Explain why hydrogen and helium atoms have the necessary speed to escape but why

Question

Explain why hydrogen and helium atoms have the necessary speed to escape but why other elements, such as oxygen and nitrogen, do not. Drag the terms on the left to the appropriate blanks on the right to complete the sentences. inverse faster square slower direct squareroot This is because hydrogen and helium, being lighter, move The root-mean-square speed of a particle is in proportion with the of the temperature and in proportion with the of its mass. Hence the lighter particles can escape the earth's gravity while Havier cannot.

Explanation / Answer

vrms = sqrt(3*R*T/M)

R is the universal gas constant

T is the temperature of the gas in KElvin

M is the molar mass of the gas

Vrms is proportional to the square root of temeprature and inversely proportional to the square root of molar mass

This because hydrogen and helium ,being lighter move faster

the root mean square speed of a particle is in direct proportion with the square root of the temperature and in inverse proportion with the square root of its mass.Hence the lighter particles can escape the earth's gravity while heavier can not

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