Question #115983

In an air motor cylinder the compressed air has an internal energyof 450kg/kj at the beginning of the expansion and an internal energy of 220kg/kj after expansion. If the work done by air during the expansion is 120kg/kj,calculate the heat flow to and fro the cylinder and state if the system gain or losses heat

Expert's answer

As per the question,

Internal energy of the compressed air (U1)=450kg/KJ(U_1)=450kg/KJ

Internal energy after expansion(U2)=220kg/kJ(U_2)=220 kg/kJ

Work done by air during expansion(W)=120kg/KJ(W)=120 kg/KJ

Q=W+(U2U1)Q=W+(U_2-U_1)

Q=120+(220450)=120230=110kg/KJQ=120+(220-450)=120-230=-110kg/KJ

Here negative sign is showing that heat rejected by the air is 110 kg/KJ, so here heat is getting loss.


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