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

Explanation:

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

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