Assertion :At $27^{\circ} C$ , the kinetic energy of $8$ gram of methane is equal to the kinetic energy of $16$ gram of oxygen. Reason: The total heat change in a reaction is the same whether the chemical reaction takes place in one single step or in several steps.

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 B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
Assertion
At 27deg C, the kinetic energy of 8 gram of methane is equal to the kinetic energy of 16
gram of oxygen. 8 gram of methane (molar mass 16 g/mol) corresponds to $\frac{8 g}{16 g / m o l} = 0.5 m o l$ of methane. 16 gram of oxygen (molar mass 32 g/mol) corresponds to $\frac{16 g}{32 g / m o l} = 0.5 m o l$ of methane. Since, the number of moles of two gases are same and the temperature is also same, the kinetic energy is also same.
Note: The average kinetic energy of a gas molecule depends only on temperature. It is equal to $\frac{3}{2} k T$ .
Reason
The total heat change in a reaction is the same whether the chemical reaction takes place in one single step or in several steps. The heat change for the individual steps is added to obtain total heat change for the overall reaction.

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

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Assertion :At 27∘C, the kinetic energy of 8 gram of methane is equal to the kinetic energy of 16 gram of oxygen. Reason: The total heat change in a reaction is the same whether the chemical reaction takes place in one single step or in several steps.

Assertion :At $27^{\circ} C$ , the kinetic energy of $8$ gram of methane is equal to the kinetic energy of $16$ gram of oxygen. Reason: The total heat change in a reaction is the same whether the chemical reaction takes place in one single step or in several steps.