Question

Chloromycetin is an antibiotic used for the treatment of typhoid and eye diseases. The molecular formula of chloromycetin is

C_{11} H_{12} N_{2} O_{5} {Cl}_{2}

.

0.2 g

of chloromycetin contains
a. how many atoms of nitrogen?
b. how many molecules of the compound?
c. how many moles of the compound?

Accepted Answer

Gram molecular mass of chloromycetin $(C_{11} H_{12} N_{2} O_{5} {Cl}_{2})$ = ( $11 \times 12 + 12 \times 1 + 2 \times 14 + 5 \times 16 + 2 \times 35.5$ ) = $323 g$

(a) Since, $323 g$ of Chloromycetin contains $2$ nitrogen atoms

Number of moles = $\frac{0.2}{323}$ = $6.2 \times 10^{- 4}$

Number of atoms in $1$ mole of chloromycetin = $6.022 \times 10^{23}$

Number of atoms of nitrogen in $6.2 \times 10^{- 4}$ moles of chloromycetin = $2 \times 6.2 \times 10^{- 4} \times 6.022 \times 10^{23} = 7.46 \times 10^{20}$

Therefore, $0.2 g$ of chloromycetin contains $7.46 \times 10^{20}$ atoms of nitrogen

(b) Number of moles of $0.2 g$ of chloromycetin = $\frac{Given mass}{Molar mass}$ = $\frac{0.2}{323}$ = $6.2 \times 10^{- 4}$

$1$ mole of chloromycetin contains $6.022 \times 10^{23}$ molecules.

Therefore, $6.2 \times 10^{- 4}$ moles of chloromycetin contains

= $6.022 \times 10^{23} \times 6.2 \times 10^{- 4}$ molecules.

= $37.3 \times 10^{- 19}$ molecules.

(c) Number of moles in $0.2 g$ of chloromycetin = $\frac{Given mass}{Molar mass}$

= $\frac{0.2}{323}$ = $6.2 \times 10^{- 4}$ moles.

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