If five moles of a gas at a pressure of 5.4 kpa have a volume of 120 liters, what is the temperature?

Given parameters:

number of moles of gas = 5 moles

pressure on the gas = 5.4kpa

volume of gas = 120L

Unknown:

temperature of the gas = ?

Solution:

To solve this problem, we have to apply the ideal gas law.

The law is derived from the combination of the three gas laws: Boyle's law, Charles's law and Avogadro's law.

Combining the laws, we have;

PV = nRT

where P is the pressure in atm

V is the volume

n is the number of moles

R is the gas constant 0.082atm dm³ mol⁻¹ K⁻¹

T is the temperatue in kelvin

Now, we must convert the pressure from kpa to atm;

1 atm = 101.325kpa

5.4kpa;

= 0.053atm

Input the parameters;

0.053 x 120 = 5 x 0.082 x T

T = 15.5K