A sample of nitrogen gas at $2.00$ atm and $546 K$ occupies $100 m L$ . What volume would the sample of nitrogen occupy at $S T P ?$

109 m L

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137 m L

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50.0 m L

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20.0 m L

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Solution

The correct option is A $109 m L$
Given,
Pressure, $P_{1} = 2 a t m$
Temperature, $T_{1} = 546 K$
Volume , $V_{1} = 100 m L$

At STP condition,
$P_{2} = 1 a t m$
$T_{2} = 298 K$

For ideal gas equation,

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

$\Rightarrow \frac{2 \times 100}{546} = \frac{1 \times V_{2}}{298}$

$\Rightarrow V_{2} = 109 m L$

$∴$ The volume of the sample of nitrogen occupy at STP is $109 m L$ .

Thus, the correct option is (A).

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