A graph is plotted with PV/T on y-axis and mass of the gas along x-axis for different gases. The graph is

a straight line parallel to x-axis for all the gases

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a straight line passing through origin with a slope having a constant value for all the gases

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a straight line passing through origin with a slope having different values for different gases

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a straight line parallel to y-axis for all the gases

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Solution

The correct option is C a straight line passing through origin with a slope having different values for different gases
$\frac{P V}{T}$ = nR = $(\frac{m}{M}) R$
Or, $\frac{P V}{T} = (\frac{R}{M}) m$
i.e., $\frac{P V}{T}$ versus on graph is straight line passing through origin with slope R/M. i.e., the slope depends on molecular mass of the gas M and is different for different gases

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