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

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

JIPMERJIPMER 2018Thermal Properties of Matter

Solution:

$\frac{PV}{T}=nR=\frac{m}{M}\,|\,R$ or $\frac{PV}{T}=\frac{R}{M}\,|\,m$
i.e. $\frac{PV}{T} $ versus m 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.