The temperature at which the root-mean-square velocity of nitrogen (N2) molecules is 500 m / s.
| September 6, 2021 | education
To find the required temperature of nitrogen molecules, we will use the formula: V = √ (3RT / MN), whence we express: T = MN * V ^ 2 / 3R.
Constant and variable values: MN – molar mass of nitrogen (MN = 0.028 kg / mol); V is the mean square velocity of molecules (V = 500 m / s); R – universal gas constant (R = 8.31 J / (mol * K)).
Calculation: T = MN * V ^ 2 / 3R = 0.028 * 500 ^ 2 / (3 * 8.31) = 280.8 K (7.8 ºС).
Answer: Nitrogen molecules are at a temperature of 280.8 K.
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