Q-5. This problem focuses on the thermal expansion coefficient for a van der Waals gas. a) Derive an expression for the thermal expansion coefficient of a van der Waals gas [Hint; you can't solve the...

Extracted text: Q-5. This problem focuses on the thermal expansion coefficient for a van der Waals gas. a) Derive an expression for the thermal expansion coefficient of a van der Waals gas [Hint; you can't solve the VDW equation for the molar volume, so use either the reciprocal identity or the method of implicit differentiation to evaluate the partial derivative]. Warning: this formula may not be very simple! b) Show that your equation reduces to the ideal gas formula in the limit that a and b vanish. c) Calculate the thermal expansion coefficient of ammonia, modeled as a van der Waals gas, at 300K and 0.5 L/mole . Compare this to the coefficient of an ideal gas.