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The isotherms of a fixed mass of an ideal gas at three temperatures $T_{A}, T_{B}$ and $T_{C}$ , then

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$T_{A} > T_{B} > T_{C}$

$T_{A} < T_{B} < T_{C}$

$T_{B} < T_{A} < T_{C}$

$T_{A} = T_{B} = T_{C}$

answer is B.

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Detailed Solution

$p V = n R T \Rightarrow (\frac{1}{V}) = (\frac{1}{n R T}) p$

$\frac{1}{V}$ versus $p$ graph is a straight line passing through origin with slope $= \frac{1}{n R T}$ or Slope $\propto \frac{1}{T}$
More slope, less temperature.
$∴ T_{A} < T_{B} < T_{C}$

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