silver has a density of 105gcm-3 the no of

Question

Silver has a density of 10.5gcm^-3 . The no. of silver atoms on a surface area of 10-12m² can be expressed in scientific notation aas y x 10x.The value of x is ..?

Ans) d = mass/V
⇒ 10.5 g/cc means in 1 cc ⇒ 10.5 g of Ag is present.
Number of atoms of Ag in 1 cc ⇒ A
10.5 N
108 ×
In 1 cm , number of atoms of Ag 3
A
10.5 N
108
=
In 1 cm2, number of atoms of Ag
2 /3
A
10.5 N
108
In 10-12m² or 10-8 cm², number of atoms of Ag
2 / 3 24 2 / 3
8 8
A
10.5 N 10 1.05 6.022 10 10
108 108
= 1.5 × 107
Hence x = 7