Question

What is the new volume of 513 mL of gas when the pressure changes from 753 torr to 982 torr? It is not necessary to convert torr to atm and assume a constant temperature.

Answer 1

393 mL

Step-by-step explanation:

Recall the ideal gas law:

`\displaystyle PV = nRT`

Because only pressure and volume are changing and everything else remains constant, we have that:

`\displaystyle P_1V_1 = k = P_2V_2`

Where k is some constant.

Hence, substitute and solve:

`\displaystyle \displaystyle \begin{aligned} (753\text{ torr})(513\text{ mL}) & = (982\text{ torr})V_2 \\ \\ V_2 & = 393\text{ mL} \end{aligned}`

Hence, the new volume is 393 mL.

Check: because volume decreases with an increase in pressure, our answer fits within the context of the problem.