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Question

One mole of an ideal monatomic gas undergoes a cyclic process as shown in the figure. The total heat supplied to the gas is:

Options

A.600 J
B.800 J
C.400 J
D.500 J

Solution

Sol. [Key Concept: Cyclic process — net work = area of the P–V loop]

For any cyclic process, change in internal energy $\Delta U = 0$

Here, total heat exchange

$$\begin{matrix} \Delta Q & \ = W + \Delta U \\ & \ = W \\ & \ = (300 - 100)(5 - 2) \\ & \ = 200 \times 3 \\ & \ = 600\text{ }J \end{matrix}$$

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