Assertion :Volume : temperature ratio is constant for a fixed amount of gas at constant pressure. Reason: At constant pressure the volume of a given mass of a gas increases or decreases by $1 / 273$ of its volume at $0^{o} C$ .

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 A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
$P V = n R T$
where,
$T =$ absolute temperature

So at constant pressure for a fixed amount of gas, $\frac{V}{T} = c o n s t a n t$

$T_{1} = 0^{o} C = 273 K$

$\frac{V_{2}}{T_{2}} = \frac{V_{1}}{T_{1}} ⟹ \frac{V_{2}}{V_{1}} = \frac{T_{2}}{T_{1}}$

Both assertion and reason are correct.

Now, $\frac{V}{T} = c o n s t a n t$ , $V \propto T$ (T is in Kelvin)

The reason is the correct explanation for an assertion.

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Assertion :Volume : temperature ratio is constant for a fixed amount of gas at constant pressure. Reason: At constant pressure the volume of a given mass of a gas increases or decreases by 1/273 of its volume at 0oC.

Assertion :Volume : temperature ratio is constant for a fixed amount of gas at constant pressure. Reason: At constant pressure the volume of a given mass of a gas increases or decreases by $1 / 273$ of its volume at $0^{o} C$ .