At what temperature is the average velocity of carbon dioxide molecules = 400m / s.

univerkov | July 26, 2021 | education

Given: V (average velocity of the taken carbon dioxide molecules) = 400 m / s.

Constants: M (molar mass of carbon dioxide) = 0.044 kg / mol; R (universal gas constant) = 8.31 J / (mol * K).

To determine the temperature that the taken carbon dioxide should have, we use the formula: V ^ 2 = 3 * R * T / M and T = V ^ 2 * M / (3 * R).

Calculation: T = 400 ^ 2 * 0.044 / (3 * 8.31) = 282.39 K (9.39 ºС).

Answer: Carbon dioxide molecules will reach a speed of 400 m / s at a temperature of 9.39 ºС.

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