Calculate the average kinetic energy (J/molecule) for a molecule of an ideal gas at 382 K?
Total KE = (3/2)RT.
Divide that by Avogadro's number to obtain the average KE of a single molecule.
To calculate the average kinetic energy (KE) for a molecule of an ideal gas at a given temperature, you can use the following equation:
KE = (3/2)kT
Where:
- KE is the average kinetic energy
- T is the temperature in Kelvin
- k is the Boltzmann constant, which is approximately equal to 1.38 x 10^-23 J/K
Now, to calculate the average kinetic energy at 382 K, we substitute the values into the equation:
KE = (3/2)kT
= (3/2)(1.38 x 10^-23 J/K)(382 K)
≈ 8.29 x 10^-21 J/molecule
Therefore, the average kinetic energy for a molecule of an ideal gas at 382 K is approximately 8.29 x 10^-21 J/molecule.