Question

The volume of a given mass of gas is 410. mL at 380. mm Hg. What will its volume in mL be ifthe pressure changes to 2.00 atm?

Answer 1

`102.5\text{ mL}`

Step-by-step explanation:

Here, we want to get the final volume of the gas

According to Boyles' law, the volume is inversely proportional to the pressure

Mathematically:

`P_1V_1\text{ = P}_2V_2`

where:

P1 is the initial pressure of the gas which is 410 ml

V1 is the initial volume of the gas which is 380 mmHg

P2 is the final pressure of the gas which is 2 atm (we convert this to mmHg by multiplying by 760 mmHg: we have that as 2 * 760 mmHg = 1520 mmHg)

V2 is the final volume of the gas which is what we want to calculate

Substituting the values:

`\begin{gathered} V_2\text{ = }(P_1V_1)/(P_2) \\ \\ V_2\text{ = }(410*380)/(1520)\text{ = 102.5 mL} \end{gathered}`