If the value of Avogadro number is 6.023 time | vedclass

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(D) The universal gas constant $R$ is related to the Boltzmann constant $k$ and Avogadro number $N_A$ by the formula: $R = k 	imes N_A$.Given values

Vedclass · Accepted Answer

$4$

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(D) The universal gas constant $R$ is related to the Boltzmann constant $k$ and Avogadro number $N_A$ by the formula: $R = k 	imes N_A$.Given values are:$N_A = 6.023 	imes 10^{23} \ mol^{-1}$ (which has $4$ significant figures).$k = 1.380 	imes 10^{-23} \ J \ K^{-1}$ (which has $4$ significant figures).According to the rules of significant figures,when multiplying two numbers,the result should have the same number of significant figures as the number with the fewest significant figures.Since both values have $4$ significant figures,the calculated value of $R$ will also have $4$ significant figures.

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

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