Equation for work of a reversible isothermal compression

[cheertcc101]

I need to find the equation for the work of a reversible isothermal compression of 1 mol of a gas in a piston/cylinder assembly if the molar volume of the gas is given by

V= ((RT)/P) + b where b and R are positive constants.

Not sure what to do .. please help!

THANKS

 

[stewartcs]

I need to find the equation for the work of a reversible isothermal compression of 1 mol of a gas in a piston/cylinder assembly if the molar volume of the gas is given by

V= ((RT)/P) + b where b and R are positive constants.

Not sure what to do .. please help!

THANKS

Start with the general equation for boundary work:

$$W_b = \int_1^2{PdV}$$

Solve the equation you were given in terms of P and plug it into the equation above and integrate.

CS