Question

A gas volume $1000cc.$ is kept in a vessel at pressure ${10}^{4}atm$. If the pressure is increased to ${10}^5$ atm, keeping the temperature constant, then the volume of the gas is:

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

Answer 1

The correct option is B $100$ cc

Given:

$V_1=1000cc$

$P_1={10}^{4}atm$

$V_2=?$

$P_2={10}^{5}atm$

At constant temperature,

$P_1{V}_1=P_2{V}_2$

$\therefore V_2=\frac{P_1{V}_1}{P_2}=\frac{{10}^4\times 1000}{{10}^5}=100cc$

Hence, option B is correct.