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Heat Transfer

Figure repres...

Question

Figure represents two processes, a and b for a given sample of gas. Let $△ Q_{1}$ and $△ Q_{2}$ be the heat absorbed by the systems in the two cases respectively. Which of the following relations is correct?

△ Q_{1} = △ Q_{2}

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△ Q_{1} > △ Q_{2}

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△ Q_{1} \leq △ Q_{2}

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△ Q_{1} < △ Q_{2}

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Solution

The correct option is B $△ Q_{1} > △ Q_{2}$
As the final and the initial states in both the processes are same we have no change in internal energy. Thus $Δ U = 0$ As the work done in a process is given by the area under the PV graph, we get $Δ W_{1} > Δ W_{2}$ .

Using first law we have $Δ Q = Δ W + Δ U$ .
Thus, we get $Δ Q = Δ W$ .
Thus, we have $Δ Q_{1} > Δ Q_{2}$

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