Question

A rigid canister holds 50.0 L of helium gas at 32.0°C and 49.9 kPa. The gas is cooled until the pressure reaches 14.2 kPa. What is the Kelvin temperature of the helium?

Answer 1

Answer:-

86.794 K

Explanation:-

Initial temperature T 1 = 32 C + 273 = 305 K

Initial Pressure P 1 = 49.9 KPa

New Pressure P 2 = 14.2 KPa

The Volume remains same since it is rigid.

∴V 1 = V 2 = 50.0 L

Using the relation

P 1 V 1 / T1 = P 2 V 2 / T 2

New temperature T 2 = P 2 V 2 T 1 / ( P 1 V 1)

= 14.2 KPa x 50.0 L x 305 K / ( 49.9 KPa x 50.0 L)

= 86.794 K