Question

$V$ versus $T$ curves at constant pressure $P_1$ and $P_2$ for an ideal gas are shown in the figure given above. Choose the correct relation.

• A. $P_1>P_2$
• B. $P_1<P_2$
• C. $P_1=P_2$
• D. Cannot be related

Answer 1

Answer: (B)

$P_1<P_2$

According to Charles's law, when the pressure on a sample of a dry gas is held constant, the Kelvin temperature and the volume will be directly related.

This directly proportional relationship can be written as: $V\propto T$ & $P\propto V$

$⟹P\propto T$

For the above case, let us consider at a point volume is constant. We find that the temperature of the gas at pressure $P_1$ is greater than that of gas at pressure $P_2$.

$\therefore$ $P_1<P_2$

Hence, Option "B" is the correct answer.