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Question: An ideal gas is taken through the cycle A® B ® C ® A, as shown in the figure. If the net heat suppli...

An ideal gas is taken through the cycle A® B ® C ® A, as shown in the figure. If the net heat supplied to the gas in the cycle is 5 J, the work done by the gas in the process C ® A is–

A

– 5 J

B

– 10 J

C

– 15 J

D

– 20 J

Answer

– 5 J

Explanation

Solution

DWAB = PDV = (10) (2 – 1) = 10 J

DWBC = 0 (as V = constant)

From first law of thermodynamicsDQ = DW + DU

DU = 0 (process

ABCA is cyclic)

\ DQ = DWAB + DWBC + DWCA

\ DWCA = DQ – DWAB – DWBC = 5 – 10 – 0

= – 5 J