Number of carbon atoms given by a young man to his bride to be, if the engagement ring contains 0.50 carat diamond (1 carat = 200 mg) is

Question

Number of carbon atoms given by a young man to his bride to be, if the engagement ring contains 0.50 carat diamond (1 carat = 200 mg) is (A) 9 × 10-31 (B) 5 × 1030 (C) 5.01 × 1021 (D) 5.01 × 1010

Tardigrade Admin · Accepted Answer

1 carat = 200 mg = 0.2 g 0.5 carat = 0.1 g 12 g of carbon = 6.023 × 1023 atoms, 0.1 g of carbon = (6.023 × 1023/12) × 0.1

Q. Number of carbon atoms given by a young man to his bride to be, if the engagement ring contains $0.50$ carat diamond ( $1$ carat $= 200 m g$ ) is

$9 \times 1 0^{- 31}$

$5 \times 1 0^{30}$

$5.01 \times 1 0^{21}$

$5.01 \times 1 0^{10}$

$1$ carat $= 200 m g = 0.2 g$
$0.5$ carat $= 0.1 g$
$12 g$ of carbon $= 6.023 \times 1 0^{23}$ atoms,
$0.1 g$ of carbon $= \frac{6.023 \times 1 0 ^{23}}{12} \times 0.1$

Q. Number of carbon atoms given by a young man to his bride to be, if the engagement ring contains 0.50 carat diamond (1 carat =200mg) is

9×10−31

5×1030

5.01×1021

5.01×1010