1. Tardigrade
  2. Question
  3. Chemistry
  4. Metal M crystallizes into a FCC lattice with the edge length of 4.0 × 10-8 cm. The atomic mass of the metal is g / mol. (Nearest integer). (Use: N A =6.02 × 1023 mol -1, density of metal, .M =9.03 g cm -3)

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Metal $M$ crystallizes into a FCC lattice with the edge length of $4.0 \times 10^{-8}\, cm$. The atomic mass of the metal is ___ $g / mol$. (Nearest integer).
(Use : $N _{ A }=6.02 \times 10^{23} \,mol ^{-1}$, density of metal, $\left.M =9.03 \,g\, cm ^{-3}\right)$

JEE MainJEE Main 2022The Solid State

Solution:

$ a =4 \times 10^{-8} cm $
$ d =9.03 \,g / ml $
$ d =\frac{ ZM }{ N _{ A } a ^3}$
$ M =\frac{9.03 \times 6.02 \times 10^{23} \times 64 \times 10^{-24}}{4}=86.97$