If the value of Avogadro number is 6.023 × 10 23 m o l – 1 and the value of Boltzmann constant is 1.380 × 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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ChemistryIdeal GasIdeal Gas Equation & problemsEasy2 minPYQ_2014

ChemistryEasynumerical

If the value of Avogadro number is $6.023 \times 10^{23} m o l^{- 1}$ 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

Answer:

4.00

Solution:

$K = \frac{R}{N_{A}}$

$∴ R = {k.N}_{A}$

$= 6.023 \times 10^{23} \times 1.380 \times 10^{- 23} {J. mol}^{-1} k^{-1}$

There are 4 significant figures in each term.

Hence, these be 4 significant figure in R.

Stream:JEE_ADVSubject:ChemistryTopic:Ideal GasSubtopic:Ideal Gas Equation & problems

⏱ 2mℹ️ Source: PYQ_2014

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