weng = 0.25 e = 0.25 Qc /Qh = 1 – 0.25 = 0.75
  • 61.  An engine transfers 2.00 x 103 J of energy from a hot reservoir during a cycle and transfers 1.50 x 103 J as exhaust to a cold reservoir. (A) Find the efficiency of the engine. (B) How much work does this engine do in one cycle? What If ? Suppose you were asked for the power output of this engine. Do you have sufficient information to answer this question?
  • 62.  (A)  (B) What If ? Answer:  No, we do not have enough information. The power of an engine is the rate at which work is done by the engine. We know how much work is done per cycle, but you have no information about the time interval associated with one cycle.