First slide

Kinetic theory of ideal gases

Question

The figure below shows the plot of $\frac{P V}{n T}$ versus P for oxygen gas at two different temperatures. Read the following statements concerning the curves given below and identify correct statements.

(i) The horizontal line corresponds to the ideal gas
(ii) $T_{1} > T_{2}$
(iii) The value of $\frac{P V}{n T}$ at the point where the curves meet on the y-axis is the same for all gases

Moderate

A

Only (i)
B

Only (i) and (ii)
C

All of these
D

(ii) only

Solution

For any gas, $\frac{P V}{n T} = R = c o n s \tan t$
For high temperatures, real gases show behaviour closer to ideal gas. Hence, $T_{1} > T_{2}$ .

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