A sample of xenon gas at a pressure of 805 mm Hg and a temperature of 40 ° C, occupies a volume of 6.47 liters. If the gas is cooled at constant pressure to a temperature of 5 ° C, the volume of the gas sample will be L. Solution for an ideal gas PV/T = constant at constant pressure V/T = constant so Vf / Tf = Vi / Ti Vf = Vi (Tf/Ti) given Vi = 6.47 L Ti = 40 C = 40 + 273 K = 313 K Tf = 5 C = 5 + 273 K = 278 K plug in the values Vf = 6.47 L x ( 278 K / 313 K) Vf = 5.7465 L so the final volume of the gas sample is 5.7465 L .

1. A sample of xenon gas at a pressure of 805 mm Hg and a temperature of 40 ° C, occupies a
volume of 6.47 liters. If the gas is cooled at constant pressure to a temperature of 5 ° C, the
volume of the gas sample will be L.
Solution
for an ideal gas
PV/T = constant
at constant pressure
V/T = constant
so
Vf / Tf = Vi / Ti
Vf = Vi (Tf/Ti)
given
Vi = 6.47 L
Ti = 40 C = 40 + 273 K = 313 K
Tf = 5 C = 5 + 273 K = 278 K
plug in the values
Vf = 6.47 L x ( 278 K / 313 K)
Vf = 5.7465 L
so

2. the final volume of the gas sample is 5.7465 L