# A sample of neon is collected at 2.7 atm and 12.0 degrees C. It has a volume of 2.25 L. What would be the volume of this gas at STP?

##### 1 Answer
Sep 23, 2016

$\text{Standard temperature and pressure}$ specifies $1 \cdot a t m$ pressure, and a temperature of $273.15 \cdot K$

#### Explanation:

The combined gas law holds that $\frac{{P}_{1} {V}_{1}}{T} _ 1 = \frac{{P}_{2} {V}_{2}}{T} _ 2$.

And thus ${V}_{2} = \frac{{P}_{1} \times {V}_{1} \times {T}_{2}}{{T}_{1} \times {P}_{2}}$

$=$ $\frac{2.7 \cdot a t m \times 2.25 \cdot L \times 273.15 \cdot K}{285.15 \cdot K \times 1 \cdot a t m}$

$\cong$ $6 \cdot L$

This volume increase is reasonable as we have only marginally changed temperature, but have reduced pressure by a third.