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Question: A graph is plotted with \(\frac{PV}{T}\)on y-axis and mass of the gas along x-axis for different gas...

A graph is plotted with PVT\frac{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

B

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

C

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

D

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

Answer

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

Explanation

Solution

PVT\frac{PV}{T} = MRMw\frac{M}{RM_{w}} So y = xRMw\frac{x}{RM_{w}} i.e. yx\begin{matrix} y \propto x \end{matrix}

Straight line having slope m = 1RMw\frac{1}{RM_{w}}

i.e. diff. for diff. gas.