Answer:
What is TRUE about the missing volume is option C.
C. The volume will decrease due to inverse relationship of V & P
Explanation:
The given parameters of the gas are;
The initial pressure of the gas, P₁ = 2 atm
The initial volume of the gas, V₁ = 1.5 L
The final pressure of the gas, P₂ = 2 atm
Boyle's law states that, at constant temperature, the volume, 'V', of a given mass is inversely proportional to its pressure, 'P';
Mathematically, Boyle's law can be expressed as follows;
P ∝ 1/V
From which we have;
P·V = Constant
∴ P₁·V₁ = P₂·V₂
For the given gas, we get;
2 atm × 1.5 L = 6 atm × V₂
∴ V₂ = 2 atm × 1.5 L/(6 atm) = 0.5 L
Therefore, the volume decreases from 1.5 L to 0.5 L.
