The volume of the gas cylinder is 25.7 liters and exerts a pressure of 670 mmhg. if part of the gas is used, the pressure drops to 595 mmhg. what would be the remaining volume of gas? show the work.

The remaining volume of gas is 28.939 L

Explanation:

Boyle's law:

assuming the constant temperature, the pressure of a gas varies inversely with the volume.

⇒ V1 * P1 = V2 * P2

∴ V1 = 25.7 L

∴ P1 = 670 mm Hg

∴ P2 = 595 mm Hg

∴ V2 : remaining volume of gas

⇒ V2 = ( V1 * P1 ) / P2

⇒ V2 = (  25.7 L * 670 mm Hg ) /  595 mm Hg

⇒ V2 = 28.939 L

the reaction mixture contains some ammonia, plus a lot of unreacted nitrogen and hydrogen. the mixture is cooled and compressed, causing the ammonia gas to condense into a liquid. the liquefied ammonia is separated and removed. the unreacted nitrogen and hydrogen are then recycled back into the reactor .