Given below are two statements. One is labelled as Assertion (A) and the other is labelled as reason (R).
(A): For an ideal gas, at constant temperature, the product of the pressure and volume is a constant.
(R) : The mean square velocity of the molecules is inversely proportional to molar mass.

In the light of the given statements, choose the correct answer from the options given.

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(A) is true but (R) is false

Both (A) and (R) are true but (R) is not the correct explanation of (A)

Both (A) and (R) are true and (R) is the correct explanation of (A)

Both (A) and (R) are false

answer is B.

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Detailed Solution

Boyle's law states that, for an ideal gas at constant temperature, pressure is inversely proportional to volume. Boyle's law is defined at constant temperatures. Therefore, at a constant temperature, the product of pressure and volume remains constant.

The rms velocities of gas molecules is inversly proportional to square root of mass of gas.

$v = \sqrt{\frac{3 PV}{mass of gas}}$

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