# Question #a68fa

Aug 9, 2017

$\frac{1}{4} V$

#### Explanation:

From General Gas Law Equation It's given by the formula

$\frac{{P}_{1} {V}_{1}}{T} _ 1 = \frac{{P}_{2} {V}_{2}}{T} _ 2$

In the given question it is said that the Pressure is reduced to half which is $\frac{1}{2}$

Also that the Temperature is doubled which is $2$

Hence we can easily get the following;

$\frac{P V}{T} = \frac{\frac{1}{2} \times V}{2}$

$\frac{1 \times V}{2 \times 2}$

$\frac{V}{4}$

$\therefore \frac{1}{4} V$