A cycle followed by an engine (made of one mole of perfect gas in a cylinder with a piston) is shown in Fig .

A to B : volume constant B to C : adiabatic C to D : volume constant D to A : adiabatic V_c=V_D=2V_A=2V_B

(a) In which part of the cycle heat is supplied to the engine from outside?

(b) In which part of the cycle heat is being given to the surrounding by the engine?

(c) What is the work done by the engine in one cycle? Write your answer in term of P_A, P_B, V_A

(d) What is the efficiency of the engine? [γ =5/3 for the gas], (C_v= 3/2R for one mole)

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7 months ago

This is a long answer type question as classified in NCERT Exemplar

(a) For the process AB

dV=0 and dW=0

dQ=dU+dW=dU

dQ=dU= change in internal energy , so heat utilised is equal to change in internal energy.

Since p= $\frac{n R}{V} T,$ in adiabatic temperature is directly proportional to pressure. So heat is supplied to

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