Question

An ideal gas is taken through the cycle A $\longrightarrow$ B $\longrightarrow$ C $\longrightarrow$ A, as shown in the figure. If the net heat supplied to the gas in the cycle is 5J, the work done by the gas in the process A $\longrightarrow$ B is
(a) 2J
(b) 3J
(c) 4J
(d) $\infty$
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Answer 1

Question:

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

(a) 2J

(b) 3J

(c) 4J

(d) $\infty$

Answer:

Process B$\longrightarrow$C occurs at constant volume

$\therefore$ ${W}_{BC}$ = 0

Process C $\longrightarrow$ A occurs at constant pressure.

$\therefore$ ${W}_{CA}$ = P$\Delta$V = 1(4-2) = 2J

As the entire process is cyclic, $\Delta$U = 0

$\therefore$ $\Delta$Q = $\Delta$W + $\Delta$U

= ${W}_{AB}$ + ${W}_{BC}$ + ${W}_{CA}$ + 0

$\implies$ 5 = ${W}_{AB}$ + 0 + 2

$\implies$ ${W}_{AB}$ = 3J

So, option (b) is correct.

_____________________

Answer 2

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