# A sample of nitrogen collected in the laboratory occupies a volume of 725 ml, at standard pressure. What volume will the gas occupy at a pressure of 49.3 kPa, assuming the temperature remains constant?

Jun 13, 2018

Well it is always a problem to know what is standard pressure....

#### Explanation:

Here I assume it is $101.3 \cdot k P a \equiv 1 \cdot a t m$...

We use old Boyle's Law...$P V = k$...and so ${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$, given CONSTANT temperature, and a GIVEN quantity of gas.

And thus ${V}_{2} = \frac{{P}_{1} {V}_{1}}{P} _ 2 \equiv \frac{725 \cdot m L \times 101.3 \cdot k P a}{49.3 \cdot k P a}$

...so ${V}_{2} \cong 1.5 \cdot L$

...that is the volume has DOUBLED cos the pressure has HALVED...