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Chapter 9: Problem 152

The compound \(3^{\prime}\) -azido- \(3^{\prime}\) -thymidine (AZT) is used in the treatment of AIDS. The molecular formula of \(\mathrm{AZT}\) is \(\mathrm{C}_{10} \mathrm{H}_{13} \mathrm{~N}_{5} \mathrm{O}_{4}\). What is the mass percent of each element in AZT?

Short Answer

Expert verified
The mass percent of each element in AZT is: Carbon: \(44.9\% \), Hydrogen: \(4.9\% \), Nitrogen: \(26.2\% \), and Oxygen: \(24.0\% \).

Step by step solution

01

Calculate the molar mass of AZT

To find the molar mass of AZT, we need to find the sum of the molar masses of all the elements in the molecule. Molar mass of Carbon (C) = 12.01 g/mol Molar mass of Hydrogen (H) = 1.01 g/mol Molar mass of Nitrogen (N) = 14.01 g/mol Molar mass of Oxygen (O) = 16.00 g/mol Molar mass of AZT = (10 * 12.01) + (13 * 1.01) + (5 * 14.01) + (4 * 16.00)
02

Determining the mass of each element in AZT

Mass of Carbon (C) = 10 * 12.01 g/mol = 120.1 g/mol Mass of Hydrogen (H) = 13 * 1.01 g/mol = 13.13 g/mol Mass of Nitrogen (N) = 5 * 14.01 g/mol = 70.05 g/mol Mass of Oxygen (O) = 4 * 16.00 g/mol = 64.00 g/mol Now, let's find the molar mass of AZT from the previous step: Molar mass of AZT = 120.1 + 13.13 + 70.05 + 64.00 = 267.28 g/mol
03

Calculate the mass percent of each element

Mass percent of Carbon (C) = (Mass of C / Molar mass of AZT) * 100 = (120.1 / 267.28) * 100 = 44.9 % Mass percent of Hydrogen (H) = (Mass of H / Molar mass of AZT) * 100 = (13.13 / 267.28) * 100 = 4.9 % Mass percent of Nitrogen (N) = (Mass of N / Molar mass of AZT) * 100 = (70.05 / 267.28) * 100 = 26.2 % Mass percent of Oxygen (O) = (Mass of O / Molar mass of AZT) * 100 = (64.00 / 267.28) * 100 = 24.0 % Now we have the mass percent of each element in AZT: Carbon: 44.9 % Hydrogen: 4.9 % Nitrogen: 26.2 % Oxygen: 24.0 %

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