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Calculate the number of moles in 5.72 grams of \(\mathrm{Al}\).

Short Answer

Expert verified
There are approximately 0.212 moles of aluminum in 5.72 grams.

Step by step solution

01

Identify the Molar Mass of Aluminum

First, we need to know the molar mass of aluminum (Al). The atomic weight of aluminum is approximately 26.98 grams per mole. This information can typically be found on the periodic table.
02

Apply the Formula for Moles Calculation

To find the number of moles, use the formula: \[ \text{moles} = \frac{\text{mass}}{\text{molar mass}} \]Here, the mass is given as 5.72 grams and the molar mass of aluminum is 26.98 grams per mole.
03

Substitute the Values and Calculate

Now, substitute the known values into the formula:\[ \text{moles} = \frac{5.72 \text{ grams}}{26.98 \text{ grams/mole}} \]Perform the division to calculate the number of moles.
04

Solve the Calculation

Carrying out the division:\[ \text{moles} = \frac{5.72}{26.98} \approx 0.212 \text{ moles of } \mathrm{Al} \] Thus, there are approximately 0.212 moles of aluminum in 5.72 grams.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Molar Mass
Molar mass is a fundamental concept in chemistry that refers to the mass of one mole of a substance. It is expressed in grams per mole (g/mol). Essentially, the molar mass is the same as the atomic or molecular weight of a substance found on the periodic table, but expressed in these units. For instance, aluminum (Al) has a molar mass of approximately 26.98 g/mol because this is its atomic weight on the periodic table. To determine how many moles of a substance you have, you'll often use this value in your calculations. Molar mass is crucial for converting between grams and moles, allowing you to measure chemicals in a laboratory setting efficiently.
Chemical Calculations
Chemical calculations are essential for understanding the relationships between different substances in a chemical reaction. These calculations often involve converting between different units, such as grams and moles, using formulas derived from basic principles of chemistry.
To calculate the number of moles from a given mass, you use the formula:
  • Moles = Mass / Molar Mass
Using this equation, you can easily find out how many moles of a substance you have if its molar mass and total mass are known. In the example problem, you calculate the number of moles of aluminum by dividing the mass (5.72 grams) by its molar mass (26.98 g/mol). This process highlights the importance of understanding chemical calculations in practical situations.
Stoichiometry
Stoichiometry is the study of the quantities of reactants and products in chemical reactions. This field applies the principles of the law of conservation of mass, which states that mass cannot be created or destroyed in a chemical reaction.
Understanding how to balance chemical equations is fundamental in stoichiometry because it allows you to see the exact proportions in which reactants combine and products form. Though stoichiometry often involves more complex problems than simply finding moles from mass, such as determining theoretical yields or limiting reagents, the initial step often begins with moles calculation. Hence, mastering the calculation of moles is an integral part of solving broader stoichiometric problems.
Periodic Table
The periodic table is a comprehensive chart that organizes all known elements based on their atomic number, electron configuration, and recurring chemical properties. It is a crucial tool in chemistry because it provides essential information needed for various calculations, such as the molar mass of an element.
The atomic weight listed for each element typically represents the average mass of an element's isotopes, accounting for their natural abundance. For example, in the exercise, the molar mass of aluminum (26.98 g/mol) is derived from its atomic weight on the periodic table. By knowing how to read and utilize the periodic table, you can access vital information that supports chemical calculations. This is essential for converting grams to moles and vice versa, and for understanding the broader context of chemical reactions.

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