Calculate the average translational kinetic energy (sometimes just called average kinetic energy)...for one mole of gas at 381 K.

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To calculate the average translational kinetic energy for one mole of gas at a given temperature, you can use the equation:

Average kinetic energy = (3/2) * (R) * (T)

where:
- Average kinetic energy is the average value of translational kinetic energy (in joules)
- R is the gas constant, which is approximately equal to 8.314 J/(mol·K)
- T is the temperature in Kelvin (K)

In this case, the given temperature is 381 K. Therefore, you can substitute the values into the equation:

Average kinetic energy = (3/2) * (8.314 J/(mol·K)) * (381 K)

Let's now calculate the average kinetic energy:

Average kinetic energy = (3/2) * (8.314) * (381)
≈ 3756.1 J/mol

So, the average translational kinetic energy for one mole of gas at 381 K is approximately 3756.1 J/mol.