# A mole of gas at O°C and 760mmHg occupies 22.41 L. What is the volume at 20°C and 760mmHg?

Jun 4, 2016

We use Charles' Law to give $V \cong 24 \cdot L$

#### Explanation:

At constant pressure $V \propto T$ or $V = k T$.

Thus (solving for $k$), ${V}_{1} / {T}_{1} = {V}_{2} / {T}_{2}$, and ${V}_{2} = {V}_{1} / {T}_{1} \times {T}_{2}$. Of course, $T$ must be in terms of absolute temperature.

${V}_{2}$ $=$ $\frac{22.41 \cdot L}{273.15 \cdot K} \times 293.15 \cdot K$ =??L

Is the slight increase in volume consistent with a temperature increase?