# An ideal gas sample is confined to 3.0 L and kept at 27°C. If the temperature is raised to 77°C and the initial pressure was 1500 mmHg, what is the final pressure?

Jun 8, 2016

$P = 1750 \setminus m m H g$

#### Explanation:

Use the combined gas law equation:

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

The gas is confined in 3.0 L container ( rigid container) $\implies$ the volume remains constant when the temperature is increased from from ${27}^{o} C$ to ${77}^{o} C$ and therefore $\setminus {V}_{1} = {V}_{2}$.

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

$\frac{{P}_{2}}{T} _ 2 = {P}_{1} / {T}_{1}$

${P}_{2} = {P}_{1} \times {T}_{2} / {T}_{1}$

${P}_{2} = 1500 \setminus m m H g \times \frac{350 \setminus K}{300 \setminus K}$

${P}_{2} = 1750 \setminus m m H g$