Question

A mass of gas under constant pressure occupies a volume of 0.5 m^3 at a temperature of 20^°c using the formula for cubic expansion what will be the volume at a temperature of 45°c without a change in pressure

Answer 1

the answer is A.0.5457875m3

Answer 2

0.542 m³

Solution:

Lets suppose the gas is acting ideally, then according to Charle's Law, "The volume of a fixed mass of gas at constant pressure is directly proportional to the absolute temperature". Mathematically for initial and final states the relation is as follow,

V₁ / T₁ = V₂ / T₂

Data Given;

V₁ = 0.5 m³

T₁ = 20 °C + 273.15 = 293.15 K

V₂ = ??

T₂ = 45 °C + 273.15 = 318.15 K

Solving equation for V₂,

V₂ = V₁ T₂ / T₁

Putting values,

V₂ = (0.5 m³ × 318.15 K) ÷ 293.15 K

V₂ = 0.542 m³

Result:

As the temperature has been increased, therefore, the volume is also increased from 0.5 m³ to 0.542 m³