# A sample of gas has a volume of 25 L at a pressure of 200 kPa and a temperature of 25°C. What would be the volume if the pressure were increased to 250 kPa and the temperature were decreased to 0°C?

##### 1 Answer
Nov 22, 2015

$18.32 \text{L}$

#### Explanation:

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

You need to convert degC to Kelvin by adding 273:

$\therefore \frac{200 \times 25}{298} = \frac{250 \times {V}_{2}}{273}$

$\therefore {V}_{2} = \frac{200 \times 25 \times 273}{298 \times 250}$

$\therefore {V}_{2} = 18.32 \text{L}$