if the planet in question is the earth, at what temperature does the average translational kinetic energy of a nitrogen molecule (molar mass 28.0 g/mol ) equal that required to escape? use the radius of the earth is rp

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06-12-2022
Chemistry

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if the planet in question is the earth, at what temperature does the average translational kinetic energy of a nitrogen molecule (molar mass 28.0 g/mol ) equal that required to escape? use the radius of the earth is rp

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jaspreetsharma jaspreetsharma · Answer 1 · 2022-12-09T09:43:27+01:00

If a planet is the earth, a nitrogen molecule's average translational kinetic energy, equivalent to the energy needed to escape, is 1.402*105K.

Nitrogen gas makes up about 80% of the Earth's atmosphere. An perfect gas's molecules have an average translational kinetic energy of 641. 7 × 10 − 23 J. the average translational kinetic energy of a molecule at 1000 K, where the vapours act optimally. Due to atomic nitrogen molecule's have high level of reactivity, elemental nitrogen typically exists as the molecular N 2, dinitrogen. Nitrogen is the seventh element on the periodic table between carbon and oxygen. It plays a significant role in amino acids. Nitrogen gas makes up about 80% of the Earth's atmosphere.

Conversions of kinetic energy

3/2*K*T = 1/2*m*V^2

T = 2*Mg*Rp/3NaK

T = 2*28*10^-3*9.8*6371*1000/3*8.31

T = 1.402*10^5k

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