# The pressure in a container is 765.8 mmHg and the temperature is 36.4 degrees C and the volume needs a total of 25.4 cc (cm^3). The temperature rises to 63.0 deg C and the pressure changes to 9.01 atm.Convert pressure to mmHg and determine the new volume?

##### 1 Answer
Aug 8, 2018

Well one atmosphere will support a column of mercury that is $760 \cdot m m$ high...

#### Explanation:

...i.e. $1 \cdot a t m \equiv 760 \cdot m m \cdot H g$. I strongly disapprove of a problem that quotes a pressure GREATER than $760 \cdot m m \cdot H g$ but I will let this pass. I will quote the FINAL pressure in atmospheres. Should your teacher quote the FINAL pressure in $m m \cdot H g$ then CLEARLY he or she has never used a mercury manometer...

We use the combined gas equation...

$\frac{{P}_{1} {V}_{1}}{T} _ 1 = \frac{{P}_{2} {V}_{2}}{T} _ 2$...we use $\text{absolute temperature}$..

${V}_{2} = \frac{{P}_{1} {V}_{1}}{T} _ 1 \times {T}_{2} / {P}_{2} = \frac{\frac{765.8 \cdot m m \cdot H g \times 25.4 \cdot c {m}^{3} \times 336.15 \cdot K}{760 \cdot m m \cdot H g \cdot a t {m}^{-} 1}}{309.55 \cdot K \times 9.01 \cdot a t m}$

$= 1.05 \cdot c {m}^{3}$