Calculate the average translational kinetic energy (sometimes just called average kinetic energy)⦠for one mole of gas at 827 k. for a single gas molecule at 827 k.

The average translational kinetic energy of one molecule is .

The average translational kinetic energy of molecules is .

Further Explanation:

The translation kinetic energy is the average kinetic energy possessed by a molecule as it moves inside the gas sample.

The average translational kinetic energy of a molecule is given by:

Here, is the average kinetic energy, is the Boltzmann constant and T is the temperature of the gas sample.

The temperature of the gas is and the value of Boltzmann constant is .

Substitute the values in above expression.

Thus, the translational kinetic energy possessed by one molecule is .

Now, we know that the number of molecules of a substance present in is molecules.

So, we can calculate the average kinetic energy of one mole of gas molecules as the sum of energy of all the molecules.

Here, is the number of molecules in and is the average kinetic energy of all the molecules.

Substitute the values.

Thus, the average kinetic energy of of the gas is .

Learn More:

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Answer Details:

Grade: College

Subject: Physics

Chapter: Kinetic theory of gases

Keywords:

Kinetic energy, translational, average, 1 mole, 827 K, gas molecule, gas, single molecule, Boltzmann constant, temperature.

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