🧪 Chemistry · States of Matter · NEET & JEE

At what temperature will O2 molecules have the same root-mean-square speed as H2 molecules possess at 300 K?

Answer: 4800 K.

A 600 K
B 2400 K
C 9600 K
D 4800 K

Correct answer: D. 4800 K

Explanation: Equal urms needs equal T/M. So T(O2) = 300 x (32/2) = 4800 K.

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.

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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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At what temperature will O<sub>2</sub> molecules have the same root-mean-square speed as H<sub>2</sub> molecules possess at 300 K?

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