The volume of an ideal gas is inversely proportional to the pressure applied to the gas at a constant temperature. A gas has a volume of

239 liters at a pressure of 2.00 atmospheres (atm). What pressure is

applied to this gas if the volume is .500 liters?

Final pressure is 0.956 atm

Explanation:

Based on Boyle's law, "The volume of an ideal gas is inversely proportional to the pressure when temperature is constant". The equation is:

P₁V₁ = P₂V₂

Where 1 represents initial state and 2 final state of the gas.

If a gas has 239L and 2.00 atm as initial state. If the final volume is 500L:

239Lₓ2.00atm =  P₂500L

239Lₓ2.00atm / 500L =  P₂

0.956atm =  P₂

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