(A) : Average Kinetic energy of 16 grams of O₂ is same is as that of 32 grams of O₂ at constant temperature
(R) : Average kinetic energy of any gas depends only on absolute temperature but not on the amount of the gas

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(A) is true but (R) is false

Both (A) and (R) are correct and (R) is the correct explanation of (A)

Both (A) and (R) are false

Both (A) and (R) are correct but (R) is not the correct explanation of (A)

answer is A.

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Detailed Solution

The average kinetic energy of gas molecules is directly proportional to the absolute temperature of the gas, and is given by the formula KE = (3/2) kT, where KE is the average kinetic energy of the gas molecules, k is the Boltzmann constant, and T is the absolute temperature of the gas.
Therefore, if the temperature is constant, the average kinetic energy of the gas molecules will also be constant, regardless of the amount of gas present.
This means that the average kinetic energy of 16 grams of O₂ is the same as that of 32 grams of O₂ at constant temperature.
In summary, the average kinetic energy of gas molecules depends only on temperature, and not on the amount of gas present.

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