If a certain gas occupies a volume of 14 LL when the applied pressure is 7.0 atmatm, find the pressure when the gas occupies a volume of 3.5 LL. Express your answer to two significant figures and include the appropriate units.

The pressure when the gas occupies 3.5L is 28atm

Explanation:

Based on Boyle's law, the pressure of a gas is inversely proportional to its volume under constant temperature. That means if the pressure of a gas is increased, the volume decrease and vice versa. The formula is:

P₁V₁ = P₂V₂

Where P is pressure and V is volume of 1, initial state and 2, final states

In the problem, the initial state of the gas is 14L and 7.0atm and the final state occupies a volume of 3.5L.

Replacing in Boyle's law formula:

7.0atm*14L = P₂3.5L

28atm = P₂

The pressure when the gas occupies 3.5L is 28atm