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Ideal Gas Equation

An ideal gas ...

Question

An ideal gas of mass m in state A expands to state B via three paths as shown in figure. If $Q_{1}, Q_{2} and Q_{3}$ represents the heat absorbed by the gas along these paths, then

A

Q_{1} < Q_{2} < Q_{3}

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B

Q_{1} > Q_{2} > Q_{3}

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C

Q_{1} < Q_{2} > Q_{3}

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D

Q_{1} > Q_{2} < Q_{3}

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Solution

The correct option is A $Q_{1} < Q_{2} < Q_{3}$
$Δ u = Constant$

For all, as it is a point function and doesn't depend upon path.

$W_{3} > W_{2} > W_{1} [Area under curve]$

Hence
$Q_{1} < Q_{2} < Q_{3}$

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