Question

Calculate the % change in volume of an ideal gas when its pressure is increased by a factor of 8 and its temperature increases from 95 0C to 1700C.

Answer 1

Let P₁,V₁ and T₁  be the initial condition of the gas

and P₂, V₂ and T₂ be the final condition of the gas

as given, T₁ = 95 degree celcius = 95 + 273 = 368 K

T₂ = 1700 degree celcius = 1700 + 273 = 1973 K

also, P₂ = 8*P₁

Ideal gás equation, PV = nRT

só, Volume, V = nRT/P

Initial Volume, V₁ = 368 *nR/P₁

Final volume, V₂ = 1973 * nR/ 8P₁ = 246.625 * nR/P₁

só, percentage change in the volume V =100* (V₁ - V₂)/ V₁

= 100 *(368 - 246,625)/ 368 = 32.98 %

só, volume of the gás will be decreased by 32.98 %