Answer:
393 mL
Explanation:
Recall the ideal gas law:
[tex]\displaystyle PV = nRT[/tex]
Because only pressure and volume are changing and everything else remains constant, we have that:
[tex]\displaystyle P_1V_1 = k = P_2V_2[/tex]
Where k is some constant.
Hence, substitute and solve:
[tex]\displaystyle \displaystyle \begin{aligned} (753\text{ torr})(513\text{ mL}) & = (982\text{ torr})V_2 \\ \\ V_2 & = 393\text{ mL} \end{aligned}[/tex]
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.
