A gas occupies a volume of 1.5 liters at a pressure of 2 atmospheres. If the pressure is increased to 4 atmospheres while the temperature remains constant, what will be the new volume of the gas?

A. 6 liters

B. 1.5 liters

C. 0.75 liters

D. 3 liters

Correct Option: Answer is C

The correct answer is C. 0.75 liters.

This can be determined using Boyle’s Law, which states that for a fixed amount of gas at constant temperature, the product of its pressure and volume remains constant. Mathematically, this can be expressed as:

P₁V₁ = P₂V₂

where:

• P₁ is the initial pressure

• V₁ is the initial volume

• P₂ is the final pressure

• V₂ is the final volume

We can rearrange the equation to solve for V₂:

V₂ = (P₁V₁) / P₂

Plugging in the given values:

V₂ = (2 atm * 1.5 L) / 4 atm

V₂ = 0.75 L