Assertion (A): The total translational kineti | vedclass

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(B) The total translational kinetic energy $(K)$ of an ideal gas is given by the formula $K = \frac{3}{2} nRT$.From the ideal gas equation,we know tha

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

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(B) The total translational kinetic energy $(K)$ of an ideal gas is given by the formula $K = \frac{3}{2} nRT$.From the ideal gas equation,we know that $PV = nRT$.Substituting this into the kinetic energy formula,we get $K = \frac{3}{2} PV = 1.5 PV$.Thus,the Assertion $(A)$ is true.The Reason $(R)$ states that gas molecules collide and their velocities change. This is a fundamental postulate of the Kinetic Theory of Gases,which is true.However,the collision of molecules is not the reason why the kinetic energy is related to $PV$ in this specific way; the relation $K = 1.5 PV$ is derived from the definition of temperature and the ideal gas law.Therefore,both Assertion and Reason are true,but the Reason is not the correct explanation of the Assertion.

Assertion $(A):$ 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 volume.
Reason $(R):$ The molecules of gas collide with each other and the velocities of the molecules change due to the collision.

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Assertion $(A):$ 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 volume.Reason $(R):$ The molecules of gas collide with each other and the velocities of the molecules change due to the collision.