A mass of gas under constant pressure occupies a volume of 0.5m3 at a temperture of 20 c using formula for cubic expansions what will be the volume at temperture of 45 c without a change in pressure

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04-01-2018
Physics

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A mass of gas under constant pressure occupies a volume of 0.5m3 at a temperture of 20 c using formula for cubic expansions what will be the volume at temperture of 45 c without a change in pressure

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Louli Louli · Answer 1 · 2018-01-05T12:36:42+01:00

This problem can be explained and solved using Charles's law of gas which states that: "Under constant pressure, the volume of a given mass of gas is directly proportional to its temperature in kelvin."

This law can be transformed into the following relation:
V1 / T1 = V2 / T2
where:
V1 is the initial volume = 0.5 m^3
T1 is the initial temperature = 20 + 273 = 293 degrees kelvin
V2 is the final volume that we need to calculate
T2 is the final temperature = 45 + 273 = 318 degrees kelvin

Substitute with the givens in the above relation to get the final volume as follows:
V1 / T1 = V2 / T2
0.5 / 293 = V2 / 318
V2 = (0.5/293) * 318
V2 = 0.54266 m^3