Question

If the pressure of a given mass of a gas is reduced to half and the temperature is doubled simultaneously, the volume will be:

• A. same as before
• B. twice as before
• C. four times as before
• D. one-fourth as before

Answer 1

The correct option is C four times as before

We know that $V=\frac{nRT}{P}$ .......(1)

According to question,

$P^{\prime }=\frac{P}{2}$

$T^{\prime }=2T$

$V^{\prime }=\frac{nR{T}^{\prime }}{P^{\prime }}$

$V=\frac{nR2T}{\frac{P}{2}}$

$V^{\prime }=\frac{4nRT}{P}$

$V^{\prime }=4V$