Chapter 6: Problem 84
Calculate the mass percent composition of Cl in each compound. (a) carbon tetrachloride (b) calcium hypochlorite (c) perchloric acid
Short Answer
Expert verified
The mass percent composition of Cl in (a) CCl4 is 92.19%, (b) Ca(OCl)2 is 49.56%, and (c) HClO4 is 35.27%.
Step by step solution
01
Find the molar mass of carbon tetrachloride (CCl4)
The molar mass of CCl4 can be found by adding the atomic mass of one atom of carbon (C) and four atoms of chlorine (Cl). Using the periodic table: Molar mass of C = 12.01 g/mol. Molar mass of Cl = 35.45 g/mol. Total molar mass = 12.01 g/mol (C) + 4 * 35.45 g/mol (Cl) = 12.01 g/mol + 141.8 g/mol = 153.81 g/mol.
02
Calculate the mass percent of Cl in CCl4
The mass percent of Cl in CCl4 is calculated by taking the combined mass of the Cl atoms, dividing by the total molar mass of the compound and multiplying by 100. Mass percent of Cl = (4 * 35.45 g/mol / 153.81 g/mol) * 100 = (141.8 g/mol / 153.81 g/mol) * 100 = 92.19%.
03
Find the molar mass of calcium hypochlorite (Ca(OCl)2)
Using the periodic table find the atomic masses and add them up: Molar mass of Ca = 40.08 g/mol. Molar mass of O = 16.00 g/mol. Molar mass of Cl = 35.45 g/mol. Total molar mass = 40.08 g/mol (Ca) + 2 * (16.00 g/mol (O) + 35.45 g/mol (Cl)) = 40.08 g/mol + 2 * 51.45 g/mol = 143.08 g/mol.
04
Calculate the mass percent of Cl in Ca(OCl)2
The mass percent of Cl in Ca(OCl)2 is calculated similarly to step 2. Mass percent of Cl = (2 * 35.45 g/mol / 143.08 g/mol) * 100 = (70.9 g/mol / 143.08 g/mol) * 100 = 49.56%.
05
Find the molar mass of perchloric acid (HClO4)
Calculate using atomic masses from the periodic table: Molar mass of H = 1.01 g/mol. Molar mass of Cl = 35.45 g/mol. Molar mass of O = 16.00 g/mol. Total molar mass = 1.01 g/mol (H) + 35.45 g/mol (Cl) + 4 * 16.00 g/mol (O) = 1.01 g/mol + 35.45 g/mol + 64.00 g/mol = 100.46 g/mol.
06
Calculate the mass percent of Cl in HClO4
Mass percent of Cl = (35.45 g/mol / 100.46 g/mol) * 100 = 35.27%.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Molar Mass Calculation
Understanding the molar mass of a compound is crucial for delving into stoichiometry and the mass percent composition of chemical compounds. The molar mass is the weight of one mole of a substance and is commonly expressed in grams per mole (g/mol).
To calculate the molar mass, we sum the atomic masses of all atoms present in the molecule. These atomic masses are found on the periodic table and usually represent the average mass of all isotopes of an element taking into account their natural abundance. For example, in the compound carbon tetrachloride (CCl4), we add the atomic mass of carbon to four times the atomic mass of chlorine to find the total molar mass.
To calculate the molar mass, we sum the atomic masses of all atoms present in the molecule. These atomic masses are found on the periodic table and usually represent the average mass of all isotopes of an element taking into account their natural abundance. For example, in the compound carbon tetrachloride (CCl4), we add the atomic mass of carbon to four times the atomic mass of chlorine to find the total molar mass.
Calculation Breakdown
- Identify the components: Determine the elements and the number of each present in the molecule.
- Atomic mass: Refer to the periodic table for atomic masses.
- Addition: Multiply the atomic mass of each element by its count in the compound and total the results.
Chemical Compounds
Chemical compounds are substances made up of two or more different types of atoms bonded together. The proportion and type of atoms determine the compound’s properties, including physical state, reactivity, and roles in biological mechanisms or industrial processes.
Compounds are represented by chemical formulas that specify the types and numbers of atoms involved. For instance, calcium hypochlorite is represented as Ca(OCl)2, indicating it contains one calcium (Ca), two oxygen (O), and two chlorine (Cl) atoms. The structure of the compound áffects its overall molar mass and the mass percent composition of each element within it.
Compounds are represented by chemical formulas that specify the types and numbers of atoms involved. For instance, calcium hypochlorite is represented as Ca(OCl)2, indicating it contains one calcium (Ca), two oxygen (O), and two chlorine (Cl) atoms. The structure of the compound áffects its overall molar mass and the mass percent composition of each element within it.
Understanding Compounds
- Chemical Formula: Expresses the types and numbers of atoms.
- Bonds: Atoms in a compound are linked by chemical bonds, crucial in determining the compound's properties.
- Variety: Compounds range widely in complexity from simple molecules like water (H2O) to complex biomolecules like DNA.
Stoichiometry
Stoichiometry is the quantitative aspect of chemistry dealing with the relationships between the amounts of reactants and products in a chemical reaction. It allows us to calculate the mass of a reactant or product from the mass of another substance involved in the reaction.
Mass percent composition is a fundamental concept within stoichiometry that corresponds to the mass of a particular element relative to the total mass of the compound, expressed as a percentage. This can illustrate how much of an element is present in a mole of a compound, which is particularly important when dealing with chemical reactions and preparing solutions.
Mass percent composition is a fundamental concept within stoichiometry that corresponds to the mass of a particular element relative to the total mass of the compound, expressed as a percentage. This can illustrate how much of an element is present in a mole of a compound, which is particularly important when dealing with chemical reactions and preparing solutions.
Key Principles of Stoichiometry
- Conservation of Mass: In a chemical reaction, the mass of products equals the mass of reactants.
- Mole Ratio: Derived from the balanced chemical equation, it shows the ratio of moles of reactants and products.
- Mass Percent Composition: Demonstrates the mass contribution of each element to the overall compound.