A certain mass of a gas occupies a volume of 2 L at STP. At what temperature would gas occupy a volume of litre 4 ?( Keeping the pressure constant)

100 K

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273 K

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272 K

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546 K

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Solution

The correct option is C $546 K$
Given: Volume $= 2 L$
At STP, pressure, $P_{1} = 1 a t m$ and Temperature, $T_{1} = 273 K$
Final Volume, $V_{2} = 4 L$
To find: Final temperature, $T_{2}$

$P V = n R T$
At constant pressure, volume is directly proportional to temperature. We can write as:

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

$\frac{4}{2} = \frac{T_{2}}{273}$

$T_{2} = 273 \times 2 = 546 K$

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