# Question #6fc81

Jan 5, 2018

The new volume is $= 4.17 L$

#### Explanation:

Apply Boyle's Law

${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$ at constant temperature

The initial pressure is ${P}_{1} = 100 k P a$

The initial volume is ${V}_{1} = 9 L$

The final pressure is ${P}_{2} = 216 P a$

The final volume is

${V}_{2} = {P}_{1} / {P}_{2} \cdot {V}_{1} = \frac{100}{216} \cdot 9 = 4.17 L$