Question

37.5 mL of oxygen gas is collected at a pressure of 772 mm Hg. What is it’s volume at 716 mm Hg?

Answer 1

Answer:

The volume of the gas at 716 mmHg comes out to be 40.43 mL. This problem is solved by using below equation.

$\textrm{P}\textrm{V} = \textrm{P'}\textrm{V'}$  at constant temperature

Explanation:

Initial volume of gas = V = 37.5 mL

Initial pressure of gas = P = 772 mmHg

Final pressure of gas = P' = 716 mmHg

Assuming final volume of the gas to be V' mL.

$\textrm{P}\textrm{V} = \textrm{P'}\textrm{V'}$    at constant temperature

$\textrm{P}\textrm{V} = \textrm{P'}\textrm{V'} \\772 \textrm{ mmHg} \times 37.5 \textrm{ mL} = 716 \textrm{ mmHg} \times V' \\\textrm{V}' = 40.43 \textrm{ mL }$

Hence, volume of oxygen gas at 716 mmHg is 40.43 mL.