Answer: The correct answer is Option B.
Explanation:
The relationship of Gas constant (R) and Boltzmann constant (k) is given as:
[tex]k=\frac{R}{N_A}[/tex] ......(1)
We also know that:
Number of particles in a given number of moles is equal to the number of moles multiplied by Avogadro's number.
Mathematically,
[tex]N=n\times N_A[/tex]
where,
N = number of particles
n = number of moles
[tex]N_A[/tex] = Avogadro's number
Putting the value of Avogadro's number in equation 1, we get:
[tex]k=\frac{Rn}{N}[/tex]
Rearranging the equation, we get:
[tex]R=\frac{Nk}{n}[/tex]
Hence, the correct answer is Option B.
