Problema Solution

The volume V of given mass of gas varies directly as the temperature T and inversely as the pressure P. If V= 230.0 in.3 when T = 230 and P = 15 lb/in in.2, what is the volume when T = 160 and P = 10/in.2?

Answer provided by our tutors

V = C*T/P, where C is constant

VP/T = C

V1 = 230.0 in^3

T1 = 230

P1 = 15 lb/in^2

We need to find V2 when T2 = 160 and P2 = 10 lb/in^2.

V2P2/T2 = V1P1/T1

V2*10/160 = 230*15/230

click here to see the equation solved for V2

........

V2 = 240 in^2

When T = 160 and P = 10lb/in^2 the volume is V = 240 in^3.