# A sample of a gas occupies 1.40 * 10^3 mL at 25°C and 760 mmHg. What volume will it occupy at the same temperature and 380 mmHg?

Dec 31, 2015

$V = 2.8 L$

#### Explanation:

On its initial state, the gas
- occupies $1.4 L$
- is on a system of $298.15 k$, and
- $1 a t m$

And on its second state,
- $x L$
- $298.15 K$
- $\frac{380}{760} a t m$

$\frac{{P}_{0} {V}_{0}}{T} _ 0 = \frac{P V}{T}$,

Solve for V.

$V = 2.8 L$

The answer is obtainable through Boyle's Law - when temperature is held constant, there exists an inverse correlation factor between the state functions of pressure and volume.