Assertion -In equation P - 1-3 - vrms2- the term - represents density of gas- Reason- vrms - -3RT-M-

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Standard X

Physics

Ideal Gas Equation

Assertion :In...

Question

Assertion :In equation $P = \frac{1}{3} α v_{r m s}^{2}$ , the term $α$ represents density of gas. Reason: $v_{r m s} = \sqrt{\frac{3 R T}{M}}$ .

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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Both Assertion and Reason are incorrect

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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
From ideal gas law,

$P = \frac{n R T}{V} = \frac{n}{3} \frac{M}{V} v_{r m s}^{2}$

where, $v_{r m s} = \sqrt{\frac{3 R T}{M}}$
$⟹ P = \frac{1}{3} α v_{r m s}^{2}$

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Assertion :In equation P=13αv2rms, the term α represents density of gas. Reason: vrms=√3RTM.

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for AssertionFrom ideal gas law, P=nRTV=n3MVv2rmswhere, vrms=√3RTM⟹P=13αv2rms

Assertion :In equation $P = \frac{1}{3} α v_{r m s}^{2}$ , the term $α$ represents density of gas. Reason: $v_{r m s} = \sqrt{\frac{3 R T}{M}}$ .

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
From ideal gas law,

$P = \frac{n R T}{V} = \frac{n}{3} \frac{M}{V} v_{r m s}^{2}$

where, $v_{r m s} = \sqrt{\frac{3 R T}{M}}$
$⟹ P = \frac{1}{3} α v_{r m s}^{2}$