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Chapter 3: Problem 30

Calculate the mass in grams of \(13.5 \mathrm{~mol}\) of (a) vinyl chloride, \(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{Cl}\), the starting material for a plastic. (b) capsaicin, \(\mathrm{C}_{18} \mathrm{H}_{27} \mathrm{NO}_{3}\), the substance that makes red chili peppers "hot." (c) stearic acid, \(\mathrm{C}_{18} \mathrm{H}_{36} \mathrm{O}_{2}\), used in soaps.

Short Answer

Expert verified
The mass in grams of 13.5 moles of: (a) Vinyl Chloride (C2H3Cl) is 843.75 g. (b) Capsaicin (C18H27NO3) is 4123.71 g. (c) Stearic Acid (C18H36O2) is 3841.29 g.

Step by step solution

01

Finding the Molar Mass of Vinyl Chloride (C2H3Cl)

To find the molar mass of Vinyl Chloride, we need to know the atomic mass of each atom in the compound. Using the periodic table, we find that: - Carbon (C) has an atomic mass of 12.01 g/mol - Hydrogen (H) has an atomic mass of 1.01 g/mol - Chlorine (Cl) has an atomic mass of 35.45 g/mol Now, we can calculate the molar mass of Vinyl Chloride: Molar mass = (2 × 12.01) + (3 × 1.01) + (1 × 35.45) = 24.02 + 3.03 + 35.45 = 62.50 g/mol
02

Mass of 13.5 mol Vinyl Chloride

Using the molar mass of Vinyl Chloride (62.50 g/mol) and the given amount of moles (13.5 mol), we can calculate the mass in grams: Mass = (13.5 mol) × (62.50 g/mol) = 843.75 g
03

Finding the Molar Mass of Capsaicin (C18H27NO3)

To find the molar mass of Capsaicin, we need to know the atomic mass of each atom in the compound. Using the periodic table, we find that: - Nitrogen (N) has an atomic mass of 14.01 g/mol - Oxygen (O) has an atomic mass of 16.00 g/mol Now, we can calculate the molar mass of Capsaicin: Molar mass = (18 × 12.01) + (27 × 1.01) + (1 × 14.01) + (3 × 16.00) = 216.18 + 27.27 + 14.01 + 48.00 = 305.46 g/mol
04

Mass of 13.5 mol Capsaicin

Using the molar mass of Capsaicin (305.46 g/mol) and the given amount of moles (13.5 mol), we can calculate the mass in grams: Mass = (13.5 mol) × (305.46 g/mol) = 4123.71 g
05

Finding the Molar Mass of Stearic Acid (C18H36O2)

To find the molar mass of Stearic Acid, we can use the atomic masses we found earlier and calculate the molar mass: Molar mass = (18 × 12.01) + (36 × 1.01) + (2 × 16.00) = 216.18 + 36.36 + 32.00 = 284.54 g/mol
06

Mass of 13.5 mol Stearic Acid

Using the molar mass of Stearic Acid (284.54 g/mol) and the given amount of moles (13.5 mol), we can calculate the mass in grams: Mass = (13.5 mol) × (284.54 g/mol) = 3841.29 g In conclusion, the mass in grams of \(13.5 \mathrm{~mol}\) of: (a) Vinyl Chloride, \(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{Cl}\), is \(843.75 \mathrm{~g}\). (b) Capsaicin, \(\mathrm{C}_{18} \mathrm{H}_{27} \mathrm{NO}_{3}\), is \(4123.71 \mathrm{~g}\). (c) Stearic Acid, \(\mathrm{C}_{18} \mathrm{H}_{36} \mathrm{O}_{2}\), is \(3841.29 \mathrm{~g}\).

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Most popular questions from this chapter

Chlorophyll, the substance responsible for the green color of leaves, has one magnesium atom per chlorophyll molecule and contains \(2.72 \%\) magnesium by mass. What is the molar mass of chlorophyll?

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