A gas expands from volume V1 to V2 at constant temperature. If the initial press

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Question: A gas expands from volume V1 to V2 at constant temperature. If the initial pressure is P1, what is the final pressure P2? (2020)

Options:

Correct Answer: P1(V1/V2)

Exam Year: 2020

Solution:

According to Boyle\'s Law, P1V1 = P2V2, thus P2 = P1(V1/V2).

A gas expands from volume V1 to V2 at constant temperature. If the initial pressure is P1, what is the final pressure P2? (2020)

A gas expands from volume V1 to V2 at constant temperature. If the initial pressure is P1, what is the final pressure P2? (2020)

Step 1: Understand that we are dealing with a gas that expands from an initial volume (V1) to a final volume (V2) at a constant temperature.
Step 2: Recall Boyle's Law, which states that for a given amount of gas at constant temperature, the product of pressure and volume is constant. This means P1 * V1 = P2 * V2.
Step 3: Rearrange the equation to solve for the final pressure (P2). We can do this by dividing both sides of the equation by V2: P2 = (P1 * V1) / V2.
Step 4: Simplify the equation to express P2 in terms of P1, V1, and V2: P2 = P1 * (V1 / V2).
Step 5: Now you have the final pressure (P2) in terms of the initial pressure (P1) and the volumes (V1 and V2).

Boyle's Law – Boyle's Law states that for a given mass of gas at constant temperature, the product of pressure and volume is constant (P1V1 = P2V2).
Ideal Gas Behavior – The question tests understanding of how gases behave under constant temperature conditions, specifically relating to pressure and volume changes.