Question

Given the diagram to the right what is true about the missing volume?

Answer 1

What is TRUE about the missing volume is option C.

C. The volume will decrease due to inverse relationship of V & P

Step-by-step 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.

Answer 2

C

Step-by-step explanation:

Boyle's law states that "the volume of a given mass of gas is inversely proportional to its pressure at constant temperature."

Inverse proportionality means that as one quantity is increasing, the other quantity is decreasing and vice versa.

Hence, as the pressure was increased, the volume decreases accordingly in obedience to Boyle's law.