Question

1a/ A sample of xenon gas at a pressure of 0.679 atm and a temperature of 282 °C, occupies a volume of 569 mL. If the gas is cooled at constant pressure until its volume is 476 mL, the temperature of the gas sample will be (........) °C.

1b/ A sample of nitrogen gas at a pressure of 876 mm Hg and a temperature of 26 °C, occupies a volume of 10.1 liters. If the gas is heated at constant pressure to a temperature of 66 °C, the volume of the gas sample will be (........) L.

1c/ A sample of carbon dioxide gas at a pressure of 766 mm Hg and a temperature of 40 °C, occupies a volume of 8.96 liters. If the gas is cooled at constant pressure to a temperature of -9 °C, the volume of the gas sample will be (........) L.

Answer 1

a)
Given:
Ti = 282.0 oC
= (282.0+273) K
= 555 K
Vi = 569 mL
Vf = 476 mL

use:
Vi/Ti = Vf/Tf
569.0 mL / 555.0 K = 476.0 mL / Tf
Tf = 464 K
= (464 - 273) oC
= 191 oC
Answer: 191 oC

b)
Given:
Vi = 10.1 L
Ti = 26.0 oC
= (26.0+273) K
= 299 K
Tf = 66.0 oC
= (66.0+273) K
= 339 K

use:
Vi/Ti = Vf/Tf
10.1 L / 299.0 K = Vf / 339.0 K
Vf = 11.5 L
Answer: 11.5 L

c)
Given:
Vi = 8.96 L
Ti = 40.0 oC
= (40.0+273) K
= 313 K
Tf = -9.0 oC
= (-9.0+273) K
= 264 K

use:
Vi/Ti = Vf/Tf
8.96 L / 313.0 K = Vf / 264.0 K
Vf = 7.56 L
Answer: 7.56 L