Consider a piston/cylinder containing a diatomic ideal gas, initially with volume VA and pressure PA. Consider that the gas is the system, and it expands quasistatically to VB , PB , as shown. The gas has N molecules at all times. PB B Q PA A 0 . VA VB V(c) Path 2 i. Sketch a path beginning at A and ending at B that consists of 1 isothermal (constant T) expansion followed by 1 adiabat (an adiabatic process). Let the state at the end of the isothermal process be state D. You may use the same sketch as for part (b) or draw a new one, if the old one is too crowded. ii. Express VD , PD in terms of VA , PA, VB , PB . iii. Calculate the work and heat flows into the system during these two processes, being careful to specify the signs of each. What is the change in U as the system goes from A to B along this path