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

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

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

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

answer is C.

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Detailed Solution

(3) $\frac{P V}{T} = n R = (\frac{m}{M}) R o r \frac{P V}{T} = (\frac{R}{M}) m$

i.e., $\frac{P V}{T}$ 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.

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