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## Homework Statement

Let P2 = 10^6 N/m^2, P1 = 4X10^5 N/m^2 and v = 2.5m^3/kmole Find the specific volume v2.

## Homework Equations

Isothermal process, ideal gas. There is also a picture but it's just a generic P = constant/V plot.

## The Attempt at a Solution

The volume given is the specific volume, so when using the ideal gas law I have to convert from kmoles to moles and make sure I have my n value in the correct place.

I've tried to use the first law of thermodynamics:

d'U = d'Q + d'W

d'U - d'W = d'Q

PdV = Q = nRTdV/V

I get stuck here because once I take the integral I get the v I am looking for, but I don't know what goes on the other side of the equal sign. I don't have a specific heat or an identity for this ideal gas and I'm not sure what to do with the Q.

I've also tried using the ideal gas law P1V1/n = P2V2/n

But I keep getting values of v2 that are smaller than v1