If the value of Avogadro number is $6.023 imes 10^{23} \mathrm{~mol}^{-1}$ and the value of Boltzm

Question

If the value of Avogadro number is $6.023 	imes 10^{23} \mathrm{~mol}^{-1}$ and the value of Boltzmann constant is $1.380 	imes 10^{-23} \mathrm{~J} \mathrm{~K}^{-1}$, then the number of significant digits in the calculated value of the universal gas constant is

Professor PC Thomas Classes · Answer

(4) : Boltzmann constant, $k=\frac{R}{N_{A}}$\ or, $\quad R=k 	imes N_{A}$ $$ =1.380 	imes 10^{-23} 	imes 6.023 	imes 10^{23} $$$$ =8.31174 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1} \Rightarrow 8.312 $$ Hence, no. of significant figure is 4 .\