# A 175 mL sample of neon had its pressure changed from 75 KPa to 150 KPa. What is its new volume?

May 9, 2017

The new volume of the neon is: ${V}_{2} = 87.5 m L$

#### Explanation:

Boyle's law states that pressure is inversely proportional to volume for a fixed quantity of an ideal gas at a constant temperature.

The mathematical formula is : ${V}_{2} = \frac{{P}_{1} {V}_{1}}{P 2}$

Here we have: P_1=75KPa; P_2=150KPa; V_1=175mL

Then: ${V}_{2} = \frac{75 K P a \cdot 175 m L}{150 K P a}$

${V}_{2} = \frac{\cancel{75 K P a} 1 \cdot 175 m L}{\cancel{150 K P a} 2}$

${V}_{2} = 87.5 m L$