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) $P_2=P_1$
Show Answer
Answer:
Correct Answer: 3. (b)
Solution:
- (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} $
