In a cyclic process a gas is initially at 1 0 5 Pa pressure and its volume is 2 m 3 . First it undergoes an isobaric expansion to increase its volume to 2.5 m 3 . Then in an isochoric process its pres

Question

In a cyclic process a gas is initially at 1 0 5 Pa pressure and its volume is 2 m 3 . First it undergoes an isobaric expansion to increase its volume to 2.5 m 3 . Then in an isochoric process its pressure is doubled. Now the gas is brought back to its initial state by changing the pressure linearly with volume. Find the total amount of heat supplied to the gas in the process.

TestHub · Accepted Answer

Over a full cycle Δ U = 0 , so Q = W = signed area of the loop. The loop A(2, 1 0 5 ), B(2.5, 1 0 5 ), C(2.5, 2 × 1 0 5 ) is traversed counterclockwise, so W = − 2 1 ​ ( 0.5 ) ( 1 0 5 ) = − 25000 J. Q = − 25000 J (heat is rejected).

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