The figure below shows two paths that may be taken by a gas from an initial poin

Question

The figure below shows two paths that may be taken by a gas from an initial point i to a final point f. Path 1 consists of an isothermal expansion (work is 56 J in magnitude), an adiabatic expansion (work is 39 J in magnitude), an isothermal compression (work is 30 J in magnitude), and then an adiabatic compression (work is 24 J in magnitude). What is the change in the internal energy of the gas if the gas goes from point i to point f along path 2?
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The figure below shows two paths that may be taken by a gas from an initial point i to a final point f. Path 1 consists of an isothermal expansion (work is 56 J in magnitude), an adiabatic expansion (work is 39 J in magnitude), an isothermal compression (work is 30 J in magnitude), and then an adiabatic compression (work is 24 J in magnitude). What is the change in the internal energy of the gas if the gas goes from point i to point f along path 2?

Explanation / Answer

for a cyclic process, the net change of internal energy is 0.so,

x-39+24=0

or x=15 J

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