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  4. Universal gas constant (R) is divided by Avogadro's number (N) then the value is equivalent to:

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Q. Universal gas constant $(R)$ is divided by Avogadro's number $(N) $ then the value is equivalent to:

BHUBHU 2002

Solution:

Universal gas constant $(R)=8.31 \,J / mol \,K$
Avogadro's number $(N)=6.023 \times 10^{23} \,mol$
$\therefore \frac{R}{N}=\frac{8.31 J / mol K }{6.023 \times 10^{23} mol }$
$=1.38 \times 10^{-23} \,J / K$
$1.38 \times 10^{-23} \,J / K$ is the value of Boltzmann's constant.