The molecular formula of allicin, the compound responsible for the characteristic smell of garlic, is C 6 H 10 OS 2 . (b) How many moles of allicin are present in 5.00 mg of this substance?

Hi everyone here we have a question telling us that an alternative sweetener stevia has a molecular formula of C. 54 age 70 oh 23. And our goal is to calculate the malls of stevia in 5.0 mg of this substance. So first we need to calculate the molar mass of stevia. So we have carbon and we have 44 of them. And if we look on the periodic table we see that smaller masses 12.01, which equals 528.44. And then we have hydrogen. We have 70 of them times 1. equals 70.7. And then we have oxygen. We have 23 of them And it's more masses 16. That equals 368. For a total of 967. g per mole. So we have 5.00 mg of stevia. And we first need to change that into g. So we're gonna multiply by 10 to the negative 3rd g Divided by one mg times one more Divided by its Molar mass 967. g. And our milligrams are going to cancel out our grams are gonna cancel out, leading us with 5.17 times 10 to the negative six g. And that is our final answer. Thank you for watching. Bye

Ch.3 - Chemical Reactions and Reaction Stoichiometry

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Brown 15th Edition

Ch.3 - Chemical Reactions and Reaction Stoichiometry

Problem 39b

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Chapter 3, Problem 39b

The molecular formula of allicin, the compound responsible for the characteristic smell of garlic, is C₆H₁₀OS₂. (b) How many moles of allicin are present in 5.00 mg of this substance?

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First, calculate the molar mass of allicin (C6H10OS2). To do this, sum the atomic masses of all the atoms in the formula: 6 carbons (C), 10 hydrogens (H), 1 oxygen (O), and 2 sulfurs (S).

Convert the mass of allicin from milligrams to grams, as molar mass is typically expressed in grams per mole.

Use the formula for number of moles, which is given by moles = mass (g) / molar mass (g/mol).

Substitute the mass of allicin in grams and its molar mass into the formula to calculate the number of moles.

Ensure the final answer has the correct units of moles and consider significant figures based on the given data.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Molecular Formula

A molecular formula indicates the number and type of atoms in a molecule. For allicin, C6H10OS2, it shows there are 6 carbon atoms, 10 hydrogen atoms, 1 oxygen atom, and 2 sulfur atoms. Understanding the molecular formula is essential for calculating the molar mass, which is necessary for converting mass to moles.

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). To find the number of moles in a given mass, you first calculate the molar mass of allicin by summing the atomic masses of all atoms in its molecular formula. This value is crucial for converting the mass of allicin (5.00 mg) into moles.

Conversion from Mass to Moles

To convert mass to moles, the formula used is: moles = mass (g) / molar mass (g/mol). In this case, the mass of allicin must be converted from milligrams to grams (5.00 mg = 0.005 g) before applying the formula. This conversion is fundamental for determining how many moles of allicin are present in the specified mass.

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Mass and Moles Conversion

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The molecular formula of allicin, the compound responsible for the characteristic smell of garlic, is C₆H₁₀OS₂. a. What is the molar mass of allicin?

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The molecular formula of allicin, the compound responsible for the characteristic smell of garlic, is C₆H₁₀OS₂. (c) How many molecules of allicin are in 5.00 mg of this substance?

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The molecular formula of allicin, the compound responsible for the characteristic smell of garlic, is C₆H₁₀OS₂. (d) How many S atoms are present in 5.00 mg of allicin?

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The molecular formula of allicin, the compound responsible for the characteristic smell of garlic, is C6H10OS2. (b) How many moles of allicin are present in 5.00 mg of this substance?

Verified Solution

Key Concepts

Molecular Formula

Molar Mass

Conversion from Mass to Moles

The molecular formula of allicin, the compound responsible for the characteristic smell of garlic, is C₆H₁₀OS₂. (b) How many moles of allicin are present in 5.00 mg of this substance?