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Question

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
a straight line parallel to x-axis for all the gases
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B
a straight line passing through origin with a slope having a constant value for all the gases
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C
a straight line passing through origin with a slope having different values for different gases
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D
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
PVT = nR = ( mM)R
Or, PVT=( RM)m
i.e., PVT 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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