Assertion: The total translational kinetic en | vedclass

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(B) The total translational kinetic energy $(K)$ of an ideal gas is given by the formula: $K = \frac{3}{2} nRT$. Since the ideal gas equation is $PV =

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If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

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(B) The total translational kinetic energy $(K)$ of an ideal gas is given by the formula: $K = \frac{3}{2} nRT$. Since the ideal gas equation is $PV = nRT$,we can substitute $nRT$ with $PV$. Therefore,$K = \frac{3}{2} PV = 1.5 PV$. Thus,the Assertion is correct. The Reason states that gas molecules collide and their velocities change. This is a fundamental property of the kinetic theory of gases,but it does not explain why the kinetic energy is related to $PV$ in that specific ratio. Therefore,both statements are correct,but the Reason is not the correct explanation of the Assertion.

$Assertion$: The total translational kinetic energy of all the molecules of a given mass of an ideal gas is $1.5$ times the product of its pressure and its volume.
$Reason$: The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.

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$Assertion$: The total translational kinetic energy of all the molecules of a given mass of an ideal gas is $1.5$ times the product of its pressure and its volume. $Reason$: The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.