# A sample of nitrogen gas was transferred to a 100 mL container at 100 kPa and 75.0 C. What was the original temperature of the gas if it occupied 125 mL and exerted a pressure of 125 kPa?

##### 1 Answer
Jul 23, 2018

Well, what does the $\text{combined gas equation}$ hold....?

#### Explanation:

...that $\frac{{P}_{1} {V}_{1}}{T} _ 1 = \frac{{P}_{2} {V}_{2}}{T} _ 2$

...and this insists units of $\text{absolute temperature...}$

We solve for ${T}_{1} \equiv \frac{{P}_{1} {V}_{1}}{{P}_{2} {V}_{2}} \times {T}_{2}$

$= \frac{125 \cdot k P a \times 125 \cdot m L}{100 \cdot k P a \times 100 \cdot m L} \times 348.15 \cdot K \equiv 544.0 \cdot K$