The initial state of 0.1 mol of an ideal monatomic gas is P o = 32Pa and V o = 8m 3 . The final…

The initial state of 0.1 mol of an ideal monatomic gas is Po = 32Pa and Vo = 8m3 . The final state is P1 = 1 Pa and V1 = 64 m3. Suppose that the gas undergoes a process along a straight line joining these two states with an equation P = aV + b, where a = -31/56 and b = 255/7. Plot this straight line to scale on a PV diagram. Calculate:

(a) Temperature T as a function of V along the straight line.

(b) The value of V at which T is a maximum.

(c) The values of To, Tmax, and T1

(d) The heat Q transferred from the volume Vo to any other volume V along the straight line.

(e) The values of P and V at which Q is a maximum.

(f) The heat transferred along the line from Vo to V when Q is a maximum.

(g) The heat transferred from V at maximum Q to VI.

 

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