A certain sample of gas has a volume of 0.2 litre measured at 1 atm pressure and $^{\circ} C$ . At the same pressure but at $273^{\circ}$ C, its volume will be

Q. A certain sample of gas has a volume of

0.2

litre measured at

1

atm pressure and

0^{o} C

. At the same pressure but at

27 3^{o} C

, its volume will be:

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A certain sample of gas has a volume of 0.2 litres measured at 1 atm pressure and 0oC. At the same pressure but at 273oC, its volume will be:

The correct option is A 0.4 litreUsing combined gas law:P1V1T1=P2V2T21atm×0.2L273K=1atm×V2546KV2=1atm×0.2L×546K273K×1atm=0.4L

A certain sample of gas has a volume of 0.2 litres measured at 1 atm pressure and $0^{o} C$ . At the same pressure but at $273^{o} C$ , its volume will be:

The correct option is A 0.4 litre
Using combined gas law:
$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$

$\frac{1 a t m \times 0.2 L}{273 K} = \frac{1 a t m \times V_{2}}{546 K}$

$V_{2} = \frac{1 a t m \times 0.2 L \times 546 K}{273 K \times 1 a t m} = 0.4 L$