# If 50 mL of oxygen gas is compressed from 20 atm of pressure to 40 atm of pressure, what is the new volume at constant temperature?

May 16, 2017

$25 \cdot m L \ldots \ldots \ldots$

#### Explanation:

$\text{Boyle's Law}$ holds that the product $P V = k$ at constant $T$.

Since the temperature is constant here, we solve for $k$, and gets..........

${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$; so ${V}_{2} = \frac{{P}_{1} {V}_{1}}{{P}_{2}} = \frac{20 \cdot a t m \times 50 \cdot m L}{40 \cdot a t m}$

$= 25 \cdot m L$ as required.............