At what temperature is the average velocity of a hydrogen molecule equal to 1760 m / s.

univerkov | June 10, 2021 | education

Initial data: V (average velocity of a hydrogen molecule) = 1760 m / s.

Constants: M (molar mass of hydrogen) = 0.002 kg / mol; R (universal gas constant) = 8.31 J / (mol * K).

To determine the temperature at which a hydrogen molecule will reach a speed of 1760 m / s, we use the formula: V ^ 2 = 3 * R * T / M, whence T = V ^ 2 * M / (3 * R).

Let’s make a calculation: T = 1760 ^ 2 * 0.002 / (3 * 8.31) = 248.5 K (-24.5 ºС).

Answer: The hydrogen molecule should be at a temperature of -24.5 ºС.

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