Question

Which of the following methods will enable the volume of an ideal gas to be made four times greater? (Consider absolute temperature)

• A. Quarter the pressure at constant temperature
• B. Quarter the temperature at constant pressure
• C. Half the temperature, double the pressure
• D. Double the temperature, double the pressure

Answer 1

The correct option is A Quarter the pressure at constant temperature

According to Boyle's law,
For a given mass of an ideal gas at constant temperature,
$P\propto \frac{1}{V}$
$\Rightarrow PV=$ constant
$\Rightarrow P_1{V}_1=P_2{V}_2$
Now, if $P_2=\frac{P_1}{4}$
$\Rightarrow V_2=4V_1$