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 $K = \frac{3}{2} n R T$.From the ideal gas equation,we know t

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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 $K = \frac{3}{2} n R T$.From the ideal gas equation,we know that $PV = n R T$.Substituting $PV$ for $n R T$ in the kinetic energy formula,we get $K = \frac{3}{2} PV = 1.5 PV$.Thus,the Assertion is correct.The Reason states that molecules collide and their velocities change,which is a fundamental postulate of the Kinetic Theory of Gases.However,the collision of molecules is not the reason why the kinetic energy is equal to $1.5 PV$; that relationship is derived from the definition of temperature and the ideal gas law.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.