Silver crystallizes in fcc lattic. If the edge length of the cell is `4.07 xx 10^(-8) cm` and density is `10.5 g cm^(-3)`. Calculate the atomic mass of silver.

Options

A. 144 g/mol
B. 125 g/mol
C. 106.6 g/mol
D. 213 g/mol

Answer

C

Explanation

d =`(Z xx M)/(a^3 xx N_A)`
M =`(d xx N_A xx a^3)/Z`
= `(10.5 xx 6.022 xx 10^(23) xx (4.07 xx 10^(-8))^3 gcm^(-3))/4`
= `106.6 gmol^(-1)`