Question

What final pressure in mm Hg must be applied to a sample of gas having a volume of 190. mL at 750. mm Hg to permit the expansion of the gas to a volume of 600. mL?

Answer 1

`237.5\text{ mmHg}`

Step-by-step explanation:

Here, we want to calculate the final pressure

According to Boyles' law, the volume of a given mass of gas is inversely proportional to its pressure

Mathematically:

`P_1V_1\text{ = P}_2V_2`

where:

P1 is the initial pressure which is 750 mmHg

V1 is the initial volume which is 190 mL

P2 is the final pressure which is what we want to calculate

V2 is the final volume which is 600 mL

Substituting the values, we have it that:

`\begin{gathered} 750\text{ }*\text{ 190 = P}_2*600 \\ \\ P_2\text{ = }\frac{750*190}{600\text{ }}\text{ = 237.5 mmHg} \end{gathered}`