Question

A certain mass of a gas occupies a volume of 600 $ml$ at a certain temperature and pressure. If pressure is decreased by 40% what will be the volume occupied by the same mass of the gas at the same temperature?

• A. 240 $ml$
• B. 1000 $ml$
• C. 300 $ml$
• D. 120 $ml$

Answer 1

The correct option is B 1000 $ml$

Initial volume $V_1=600ml$

Let initial pressure be $P_1=x$

Finial pressure $P_2=\frac{60x}{100}$

Finial volume $=V_2$

At constant temperature,

As per boyle's law $P_1{V}_1=P_2{V}_2\Rightarrow V_2=\frac{P_1{V}_1}{P_2}$

$V_2=\frac{x\times 600\times 100}{60x}$

$V_2=1000ml$

Hence, the correct answer is option $\text{B}$.