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multiple - choice question if you take a sample of gas and move it to a…

Question

multiple - choice question
if you take a sample of gas and move it to a larger container, should the pressure exerted by the gas increase, decrease, or stay the same?
stay the same
decrease
increase

Explanation:

Step1: Recall Boyle's Law

Boyle's Law states that for a given amount of gas at a constant temperature, \(P_1V_1 = P_2V_2\), where \(P\) is pressure and \(V\) is volume.

Step2: Analyze the volume change

When the gas is moved to a larger container, \(V_2>V_1\). Since \(P_1V_1 = P_2V_2\), then \(P_2=\frac{P_1V_1}{V_2}\). As \(V_2>V_1\), \(P_2 < P_1\).

Answer:

Decrease