In the $V - T$ diagram shown in adjoining figure, what is the relation between $p_{1}$ and $p_{2}$ ?

p_{2} = p_{1}

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p_{2} < p_{1}

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p_{2} > p_{1}

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Insufficient data

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Solution

The correct option is B $p_{2} < p_{1}$
As per the graph,
In an isobaric process, p = constant
Hence, $V \propto T$
i.e., $V = (\begin{matrix} \frac{n R}{P} \end{matrix}) T$
$∴ V - T$ graph is a straight line with $s l o p e \propto (s l o p e)_{2} > (s l o p e)_{1}$
$∴ P_{2} < P_{1}$

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