Find the value of the universal gas constant | vedclass

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(B) The universal gas constant $R$ is given by the formula $R = \frac{PV}{nT}$.At $STP$ (Standard Temperature and Pressure),for $n = 1 \ mol$ of an id

Vedclass · Accepted Answer

$8.31$

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(B) The universal gas constant $R$ is given by the formula $R = \frac{PV}{nT}$.At $STP$ (Standard Temperature and Pressure),for $n = 1 \ mol$ of an ideal gas:$P = 1.013 	imes 10^5 \ Pa$ (or $1 \ atm$),$V = 22.4 	imes 10^{-3} \ m^3$,$T = 273.15 \ K$.Substituting these values:$R = \frac{(1.013 	imes 10^5 \ Pa) 	imes (22.4 	imes 10^{-3} \ m^3)}{1 \ mol 	imes 273.15 \ K} \approx 8.314 \ J \ mol^{-1} K^{-1}$.Thus,the value is approximately $8.31 \ J \ mol^{-1} K^{-1}$.

Find the value of the universal gas constant $R$ in $J \ mol^{-1} K^{-1}$.

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