Ch.3 - Chemical Reactions and Reaction Stoichiometry

Brown - Chemistry: The Central Science 14th Edition

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Brown 14th Edition

Ch.3 - Chemical Reactions and Reaction Stoichiometry

Problem 37d

Chapter 3, Problem 37d

(d) What is the molar mass of cholesterol if 0.00105 mol has a mass of 0.406 g?

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Identify the given values from the problem: number of moles (mol) and mass (g). In this case, the number of moles of cholesterol is 0.00105 mol and the mass is 0.406 g.

Recall the formula for molar mass, which is the mass of one mole of a substance. The formula is: Molar Mass = \( \frac{\text{Mass (g)}}{\text{Moles (mol)}} \).

Substitute the given values into the molar mass formula. Replace 'Mass' with 0.406 g and 'Moles' with 0.00105 mol.

Perform the division as indicated by the formula to calculate the molar mass of cholesterol.

The result from the calculation will give you the molar mass of cholesterol in grams per mole (g/mol).

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Key Concepts

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

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is calculated by summing the atomic masses of all the atoms in a molecule. For example, the molar mass of cholesterol can be determined by dividing the mass of the sample by the number of moles present.

Calculating Moles

Moles are a unit of measurement in chemistry that quantify the amount of substance. The number of moles can be calculated using the formula: moles = mass (g) / molar mass (g/mol). Understanding how to manipulate this equation is essential for determining the molar mass when given mass and moles.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In chemistry, it is often necessary to convert between grams, moles, and molar mass. Mastery of unit conversion is crucial for accurately solving problems involving quantities of substances.

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Conversion Factors

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(a) What is the mass, in grams, of 1.223 mol of iron(III) sulfate? (b) How many moles of ammonium ions are in 6.955 g of ammonium carbonate? (c) What is the mass, in grams, of 1.50 * 1021 molecules of aspirin, C9H8O4?

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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?

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Calculate the following quantities: (c) number of molecules in 8.447⨉10⁻² mol C₆H₆

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Textbook Question