Complete the following problems using Boyle's law. Please show ALL formulas, work, answer with significant digits and units. If 2000 L of hydrogen...

Complete the following problems using Boyle's law. Please show ALL formulas, work, answer with significant digits and units.

1. If 2000 L of hydrogen gas at a pressure of 90.0 kPa is compressed into a cylinder with a volume of 100 L while keeping the temperature constant, what pressure will the gas exert in the cylinder?

2. A gas is confined in a syringe. When the volume of the cylinder is 750 L the pressure is 150 kPa. What will the volume of the cylinder be when the pressure has risen to 250 kPa?

3. A 2.0 L party balloon at 98 kPa is taken to the top of a mountain where the pressure is 75 kPa. Assume that the temperature and chemical amount of the gas remain the same, determine the new volume of the balloon.