Consider an ideal gas having initial pressure and volume p1

Question

Consider an ideal gas having initial pressure and volume p₁ , V₁ . In terms of p₁ , V₁ , and y , write down an expression for the variation of p with V during

(a) isothermal expansion,

(b) adiabatic expansion.

(c) Show that the slope dp/dV of the path on a p-V diagram is steeper for adiabatic processes than for isothermal processes, given that y = Cp/Cy >1.