Question

a.The derivative (∂V/∂T)P is tedious to calculate by
implicit differentiation of an equation of state such as
the Peng-Robinson equation. Show that calculus
permits us to find the derivative in terms of derivatives
of pressure, which are easy to find, and provide the
formula for this equation of state.
b. Using the Peng-Robinson equation, calculate the
isothermal compressibility of ethylene for saturated
vapor and liquid at the following conditions: {Tr = 0.7,
P = 0.414 MPa}; {Tr = 0.8, P = 1.16 MPa}; {Tr = 0.9,
P = 2.60 MPa}.

Answer 1