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Please show your work and be clear The PV diagram below refers to one mole of a

ID: 1775270 • Letter: P

Question

Please show your work and be clear

The PV diagram below refers to one mole of a monatomic ideal gas and shows a process that has three steps, one to C), and returned to its original state by a compression in which the pressure declines linearly (C to A). Complete the following table by calculating U, W (w/ the correct signs and units) for each of the three steps, and for the whole (Hint: First complete the U column, second the W column, third the Q column) sovolumetric (A to B), followed by an isobaric expansion (B to cycle (total), po = 1.00 Pa, V.-1.00 m3 2po A to B B to C C to A TOTAL 4993 ok 3 J po

Explanation / Answer

A to B


dU = V0*(PB - PA)*(3/2) = 1.5 J


W = p*dV = 0

Q = dU = 1.5 J

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from B to C


dU = PB*(Vc - VB)*(5/2) = 2*(3-1)*(5/2)= 10 J

W = PB*(Vc - VB) = 1(3-1) = 2J


Q = dU + W = 12 J


===========================


C to A


dU = -(1.5 + 10) = -11.5 J


W = area under curve = -(2po +po)*(3vo-v0)/2 = -3J

Q = U + W = -14.5 J

TOTAL

dU = 0

W = -1 J


Q = -1 J