Question

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.

Answer 1

The remaining volume of gas is 28.939 L

Step-by-step 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