The kinetic energy of any gas is:

Inversely proportional to the square root of temperature

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Inversely proportional to absolute temperature

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Directly proportional to absolute temperature

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Directly proportional to square root of temperature

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Solution

The correct option is C
Directly proportional to absolute temperature

At a particular instance, the different molecules in a sample have different speeds and hence, different kinetic energies. However, the average kinetic energy of the molecules is assumed to be directly proportional to absolute temperature.

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Similar questions

Q. Show that R.M.S. velocity of a gas molecules is directly proportional to square root of absolute temperature.

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R . M . S

velocity of gas molecules is directly proportional to square root of its absolute temperature.

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Q. The kinetic energy of a molecule of a gas is directly proportional to the absolute temperature of the gas.

According to pressure equation, PV=1/3 M Vrms².

=>nRT=1/3 M Vrms²

=> T directly proportional to M Vrms²

According to mean Kinetic energy,

KE(avg)=1/2 M Vrms²

=> KE(avg) directly proportional to M Vrms²

This means.. M Vrms² directly proportional to KE(avg) T

=> M Vrms² /T = KE(avg) × proportionality constant

So this means the avg Kinetic energy is inversely proportional to Absolute Temperature. But actually KE(avg) is directly proportional to T. Please clear my doubt

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