A gas has a pressure of 2.82 atm and occupies a volume of 7 L. If the gas is compressed to a volume of 2.74 L, what will its pressure be, assuming constant temperature?

7.20 atm

Explanation:

Since the gas remains at constant temperature, we can solve this problem by using Boyle's Law, which states that:

"For a constant mass of an ideal gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume"

Mathematically:

where

p is the pressure of the gas

V is the volume

The equation can be also rewritten as:

where in this problem, we have:

is the initial pressure of the gas

is the initial volume of the gas

is the final volume of the gas

Solving for p2, we find the final pressure: