Question

If n represents number of mole, $n_0$ is number of molecules per unit volume, k is Boltzmann constant, R is molar constant, T is absolute temperature and $N_A$ is Avogadro's number, then which of the following relations is wrong?

• A. $P=n_{0}kT$
• B. $P=n_{0}RT$
• C. $P=\frac{nk{N}_{A}T}{V}$
• D. $n_0=N_A\times \frac{n}{V}$

Answer 1

The correct option is B $P=n_{0}RT$

Ideal gas equation:

$PV=nRT$

$P=\frac{nRT}{V}=\frac{n\times k\times N_A\times T}{V}=n_{0}kT$

As $R=N_a\times k$

$n_o=\frac{n\times N_A}{V}$