Chapter 3: Problem 63
A pure gold bar is made of 19.55 mol of gold. What is the mass of the bar in grams?
Short Answer
Expert verified
The mass of the gold bar is 3851.85 grams.
Step by step solution
01
Identify the Knowns
You are given the number of moles of gold, 19.55 mol. Also, you know that the molar mass of gold from the periodic table is approximately 197.0 g/mol.
02
Use the Molar Mass to Find the Mass
Use the number of moles and molar mass to find the mass of the gold. The formula to calculate mass from number of moles and molar mass is mass = moles x molar mass.
03
Calculate the Mass
Plug the known values into the equation: mass = 19.55 mol x 197.0 g/mol.
04
Solve
After multiplication, get the mass of the gold bar. Make sure to provide the answer in grams.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Stoichiometry
Stoichiometry is a section of chemistry that involves the calculation of the quantities of reactants and products in chemical reactions. It is founded on the conservation of mass where the quantity of each element is conserved in a chemical reaction.
For students to understand stoichiometry, it is crucial to grasp the basic principle that the coefficients in a balanced chemical equation represent the ratio of moles of reactants and moles of products involved. For example, if a chemical equation depicts that 2 moles of hydrogen react with 1 mole of oxygen to form 2 moles of water, it showcases a 2:1:2 ratio of hydrogen to oxygen to water.
For students to understand stoichiometry, it is crucial to grasp the basic principle that the coefficients in a balanced chemical equation represent the ratio of moles of reactants and moles of products involved. For example, if a chemical equation depicts that 2 moles of hydrogen react with 1 mole of oxygen to form 2 moles of water, it showcases a 2:1:2 ratio of hydrogen to oxygen to water.
Mole Concept
The mole concept is a fundamental aspect of chemistry that provides a bridge between the microscopic world of atoms and the macroscopic world we live in. A mole represents Avogadro's number (approximately 6.022 x 1023) of particles, which could be atoms, molecules, ions, or electrons.
The molar mass, the mass of one mole of a substance, is a critical detail provided by the periodic table for every element based on its atomic weight. For instance, in the gold bar exercise, the molar mass of gold (Au) was used as 197.0 g/mol, which signifies that 1 mole of gold atoms weighs 197 grams. This is an imperative starting point for any chemical calculation involving mass and number of moles.
The molar mass, the mass of one mole of a substance, is a critical detail provided by the periodic table for every element based on its atomic weight. For instance, in the gold bar exercise, the molar mass of gold (Au) was used as 197.0 g/mol, which signifies that 1 mole of gold atoms weighs 197 grams. This is an imperative starting point for any chemical calculation involving mass and number of moles.
Periodic Table
The periodic table is not just a chart of elements but the encyclopedia of chemical elements, offering vast information about each element, which includes atomic number, relative atomic mass, and properties.
Understanding Molar Mass in the Periodic Table
Each element's molar mass is directly taken from the periodic table which corresponds to the element's atomic weight. For example, the exercise required the use of the atomic mass of gold which is approximately 197.0 g/mol, listed under the symbol 'Au' for gold on the periodic table. Not only does the periodic table provide these details, but it also gives insights into the element's reactivity, its electron configuration, and more, all of which are instrumental in stoichiometry and chemical calculations.Chemical Calculations
Chemical calculations often involve solving problems related to chemical reactions, such as calculating yields, concentrations, and, as shown in the exercise, the mass of substances.
When performing chemical calculations, it is essential to start by deciphering what is known and what needs to be calculated. Hence, starting by identifying known quantities—as seen in Step 1 for the gold exercise—is a standard and crucial practice.
When performing chemical calculations, it is essential to start by deciphering what is known and what needs to be calculated. Hence, starting by identifying known quantities—as seen in Step 1 for the gold exercise—is a standard and crucial practice.