Question

If the pressure of a gas sample is doubled at constant temperature, what will be the final volume ?

• A. 4 times the original
• B. 2 times the original
• C. 1/2 of the original
• D. 1/4 of the original
• E. 1/8 of the original

Answer 1

Answer: (C)

1/2 of the original

For a fixed mass of gas, at a constant temperature, the product (pressure x volume) is a constant.

Pressure $\times$ Volume $=$ constant

$PV=$ constant

Means, $Pressure\alpha \frac{1}{Volume}$

On doubling the pressure the volume must be halved to that of the original volume.

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