Question

What is the relationship between the ideal gas constant R and the Boltzmann constant k? A) R=nK/N (B) R=Nk/n (D) R=n/Nk (E) R= N/nk

Answer 1

Answer: The correct answer is Option B.

Step-by-step explanation:

The relationship of Gas constant (R) and Boltzmann constant (k) is given as:

`k=(R)/(N_A)` ......(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,

`N=n* N_A`

where,

N = number of particles

n = number of moles

`N_A` = Avogadro's number

Putting the value of Avogadro's number in equation 1, we get:

`k=(Rn)/(N)`

Rearranging the equation, we get:

`R=(Nk)/(n)`

Hence, the correct answer is Option B.