Assertion :At 300 $K$ , kinetic energy of 16 $g$ of methane is equal to the kinetic energy of 32 $g$ of oxygen. Reason: At constant temperature, kinetic energy of one mole of all gases is equal.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
$K E = \frac{3 n R T}{2}$

Number of moles of methane = Number of moles of oxygen gas.

Thus, at same temperature with equal no. of moles, two gases will have the same kinetic energies.

At constant temperature, from the above equation, the number of moles of gases being equal, the kinetic energy of gas will be equal.

Hence, the correct answer is option $A$ .

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Assertion :At 300 K, kinetic energy of 16 g of methane is equal to the kinetic energy of 32 g of oxygen. Reason: At constant temperature, kinetic energy of one mole of all gases is equal.

Assertion :At 300 $K$ , kinetic energy of 16 $g$ of methane is equal to the kinetic energy of 32 $g$ of oxygen. Reason: At constant temperature, kinetic energy of one mole of all gases is equal.