For the Clausius equation of state for a gas, given by,

where R, a, b and c are positive real constants; perform the following calculations: 1. Obtain an expression for the coefficient of isothermal compressibility T . (Value: 15 points) 2. Obtain an expression for the coefficient of isobaric thermal expansion P . (Value: 20 points) 3. Obtain an expression for the coefficient of resistance to isochoric thermomechanical stress P/T (Value: 5 points)

P=VmbRTT(Vm+c)2a