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If the value of Avogadro numberis 6.023x...

If the value of Avogadro numberis `6.023xx10^(23)mol^(-1)` and the vaueof Boltzmann constant is `1.380xx10^(-23)JK^(-1)`, then the number of significant digits in the calculated value of the universal gas constant is

Text Solution

Verified by Experts

The correct Answer is:
4
`"Boltzmann constant, k"=(R)/(N_(A))`
or `R=kxxN_(A)=(1.380xx10^(-23))xx(6.023xx10^(23))`
`=8.3114"J K"^(-1)"mol"^(-1)=8.312`
(upto three decimal places after rounding off)
Hence, no. of significant figures = 4.
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