Question

A 220.0-mL sample of helium gas is in a cylinder with a movable piston at 105 kPa and 275K. the piston is pushed until the sample has a volume of 95.0mL. the new temperature of the gas is 310. K. what is the new pressure of the sample?

Answer 1

Using the general gas equation:

P₁V₁/T₁ = P₂V₂/T₂

(105*220)/275 =   (P₂*95)/310

(105*220)*310/275  = P₂*95

 (105*220*310)/(275*95)  =  P₂

       274.11        =  P₂

       P₂  = 274.11 kPa

       New Pressure =  274.11 kPa