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Diazepam is the addictive tranquilizer also known as Valium \(^{\circledast}\). Its simplest formula is \(\mathrm{C}_{16} \mathrm{H}_{13} \mathrm{~N}_{2} \mathrm{OCl} .\) Calculate the mass percent of each element in this compound.

Short Answer

Expert verified
Answer: The mass percent of each element in Diazepam is as follows: C: 67.52 % H: 4.61 % N: 9.84 % O: 5.62 % Cl: 12.45 %

Step by step solution

01

1. Find the molar mass of Diazepam

To calculate the molar mass of Diazepam (C16H13N2OCl), we will add the molar masses of each individual element present in the compound considering the number of atoms of each element: Molar mass of C = 12.01 g/mol Molar mass of H = 1.01 g/mol Molar mass of N = 14.01 g/mol Molar mass of O = 16.00 g/mol Molar mass of Cl = 35.45 g/mol Molar mass of Diazepam = (16 * 12.01) + (13 * 1.01) + (2 * 14.01) + 16.00 + 35.45 = 284.74 g/mol
02

2. Calculate the mass contribution of each element

Now, we will determine the mass of each element in the compound: Mass of C = 16 * 12.01 = 192.16 g Mass of H = 13 * 1.01 = 13.13 g Mass of N = 2 * 14.01 = 28.02 g Mass of O = 16.00 g Mass of Cl = 35.45 g
03

3. Calculate the mass percent of each element

Finally, divide the mass of each element by the total molar mass and multiply by 100: Mass percent of C = (192.16 / 284.74) * 100 = 67.52 % Mass percent of H = (13.13 / 284.74) * 100 = 4.61 % Mass percent of N = (28.02 / 284.74) * 100 = 9.84 % Mass percent of O = (16.00 / 284.74) * 100 = 5.62 % Mass percent of Cl = (35.45 / 284.74) * 100 = 12.45 % Thus, the mass percent of each element in Diazepam is as follows: C: 67.52 % H: 4.61 % N: 9.84 % O: 5.62 % Cl: 12.45 %

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