Find out the numerical value of gas constant (R).

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Solution

Using the conditions at Standard Temperature and Pressure(STP),

$P = 1 a t m$
$T = 273 K$
$V = 22.4 L$
$n = 1$

Using the relation, $P V = n R T$

$\Rightarrow R = \frac{P V}{n T} = \frac{1 \times 22.4}{1 \times 273} = 0.082 L a t m m o l^{- 1} K^{- 1}$

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