Kinetic Theory - Result Question 3

3. In the given $(V-T)$ diagram, what is the relation between pressure $P_1$ and $P_2$ ?

(a) $P_2>P_1$

(b) $P_2<P_1$

(c) Cannot be predicted

(d) $P_2=P_1$

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Answer:

Correct Answer: 3. (b)

Solution:

  1. (b) $P_1>P_2$

As $V=$ constant $\Rightarrow P \propto T$

Hence from $V-T$ graph $P_1>P_2$

From the Gay - Lussac’s law, volume remain constant, the pressure of a given mass of a gas is directly proportional to its absolute temperature.

$\therefore P \propto T$

$ \frac{P}{T}=\text{ constant } \Rightarrow \frac{P_1}{T_1}=\frac{P_2}{T_2} $



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