28.09 g of silicon contains 6.02 1023 silicon atoms. What is the mass in grams of 1.06 1025 silicon atoms?

Can you help me please.

Thank you Dr. Bob

Yes, I can help you with that.

To find the mass of 1.06 x 10^25 silicon atoms, we can set up a proportion using the given information.

We know that 28.09 g of silicon contains 6.02 x 10^23 silicon atoms.

Let's set up the proportion:

28.09 g / 6.02 x 10^23 atoms = x g / 1.06 x 10^25 atoms

To solve for x, we cross-multiply and solve for x:

x g = (28.09 g * (1.06 x 10^25 atoms)) / (6.02 x 10^23 atoms)

x g = 48.7492 g

Therefore, the mass of 1.06 x 10^25 silicon atoms is approximately 48.7492 grams.

Of course, I can help you with that! To find the mass in grams of 1.06 x 10^25 silicon atoms, we will use the given information that 28.09 g of silicon contains 6.02 x 10^23 silicon atoms.

First, let's calculate the molar mass of silicon. The molar mass is the mass of one mole of a substance and is equal to the atomic mass of the element in grams. For silicon, the atomic mass is approximately 28.09 g/mol.

Next, we can calculate the number of moles in 28.09 g of silicon. We divide the given mass by the molar mass:

Number of moles = mass / molar mass
Number of moles = 28.09 g / 28.09 g/mol = 1 mol

Now, let's find the number of moles in 1.06 x 10^25 silicon atoms. We can use Avogadro's number (6.02 x 10^23 atoms/mol) to convert the given number of atoms to moles:

Number of moles = number of atoms / Avogadro's number
Number of moles = (1.06 x 10^25 atoms) / (6.02 x 10^23 atoms/mol)

Now we have the number of moles of silicon atoms. To find the mass in grams, we can multiply the number of moles by the molar mass:

Mass = number of moles x molar mass

Let's plug in the values:

Mass = (1.06 x 10^25 atoms) / (6.02 x 10^23 atoms/mol) x (28.09 g/mol)

Simplifying the expression:

Mass ≈ 186.048 g

Therefore, the mass in grams of 1.06 x 10^25 silicon atoms is approximately 186.048 grams.

You can do a ratio/proportion like this:

(g/atoms) = (g/atoms)
(28.09g/6.02E23atoms) = (x g/1.06E25 atom) and solve for x.

OR you can remember that 1 mol of atoms contains 6.02E23 atoms so how many mols do you have? That's 1.06E25/6.02E23 = ?
1 mol has a mass of 28.09 g so the mass of ? mols is xx.

Or you can do
28.09 g x (1.06E25/6.02E23) = ?g