Question

АIf 1.000 mol of gas has a volume of 5.00and a pressure of 5.00 atm. What is itstemperature ?

Answer 1

This is a problem of ideal gas law, and its formula is the following:

`pV=\text{nRT}\begin{cases}p=\text{pressure (atm)} \\ V=\text{volume (L)} \\ n=\text{mol} \\ R=the\text{ gas constant=}0.082\frac{\text{atm}\cdot L}{K\cdot\text{mol}} \\ T=\text{temperature (K)}\end{cases}`

And we need to find the temperature, which is T. So, we have to clear T of the given formula and replace the values there:

`T=(pV)/(nR)=\frac{5.00\text{atm}\cdot5.00L}{1.000\text{ mol}\cdot0.082\frac{atm\cdot L}{\text{mol}\cdot K}}=304.878K\text{.}`

The temperature is 304.878 K.