What is the mass of 4.91×10 21 platinum atoms?

Hey everyone. Our question here is asking us, how much do 6.2 times 10 to the 21st atoms of tungsten weight in g. To answer this question we're first going to meet to look at our periodic table and get the molar mass of tungsten. Now looking at our periodic table, we see that we have 183 0.84 g of tungsten per one mole of tungsten. So using that into our question, We're first going to take our 6.2 times 10 to the 21st atoms of tungsten and we're going to use avocados number to convert from Adams into moles. So we know that we have 6.02, 2 times 10 to the 23rd Adams of Tungsten per one mole of Tungsten plugging in our molar mass, We found that we have 183.84 g of tungsten per one mole of Tungsten. Now, when we calculate this out and cancel out our units, we end up with a value of 1. grams of truxton. And this is going to be our final answer. So I hope this made sense. And let us know if you have any questions

Ch.2 - Atoms & Elements

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Tro 4th Edition

Ch.2 - Atoms & Elements

Problem 86

Chapter 2, Problem 86

What is the mass of 4.91×10²¹ platinum atoms?

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Determine the molar mass of platinum (Pt) from the periodic table, which is approximately 195.08 g/mol.

Use Avogadro's number, which is approximately 6.022 \times 10^{23} atoms/mol, to find the number of moles of platinum atoms in 4.91 \times 10^{21} atoms.

Calculate the number of moles of platinum by dividing the given number of atoms by Avogadro's number: \text{moles of Pt} = \frac{4.91 \times 10^{21} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mol}}.

Multiply the number of moles of platinum by the molar mass of platinum to find the mass: \text{mass of Pt} = \text{moles of Pt} \times 195.08 \text{ g/mol}.

The result from the previous step will give you the mass of 4.91 \times 10^{21} platinum atoms in grams.

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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). For platinum, the molar mass is approximately 195.08 g/mol. This value is essential for converting between the number of atoms and the mass of the substance, as it allows us to relate the atomic scale to macroscopic quantities.

Avogadro's Number

Avogadro's number, approximately 6.022 x 10²³, is the number of atoms, ions, or molecules in one mole of a substance. This constant is crucial for converting between the number of individual atoms and moles, enabling calculations involving quantities of matter in chemical reactions and stoichiometry.

Conversion of Atoms to Mass

To find the mass of a specific number of atoms, one must first convert the number of atoms to moles using Avogadro's number, and then multiply the number of moles by the molar mass of the element. This process allows for the determination of the mass of a given quantity of atoms, which is fundamental in stoichiometric calculations in chemistry.