1. If 22.5 L of nitrogen at 734 mm Hg are compressed to 702 mm Hg at constant
temperature. What is the new volume?

The answer to your question is   V2 = 23.52 l

Explanation:

Data

Volume 1 = V1 = 22.5 l

Pressure 1 = P1 = 734 mmHg

Volume 2 = V2 = ?

Pressure 2 = 702 mmHg

Process

To solve this problem use Boyle's law.

                      P1V1 = P2V2

-Solve for V2

                          V2 = P1V1 / P2

-Substitution

                          V2 = (734 x 22.5) / 702

-Simplification

                           V2 = 16515 / 702

-Result

                           V2 = 23.52 l

-Conclusion

If we diminish the pressure, the volume will be higher.