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QUESTION

# What is the average kinetic energy of the molecules in a gas at 273K?

The average kinetic energy of the molecules is 5.66 × 10⁻²¹ J.

According to Kinetic Molecular Theory, the average kinetic energy of gas molecules is a function only of temperature.

The formula is

KE = 3/2kT

where T is the Kelvin temperature and k is Boltzmann's constant.

KE = 3/2 × 1.381 × 10⁻²³ "J·K⁻¹" × 273"K" = 5.66 × 10⁻²¹ J

For a mole of molecules, the average kinetic energy is

(5.66 × 10⁻²¹"J")/(1"molecule") × (6.022 × 10²³"molecules")/(1"mol") = 3.41 ×10³ J/mol = 3.41 kJ/mol