An ideal gas initially at 15 psia and 200 F is compressed fr

An ideal gas initially at 15 psia and 200 F is compressed from 20 ft³ to 13 ft³. If the final temperature is 407 F, what is the final pressure in psia?

Solution

For an Ideal Gas, PV=mRT

So, PV/T = constant

P₁ = 15, V₁ = 20, T₁ = 200

V₂ = 13, T₂ = 407

P₁V₁/T₁ = P₂V₂/T₂

So, P₂ = P₁V₁T₂ / T₁V₂ = 15 * 20 * 407 / ( 200 * 13 ) = 46.96 psia