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 $S T P ?$

Question

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Answer 1

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,

$\frac{P _{1} V _{1}}{T _{1}} = \frac{P _{2} V _{2}}{T _{2}}$

$\Rightarrow \frac{2 \times 1 0 0}{5 4 6} = \frac{1 \times V _{2}}{2 9 8}$

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

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

Thus, the correct option is (A).

Answer 2

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 1 0 0}{5 4 6} = \frac{1 \times V _{2}}{2 9 8}

\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).