If the temperature of a gas confined to such a cylinder is raised from 254°C to 590°C, what is the ratio of the initial volume to the final volume if the pressure exerted on the gas remains constant?

Question

If the temperature of a gas confined to such a cylinder is raised from 254°C to 590°C, what is the ratio of the initial volume to the final volume if the pressure exerted on the gas remains constant?

Answer 1

Use the universal gas law P₁V₁/ T₁ = P₂ V₂ /T₂ since P₁ =P₂ law becomes V₁/ T₁ =V₂/T₂ where T₁ =254 deg C and T₂ = 590 deg C converting these two temperatures to Kelvin T₁ = 527 K and T₂ = 863 K so

V₁/V₂ =T₁/T₂ = 527 / 863 = 0.61