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- 2. Evaluate() for a van der Waals gas.1. Determine the expression for (), for (a) a gas following ӘР Tin the van der Waals equation and (b) virial equation.For the following function, evaluate the derivatives in a-f below. F(w,x,y,z)=3xy2+w3z332yxy2z3w a.(Fx)w.y,zb.(Fw)x,y,zc.(Fy)w.x,zd.[ z(Fw)w.y,z ]w,y,ze.[ z(Fw)w.x,y ]w,y,zf.{ [ z(Fw)w.x,y ]w,y,z }x,y,z
- Repeat the previous exercise for a gas that follows the Berthelot equation of state see exercise 1.55.Use the ideal gas law to symbolically prove the cyclic rule of partial derivatives.Use Figure 1.11 to construct the cyclic rule equivalent of Does the answer make sense in light of the original partial derivative?
- How to prove that the volume in van der waals equation is a state function?Write out the total derivative equation for "P" as a function of "T" and “V”.1. Recall the following relationship developed in lecture: ƏP - P ƏT a) What is the name of this relationship? b) Evaluate for an ideal gas. c) What is the significance of this result in terms of an ideal gas? d) Evaluate for a van der Waals gas. e) What is the significance of this result in terms of a van der Waals gas?