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## Homework Statement

In the temperature range 310 K and 330 K, the pressure p of a certain nonideal gas is related to volume V and temperature T by

p = (24.9 J/K) T/V - (0.00662 J/K2)T^2/V

How much work is done by the gas if its temperature is raised from 314 K to 324 K while the pressure is held constant?

## Homework Equations

Pv=NRT

W=integral(p dv)

## The Attempt at a Solution

W=integral((24.9 J/K) T/V - (0.00662 J/K2)T^2/V dv)

I am not sure what to use for the limits of integration. the problem gives me a range of temperatures, is there any way that I can use those? I am very sure the limits of integration should be in units of m^3.