PHYSICS

JAMB 2022 - Question 38

Physics 2022 JAMB Past Questions - Question 38: The volume of a fixed mass of gas is 10cm³ when its pressure is 400cmHg. Determine the volume of the gas when its pressure is 200cmHg.

Choose the correct answers from the options given.
The volume of a fixed mass of gas is 10cm³ when its pressure is 400cmHg. Determine the volume of the gas when its pressure is 200cmHg.
A:
B:
C:
D:
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Correct Answer

D

Explanation

To solve this problem, we can use Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume, assuming the temperature remains constant.

Boyle's Law can be expressed as:

P1 * V1 = P2 * V2

Where:
P1 = initial pressure
V1 = initial volume
P2 = final pressure
V2 = final volume

We can plug in the given values:
P1 = 400 cmHg
V1 = 10 cm³
P2 = 200 cmHg
V2 = ?

Using the formula:
400 * 10 = 200 * V2

Solving for V2:
V2 = (400 * 10) / 200
V2 = 40 cm³

Therefore, the volume of the gas when its pressure is 200 cmHg is 40 cm³.