1. Tardigrade
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  3. Chemistry
  4. If the value of Avogadro number is 6.023 × 1023 mol -1 and the value of Boltzmann constant is 1.380 × 10-23 JK -1, then the number of significant digits in the calculated value of the universal gas constant is

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Q. If the value of Avogadro number is $6.023 \times 10^{23}\, mol ^{-1}$ and the value of Boltzmann constant is $1.380 \times 10^{-23} \,JK ^{-1}$, then the number of significant digits in the calculated value of the universal gas constant is

JEE AdvancedJEE Advanced 2014States of Matter

Solution:

$k =\frac{ R }{ N _{ A }}$
$R = kN _{ A }$
$=1.380 \times 10^{-23} \times 6.023 \times 10^{23}$
$=8.31174$
$\approx 8.312$