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how to calculate the average kinetic energy of a gas. Each molecule has this average kinetic energy. The average kinetic energy K is equal to one half of the mass m of each gas molecule times the RMS speed v rms squared.
We know that PVnRT 9 Thus equating equation 8 and 9 we get-nRTfrac13Nmv2 Multiplying and Dividing by 2 we get-nRTfrac23Nleft frac12mv2 right 10 Rearranging equation 10 we get-. This leads to the expression where N is the number of molecules n the number of moles R the gas constant and k the Boltzmann constant. K 32 R N T Where K is the average kinetic energy Joules R is the gas constant 8314 Jmol K.
K average kinetic energy per molecule of gas J kB Boltzmanns constant.
K average kinetic energy per molecule of gas J. What is the Average Kinetic Energy of a Gas Molecule. The kinetic energy of the translational motion of an ideal gas depends on its temperature. The more familiar form expresses the average molecular kinetic energy.