Tetracycline is an antibiotic used to treat infections that cause cholera, malaria, and syphilis, among others....

Tetracycline is an antibiotic used to treat infections that cause cholera, malaria, and syphilis, among others. The formula is C22H24N2O8 (MM = 444.435 g/mol). Calculate how many ug of nitrogen is present in 30.45 g of tetracycline?

Expert Solution

Solution

mass of tetracycline = 30.45 g

molar mass of tetracycline = 444.435 g/mol

No. of mole of tetracycline = mass / molar mass = (30.45 g)/(444.435 g/mol) = 0.06851 mol

The molecular formula of tetracycline is C₂₂H₂₄N₂O₈

From the molecular formula of tetracycline, it is clear that 1 mol of tetracycline contains 2 mol of Nitrogen.

Thus, no. of mol of Nitrogen in tetracycline = 2 x 0.06851 mol = 0.1370 mol

The molar mass of Nitrogen = 14.00 g/mol

Total mass of nitrogen = No. of mol of nitrogen x molar mass of nitrogen

= (0.1370 mol) x (14.00 g/mol)

= 1.9184 g

convert g to ug (microgram)

since 1 g = 10⁶ ug

therefore, 1.9184 g = 1.9184 x 10⁶ ug

Total mass of nitrogen in ug = 1.9184 x 10⁶ ug (Ans)

queen_honey_blossom answered 2 years ago

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