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Question: Consider a heat engine as shown in figure Q1 and Q2 are heat added to heat bath T1 and heat taken fr...

Consider a heat engine as shown in figure Q1 and Q2 are heat added to heat bath T1 and heat taken from T2 in one cycle of engine. W is the mechanical work done on the engine. If W > 0, then possibilities are

(i) Q1 > Q2 > 0 (ii) Q2 > Q1 > 0

(iii) Q2 < Q1 < 0 (iv) Q1 < 0, Q2 > 0

A

(i) and (ii)

B

(i) and (iii)

C

(ii) and (iii)

D

(ii) and (iv)

Answer

(i) and (iii)

Explanation

Solution

Here the given figure represent the working of a refrigerator Q1=Q2+W\mathrm { Q } _ { 1 } = \mathrm { Q } _ { 2 } + \mathrm { W }

If then

If is negative is also negative (but less negative as W > 0)

Q2<Q1<0\therefore \mathrm { Q } _ { 2 } < \mathrm { Q } _ { 1 } < 0

Hence (iii) is also correct.