In a closed system, what happens to the pressure of a gas if its volume is halve

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Question: In a closed system, what happens to the pressure of a gas if its volume is halved at constant temperature?

Options:

Correct Answer: Pressure doubles

Solution:

According to Boyle\'s Law, if the volume is halved, the pressure will double (P1V1 = P2V2).

In a closed system, what happens to the pressure of a gas if its volume is halved at constant temperature?

In a closed system, what happens to the pressure of a gas if its volume is halved at constant temperature?

Step 1: Understand that we have a closed system with gas inside it.
Step 2: Know that Boyle's Law states that pressure and volume of a gas are inversely related when temperature is constant.
Step 3: Remember the formula from Boyle's Law: P1 * V1 = P2 * V2.
Step 4: Identify that if the volume (V) is halved, we can say V2 = V1 / 2.
Step 5: Substitute V2 into the formula: P1 * V1 = P2 * (V1 / 2).
Step 6: Simplify the equation: P1 * V1 = P2 * V1 / 2, which means P2 = 2 * P1.
Step 7: Conclude that if the volume is halved, the pressure will double.

Boyle's Law – Boyle's Law states that the pressure of a gas is inversely proportional to its volume when temperature is held constant.