At a closed system of fixed composition, prove Or не = 0.-

(dV 2. The derivative dT P is tedious to calculate by implicit differentiation of an equation of state such as Peng-Robinson. Show that calculus permits us to find the derivative in terms of derivatives of pressure, which are easy to find. Provide the formula for (dv for the Peng- Robinson equation of state. dT

5. The density of water (1)/ methanol (2) mixture at 298.15 K is given below. Determine V, and V, at x, = 0.1, o.5 and 0.9. Additionally determine, V,, V2, V, V. (Determine specific partial properties i.e., the property/mass). 0.1162 0.2221 0.2841 0.3729 0.4186 0.5226 X1 p (kg. m) 786.85 806.55 825.96 837.50 855.03 864.25 887.22 0.6119 0.722 0.8509 0.9489 1.000 p (kg. m) 905.37 929.537 957.522 | 981.906 | 997.047

Calculate the fugacity of propylene at 400 K 50 bar by Peng-Robinson equation of state.

Solve question 3 and 4 pls.

Evaluate the following three (3) expressions in terms of {P,V,T,Cp, Cr}. Simplify your answers for IDEAL gas au ar au ar ar OP 1 av V ap

The Tait equation for liquids is written for an isotherm as: АР V = Vo ( 1 – В +Р where V is the molar volume, Vo is the molar volume at zero pressure, A and B are positive constants. Find the expression for the isothermal compressibility for this equation.