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An ideal gas is taken from state `1` to state `2` through optional path `A, B, C and D` as shown in the `PV` diagram. Let `Q, W and U` represent the heat supplied, work done and change in internal energy of the gas respectively. Then, A. `Q_(A) - Q(D) = W_(A) - W(D)`B. `Q_(B) - W(B) gt Q_(C) - W(C)`C. `W_(A) lt W(B) lt W_(C) - W(D)`D. `Q_(A) lt Q(B) lt Q_(C) - Q(D)` |
Answer» Correct Answer - A Work done by gas in all four process is positive and in order `W_A gt W_B gt W_C gt W_D` `implies ` c is false The change in intial energy `U` is same for all process. `:. Q_(A) = U +W_A` ..(1) ` Q_(B) = U +W_B` ..(2) ` Q_(C) = U +W_C` ..(3) ` Q_(4) = U +W_A` ..(4) Hence `Q_(A) gtQ_B gt Q_C gtQ_D` `implies ` (d) is false From equation (1) and (4) ltbr. `Q_A - Q_C = W_B - W_C` `implies` (b) is false. |
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