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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.
We know that,
PV=nRT
PV=mMRT, where m is mass of the gas and M is molar mass.
PVT=RMm ........(1)
On comparing (1) with the equation of a straight line, y=mox+c
where y=PVT & x=m
We get, y-intercept, c=0
Slope, mo=RM
As y-intercept is zero, the straight line passes through the origin.
Also, slope will be different for different gases as molar mass will be different.


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