Q. The figure below shows the plot of $\frac{pV}{nT}$ versus p for oxygen gas at two different temperatures.

Read the following statements concerning the above curves. The dotted line corresponds to the ideal gas behavior $T_{1} > T_{2}$ The value of $\frac{pV}{nT}\ $ at the point where the curves meet on the $y$-axis is the same for all gases.

A) (i) only
B) (i) and (ii) only
C) All of these
D) None of these
Explanation

(c) The dotted line in the diagram shows that there is no derivation in the value of $\frac{pV}{nT}$ for different temperature $T_{1}\ and\ T_{2}$ for increasing pressure so, this gas behaves ideally. Hence, dotted line corresponds to ‘ideal’ gas behavior.
At high temperature, the derivation of the gas is less and at low temperature the derivation of gas is more. In the graph, derivation for $T_{2}$ is greater than for $T_{1}$. Thus,
$T_{1} > T_{2}$
Since, the two curves intersect at dotted line so, the value of $\frac{pV}{nT}$ at that point on the $y$-axis is same for all gases.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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