Question

A gas occupies 250 mL at 739 mmHg. For a gas at constant temperature, determine the volume of gas at 514 mmHg?

Answer 1

This problem is providing us with the initial volume and pressure of a gas, 250 mL and 739 mmHg, respectively, so the final volume it occupies, once the pressure is diminished to 514 mmHg, is required. After the calculations, the result turns out to be 359 mL.

Boyle's law:

In chemistry, gas laws allow us to comprehend the volume-pressure-temperature-mole behavior they exhibit. In such a way, since this is a problem about variable both pressure and volume, at constant temperature and number of moles, we talk about the Boyle's law as an inversely proportional relationship between pressure and volume:

$P_1V_1=P_2V_2$

Thus, we can solve for the final volume by dividing both sides by P2:

$V_2=\frac{P_1V_1}{P_2}\\ \\V_2=\frac{739mmHg*250mL}{514mmHg} \\\\V_2=359mL$

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