A silicon chip used in an integrated circuit of computer has a mass of 5.68 mg. The number of Si atoms present in this chip are

Question

A silicon chip used in an integrated circuit of computer has a mass of 5.68 mg. The number of Si atoms present in this chip are (A) 144 × 1010 atoms (B) 18 × 1020 atoms (C) 21 × 1020 atoms (D) None of these

Tardigrade Admin · Accepted Answer

Molar mass of silicon =28 g =28000 mg ∵ 28000 mg of silicon contain 6.022 × 1023 atoms ∴ 5.68 mg of silicon contain (6.022 × 1023/28000) × 5.68 =0.00122 × 1023=1.22 × 1020 atoms

Q. A silicon chip used in an integrated circuit of computer has a mass of $5.68 m g$ . The number of $S i$ atoms present in this chip are

$144 \times 1 0^{10}$ atoms

$18 \times 1 0^{20}$ atoms

$21 \times 1 0^{20}$ atoms

None of these

Molar mass of silicon $= 28 g = 28000 m g$
$∵ 28000 m g$ of silicon contain $6.022 \times 1 0^{23}$ atoms
$∴ 5.68 m g$ of silicon contain $\frac{6.022 \times 1 0 ^{23}}{28000} \times 5.68$
$= 0.00122 \times 1 0^{23} = 1.22 \times 1 0^{20}$ atoms

Q. A silicon chip used in an integrated circuit of computer has a mass of 5.68mg. The number of Si atoms present in this chip are

144×1010 atoms

18×1020 atoms

21×1020 atoms