   # Capsaicin, the compound that gives the hot taste to chili peppers, has the formula C 18 H 27 NO 3 . (a) Calculate its molar mass. (b) If you eat 55 mg of capsaicin, what amount (moles) have you consumed? (c) Calculate the mass percent of each element in the compound. (d) What mass of carbon (in milligrams) is there in 55 mg of capsaicin? ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 2, Problem 118GQ
Textbook Problem
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## Capsaicin, the compound that gives the hot taste to chili peppers, has the formula C18H27NO3.(a) Calculate its molar mass.(b) If you eat 55 mg of capsaicin, what amount (moles) have you consumed?(c) Calculate the mass percent of each element in the compound.(d) What mass of carbon (in milligrams) is there in 55 mg of capsaicin?

(a)

Interpretation Introduction

Interpretation: The molar mass for given compound capsaicin should be determined using given formula.

Concept introduction:

• Mass=Density×Volume
• Moleofsubstance=GramofsubstanceMolarmass
• The molar mass of an element or compound is the mass in grams of 1 mole of that substance, and it is expressed in the unit of grams per mol (g/mol)
• Mass percentage is one way to represent the concentration of an element in a compound or a component in a mixture. Mass percent of elements of a compound is the ratio of mass of element to the mass of whole compound and multiplied with hundred.

### Explanation of Solution

Molecular formula of the given compound Capsaicin is C18H27NO3

Molar mass of Capsaicin can be calculated as follows,

(18×12.01massofC)+(27×1massofH)

(b)

Interpretation Introduction

Interpretation: The amount of moles present in given amount of compound capsaicin should be determined.

Concept introduction:

• Mass=Density×Volume
• Moleofsubstance=GramofsubstanceMolarmass
• The molar mass of an element or compound is the mass in grams of 1 mole of that substance, and it is expressed in the unit of grams per mol (g/mol)
• Mass percentage is one way to represent the concentration of an element in a compound or a component in a mixture. Mass percent of elements of a compound is the ratio of mass of element to the mass of whole compound and multiplied with hundred.

(c)

Interpretation Introduction

Interpretation: The mass percent of each elements present in given compound capsaicin should be determined.

Concept introduction:

• Mass=Density×Volume
• Moleofsubstance=GramofsubstanceMolarmass
• The molar mass of an element or compound is the mass in grams of 1 mole of that substance, and it is expressed in the unit of grams per mol (g/mol)
• Mass percentage is one way to represent the concentration of an element in a compound or a component in a mixture. Mass percent of elements of a compound is the ratio of mass of element to the mass of whole compound and multiplied with hundred.

(d)

Interpretation Introduction

Interpretation: The mass of Carbon present in given amount of capsaicin should be calculated in milligrams.

Concept introduction:

• Mass=Density×Volume
• Moleofsubstance=GramofsubstanceMolarmass
• The molar mass of an element or compound is the mass in grams of 1 mole of that substance, and it is expressed in the unit of grams per mol (g/mol)
• Mass percentage is one way to represent the concentration of an element in a compound or a component in a mixture. Mass percent of elements of a compound is the ratio of mass of element to the mass of whole compound and multiplied with hundred.

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