Question

How many grams of silicon are in a computer chip with 1.08 x 10^23 atoms of Si?

Answer 1

Mass of Silicon is 5.0 grams in a computer chip.

Explanation:

Given:
Number of Atoms Of silicon = `1.08*10^23`
Avogadro number = `6.023*10^23`
Molar Mass of Silicon = `28.09` g/mol

Required:
Mass of silicon in computer chip = ?

Using Formula:
Number of moles(n) = number of atoms(N)/ Avogadro Number(Na)

`n` = `1.08*10^23` / `6.023*10^23`

`n` = `0.17` moles

Now applying second formula for calculating Mass of silicon;

Number of moles = mass of silicon / Molar mass of silicon

n = `m / M`

By Cross multiplication;

`m = n * M`

Now apply moles `(n)` of silicon value here;

`m = 0.17mol * 28.09` g / mol

m = 5.0 g.

Hope this Helps.. ^_^

Answer 2

Well, we need to have TWO pieces of data....I get about `5*g`..

Explanation:

`1.` `"One mole of silicon has a mass of 28.09 g."`

`2.` `"One mole of silicon contains "6.022xx10^23*"atoms".`

And with these data we can equate MASS with the number of atoms...and this is the principle of chemical equivalence....

And so we take the product of the quotient....

`(1.08xx10^23*"silicon atoms")/(6.022xx10^23*"silicon atoms"*mol^-1)xx28.09*g*mol^-1`

`=??*g`