Question

The value of Boltzmann constant is:

(in $erg$ $K$ ${}^{-1}$ molecule${}^{-1}$)

• A. $1.38$ x ${10}^{-16}$
• B. $1.38$ x ${10}^{-23}$
• C. $8.314$ x ${10}^7$
• D. $6.023$ x ${10}^{-16}$

Answer 1

The correct option is A $1.38$ x ${10}^{-16}$

Boltzmann Canstant (k)$=\frac{R}{N}$

R= Universal gas constant and N= Avagrado's .number,

$K=\frac{R}{N}=\frac{8.31}{6.023\times {10}^{23}}$

$K=1.380\times {10}^{-23}J/K$

We know, $1J={10}^{7}ergs$

$\therefore K=1.380\times {10}^{-16}ergs/K$
Option A is correct.