The average kinetic energy of the methane CH₄ molecule at 273K and 585K is 565 x 10⁻²¹ J and 1.21 x 10⁻²⁰ J. respectively.
The average kinetic energy of a gas molecule is given by the formula,
K = 3/2K'T
Where,
K is the average kinetic energy,
K' is the Boltzmann constant,
T is the temperature.
So, putting values, to find the average kinetic energy of CH₄ molecule, first for 272K
K = 3/2 x 1.38 x 10⁻²³ x 273
K = 565 x 10⁻²¹ J
Now, for 585 K,
K = 3/2 x 1.38 x 10⁻²³ x 585
K = 1.21 x 10⁻²⁰ J.
So, these are average kinetic energies of the CH₄ molecule at 273K and 585K.
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