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The most probable speed of the molecules of a gas at temperature T is u. If the temperature is raised to 4T, the new most probable speed becomes:

Answer: 2u.

A 2u
B u/2
C 4u
D 16u

Correct answer: A. 2u

Explanation: Most probable speed varies as sqrt(T). Raising T to 4T multiplies the speed by sqrt(4) = 2, giving 2u.

Graph of pressure versus volume for a fixed amount of gas at constant temperature: the curve falls steeply then flattens, a hyperbola showing pressure inversely proportional to volume.

Boyle's law: at constant temperature the pressure of a fixed mass of gas is inversely proportional to its volume (P ∝ 1/V), so the P–V plot is a hyperbola — halving the volume doubles the pressure. Image: Reginaprice2013, CC BY-SA 3.0, via Wikimedia Commons.

Concept context

Discover why gases expand to fill any container while liquids flow and solids hold their shape. Master the gas laws, the ideal gas equation, and the reasons real gases deviate from ideal behavior.

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The most probable speed of the molecules of a gas at temperature T is u. If the temperature is raised to 4T, the new most probable speed becomes:

Concept context

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