Chapter 4: Problem 118
Determine the chemical formula of each compound and use it to calculate the mass percent composition of each constituent element. a. phosphorus pentachloride b. nitrogen triiodide c. carbon dioxide
Short Answer
Expert verified
The mass percent compositions are as follows: a) PCl5 has 13.9% Phosphorus and 86.1% Chlorine. b) NI3 has 9.3% Nitrogen and 90.7% Iodine. c) CO2 has 27.3% Carbon and 72.7% Oxygen.
Step by step solution
01
Identifying the Chemical Formula of Phosphorus Pentachloride
Phosphorus pentachloride has a prefix 'penta-', indicating five chlorine atoms, combined with one phosphorus atom. Therefore, the chemical formula is PCl5.
02
Calculating Mass Percent of Phosphorus in PCl5
To find the mass percent, first calculate the molar mass of PCl5 by adding the atomic mass of Phosphorus (30.97 g/mol) and 5 times the atomic mass of Chlorine (5 * 35.45 g/mol). Then divide the atomic mass of Phosphorus by the molar mass of PCl5 and multiply by 100 to get the percentage.
03
Calculating Mass Percent of Chlorine in PCl5
Using the molar mass calculated in the previous step, divide the total atomic mass of Chlorine (5 * 35.45 g/mol) by the molar mass of PCl5 and multiply by 100 to get the percentage.
04
Identifying the Chemical Formula of Nitrogen Triiodide
Nitrogen triiodide has a prefix 'tri-', indicating three iodine atoms, combined with one nitrogen atom. Therefore, the chemical formula is NI3.
05
Calculating Mass Percent of Nitrogen in NI3
To find the mass percent, first calculate the molar mass of NI3 by adding the atomic mass of Nitrogen (14.01 g/mol) and 3 times the atomic mass of Iodine (3 * 126.90 g/mol). Then divide the atomic mass of Nitrogen by the molar mass of NI3 and multiply by 100 to get the percentage.
06
Calculating Mass Percent of Iodine in NI3
Using the molar mass calculated in the previous step, divide the total atomic mass of Iodine (3 * 126.90 g/mol) by the molar mass of NI3 and multiply by 100 to get the percentage.
07
Identifying the Chemical Formula of Carbon Dioxide
Carbon dioxide consists of one carbon atom and two oxygen atoms. Therefore, the chemical formula is CO2.
08
Calculating Mass Percent of Carbon in CO2
To find the mass percent, first calculate the molar mass of CO2 by adding the atomic mass of Carbon (12.01 g/mol) and 2 times the atomic mass of Oxygen (2 * 16.00 g/mol). Then divide the atomic mass of Carbon by the molar mass of CO2 and multiply by 100 to get the percentage.
09
Calculating Mass Percent of Oxygen in CO2
Using the molar mass calculated in the previous step, divide the total atomic mass of Oxygen (2 * 16.00 g/mol) by the molar mass of CO2 and multiply by 100 to get the percentage.
Unlock Step-by-Step Solutions & Ace Your Exams!
-
Full Textbook Solutions
Get detailed explanations and key concepts
-
Unlimited Al creation
Al flashcards, explanations, exams and more...
-
Ads-free access
To over 500 millions flashcards
-
Money-back guarantee
We refund you if you fail your exam.
Over 30 million students worldwide already upgrade their learning with Vaia!
Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Chemical Formula
Understanding chemical formulas is fundamental to grasping the composition of compounds. A chemical formula, such as PCl5 for phosphorus pentachloride, presents the elements involved and the number of atoms of each element in a single molecule of the compound. The subscript numbers, like the '5' in PCl5, denote the count of atoms, whereas a lack of subscript indicates a single atom is present, as seen with the 'P' for phosphorus. Consequently, nitrogen triiodide is notated as NI3, representing one nitrogen atom bound to three iodine atoms. In carbon dioxide or CO2, the formula conveys that each molecule consists of one carbon atom and two oxygen atoms.
Molar Mass Calculation
To calculate molar mass, sum the atomic masses of all atoms comprising a molecule, as found on the periodic table. Take phosphorus pentachloride, for instance; its molar mass is the sum of the atomic mass of one phosphorus atom plus five chlorine atoms. The resulting molar mass is a crucial stepping stone for calculating mass percentages, as it gives the weight of one mole of the substance. To effectively perform these calculations, it is vital to understand the distinct atomic weights of each atom and accurately multiply these by the number of atoms present in the molecule.
Atomic Mass
Atomic mass, expressed in atomic mass units (amu) or grams per mole (g/mol), is the weight of a single atom of an element. Typically sourced from the periodic table, these values, such as 14.01 g/mol for nitrogen or 16.00 g/mol for oxygen, are based on the weighted average of all the isotopes of that element. Accurate understanding and usage of atomic masses are integral to the various calculations in chemistry, including finding the molar mass and determining mass percent composition of compounds.
Percent Composition Calculation
Mass percent composition details the proportion, by mass, of each element within a compound. It's determined by dividing the total mass of each element in a single mole of the compound by the molar mass of the compound, then multiplying by 100. In this exercise, for each compound, we calculated the mass of the constituent atoms and divided by the compound's molar mass. Nitrogen's mass percent in NI3, for example, is computed by dividing the atomic mass of nitrogen by the molar mass of NI3 and then multiplying by 100 to yield nitrogen's percentage of the total mass.
Stoichiometry
Stoichiometry links the quantitative relationships between reactants and products in chemical reactions. It utilizes the principles discussed here—like the chemical formulas and molar masses—to predict the amounts of substances consumed and created in reactions. Understanding the stoichiometric coefficients (the numbers in front of molecules in a balanced equation) and how they relate to moles is key. This allows chemists to calculate how much reactant is needed to produce a desired amount of product or how much product can be made from given reactants. While not directly applied in the mass percent composition calculation, stoichiometry is a broader concept that encompasses these calculations and extends to balance and interpret chemical equations.