Question

# The density of mercury is 13.6 g/ cm$^{3}$. Estimate the b value. Atomic mass of Hg=200.A.29.41 cm$^{3}$B.58.82 cm$^{3}$C.98.82 cm$^{3}$D.None of these

Firstly, if we see the molar mass of mercury is 200 g / mole, and the density is 13.6 g/ cm$^{3}$.
Now, we know density is directly proportional to the molar mass, or mass. It can be written as D= $\dfrac{M}{V}$.
Thus, we can say that 1 mole of mercury will occupy a volume of 14.75 cm$^{3}$/mol. We calculated this by$\dfrac{200}{13.6}$. It represents the $\dfrac{M}{D}$.
We get the value of 14.75 cm$^{3}$/mol, it is the molar volume of mercury.
Now, if we talk about the b value, it is 4 times the molar volume. Thus the obtained value of molar volume can be multiplied by 4 to achieve the estimated value of b, i.e. 4 $\times$ 14.75 cm$^{3}$/mol = 58.87 cm$^{3}$/mol (approximately).
Therefore, the value of b is 58.87 cm$^{3}$ /mol. The correct option is B.