A sample of nitrogen gas has a volume of 15mL at a pressure of 0.50 atm. What is the pressure if the volume is changed to 30.0mL?

Question

12578 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-12T02:57:04

That sample of gas has a new pressure of $0.25 a t m$ $0.25 atm$

The answer can be determined by using Boyle's Law:
![slideplayer.com]( useruploads.socratic.org )

Let's identify our known and unknown variables.

$Knowns:$ $color(brown)("Knowns:"$
$P_{1}$ $P_1$ = 0.50 atm
$V_{1}$ $V_1$ = 15 mL
$V_{2}$ $V_2$ = 30.0 mL

$Unknowns:$ $color(blue)("Unknowns:"$
$P_{2}$ $P_2$

Rearrange the equation to solve for the final pressure by dividing both sides by $V_{2}$ $V_2$ to get $P_{2}$ $P_2$ by itself like this:

$P_{2} = \frac{P_{1} \times V_{1}}{V_{2}}$ $P_2=(P_1xxV_1)/V_2$

Plug in your given values to obtain the final pressure:

$P_2=(0.50\atm xx 15\ cancel"mL")/(30.0\cancel"mL")$ = $0.25 atm$