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Can you explain the answer of this question below:
According to the Boyle’s law, at a constant temperature, pressure of a definite mass of gas is inversely proportional to the volume. If the pressure is reduced by 20%, find the respective change in volume.
  • A:
    -33.33%
  • B:
    +25%
  • C:
    -25%
  • D:
    +33.33%
The answer is b.
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Boyle's law states that at a constant temperature, the pressure of a definite mass of gas is inversely proportional to the volume. This means that if the pressure of a gas is reduced, the volume of the gas will increase proportionally.

To solve this problem, we need to use the formula for Boyle's law which is:

P1V1 = P2V2

Where P1 is the initial pressure, V1 is the initial volume, P2 is the new pressure, and V2 is the new volume.

We are given that the pressure is reduced by 20%. This means that the new pressure (P2) is 80% of the initial pressure (P1).

P2 = 0.8P1

Using the formula for Boyle's law, we can solve for the new volume (V2):

P1V1 = P2V2
V2 = (P1V1)/P2

Substituting the values we have:

V2 = (P1V1)/(0.8P1)
V2 = V1/0.8
V2 = 1.25V1

Therefore, the new volume (V2) is 25% greater than the initial volume (V1).

The correct answer is option B: 25%.
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