1.
Part A A weather balloon is inflated to a volume of 25.1 L at a pressure of 745 mmHg and a
temperature of 28.1 C. The balloon rises in the atmosphere to an altitude where the pressure is
370. mmHg and the temperature is -13.2 °C Assuming the balloon can freely expand, calculate
the volume of the balloon at this altitude. Vballoon Submit Request Answer
Solution
for gases
PV/T = constant
so
P2V2 / T2 = P1V1/T1
V2 = P1 x V1 x T2 / ( T1 x P2)
given
P1 = 745 mm Hg
V1 = 25.1 L
T1 = 28.1 C = 28.1 + 273 K = 301.1 K
P2 = 370 mm Hg
V2 = ??
T2 = -13.2 C = -13.2 + 273 K = 259.8 K
plug in the values
V2 = 745 mmHg x 25.1 L x 259.8 K / (370 mm Hg x 301.1 K)
V2 = 43.61 L

2.
so
the volume of ballon at the altitude is 43.61 L