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 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

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