The molecular formula of aspartame, the artificial sweetener marketed as NutraSweet®, is C 14 H 18 N 2 O 5 . (a) What is the molar mass of aspartame?

Welcome back everyone in this example, we're told that caffeine, a natural stimulant found in coffee and tea, has the following molecular formula and we need to calculate the molar mass of caffeine. So we first want to recall that molar mass is represented by this symbol here, A big capital M. And we can calculate this only in units of grams per mole. We should recall because it's for one mole of our substance. So we can find this by taking our number of atoms of our element, which is given in our molecular formula in the prompt. And we would multiply this by their respective atomic mass which we should recall. We can find on our periodic table and so going into our molecular formula, we see that we have first eight atoms of carbon. So we're going to multiply this by its respective molar mass on the periodic table given as 12.01 g per mole. Now because our molecular formula consists of not just carbon. We're going to place this in parentheses and add onto this. Our next atom, which we can see is our 10 atoms of hydrogen. So we have 10 atoms of hydrogen. We're going to multiply it by their respective Mueller mass on the periodic table given as one point oh eight g per mole. Moving forward, we have our next atom where we see, we have four atoms of nitrogen. So we can see added onto this will say four atoms of nitrogen multiplied by the respective molar mass on the periodic table given as 14.01 g per mole finishing off our parentheses here, we just have one last element in our molecular formula where we see we have two atoms of oxygen. So we have added onto this two Atoms of oxygen And this is going to be multiplied by its respective molar mass given on the periodic table as a value of 16. And we're going to use units of g per mole. And so to complete our calculation, we're going to type in Our entire expression above and this is going to yield a result equal to a value of 192, correction 194 0.2, and we have units of g per mole. And so this would be our final answer for our calculation of our molar mass of caffeine. So I hope that everything that I reviewed was clear. If you have any questions, please leave them down below and I will see everyone in the next practice video.

Ch.3 - Chemical Reactions and Reaction Stoichiometry

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Brown 14th Edition

Ch.3 - Chemical Reactions and Reaction Stoichiometry

Problem 40a

Chapter 3, Problem 40a

The molecular formula of aspartame, the artificial sweetener marketed as NutraSweet®, is C₁₄H₁₈N₂O₅. (a) What is the molar mass of aspartame?

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Identify the elements present in aspartame: carbon (C), hydrogen (H), nitrogen (N), and oxygen (O).

Determine the number of each type of atom in the molecular formula: C_{14}H_{18}N_{2}O_{5}.

Find the atomic mass of each element from the periodic table: C = 12.01 g/mol, H = 1.01 g/mol, N = 14.01 g/mol, O = 16.00 g/mol.

Calculate the total mass contributed by each element by multiplying the atomic mass by the number of atoms: (14 \times 12.01) for carbon, (18 \times 1.01) for hydrogen, (2 \times 14.01) for nitrogen, and (5 \times 16.00) for oxygen.

Add the total masses of all elements to find the molar mass of aspartame.

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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 molecular formula. For aspartame, the molar mass can be determined by adding the contributions from carbon (C), hydrogen (H), nitrogen (N), and oxygen (O) based on their respective quantities in the formula C14H18N2O5.

Atomic Mass

Atomic mass is the weighted average mass of an element's isotopes, measured in atomic mass units (amu). Each element has a specific atomic mass that can be found on the periodic table. For calculating molar mass, the atomic masses of carbon, hydrogen, nitrogen, and oxygen are used to find the total mass of aspartame by multiplying the atomic mass of each element by the number of times it appears in the molecular formula.

Molecular Formula

A molecular formula represents the number and type of atoms in a molecule, providing insight into its composition. It differs from an empirical formula, which shows the simplest ratio of elements. In the case of aspartame, the molecular formula C14H18N2O5 indicates that the molecule contains 14 carbon atoms, 18 hydrogen atoms, 2 nitrogen atoms, and 5 oxygen atoms, which is essential for calculating its molar mass.

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The molecular formula of aspartame, the artificial sweetener marketed as NutraSweet®, is C₁₄H₁₈N₂O₅. (c) How many molecules of aspartame are present in 1.00 mg of aspartame?

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Open Question

A sample of glucose, C6H12O6, contains 1.250 * 10^21 carbon atoms. (a) How many atoms of hydrogen does it contain? (b) How many molecules of glucose does it contain?

The molecular formula of aspartame, the artificial sweetener marketed as NutraSweet®, is C14H18N2O5. (a) What is the molar mass of aspartame?

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Molar Mass

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Molecular Formula

The molecular formula of aspartame, the artificial sweetener marketed as NutraSweet®, is C₁₄H₁₈N₂O₅. (a) What is the molar mass of aspartame?