Question

A gas of volume $100$ $cc$ is kept in a vessel at a pressure of ${10}^4$ $Pa$ maintained at a temperature of ${24}^o\text{C}$. If the pressure is increased to ${10}^5$ $Pa$, keeping the temperature constant, then the volume (in $cc$) of gas will be:

• A. $1$
• B. $10$
• C. $100$
• D. $1000$

Answer 1

The correct option is B $10$

Since the temperature remains constant, Boyle's law can be applied.
This means that $P_1{V}_1=P_2{V}_2$
Here, $P_1={10}^4$ $Pa$
$V_1=100$ $cc$
$P_2={10}^5$ $Pa$
Substituting the values in the expression $P_1{V}_1=P_2{V}_2$, we get
$V_2$ $=10$ $cc$

Hence, the final volume of the gas is $10$ $cc$.