A gas syringe contains 56.05 mL of a gas at 21.50C. Determine the volume that the gas will occupy if the temperature is increased to 44.30C at the same pressure.

The volume the gas will occupy is 60.39mL

Explanation:

The gas law to be followed here is the Charles' law which states that the volume of a given mass of gas is inversely proportional to its temperature (in Kevin) provided that pressure remains constant. That is V∝T.

Equation thereof = V₁/T₁ = V₂/T₂

where V₁ is the initial volume  (56.05mL)

V₂ is the final volume (unknown)

T₁ is the initial temperature (21.5°C + 273 = 294.5K)

T₂ is the final temperature (44.3°C + 273 = 317.3K)

Thus,

56.05/294.5 = V₂/317.3

V₂ = 56.05 x 317.3/294.5

V₂ = 60.39mL