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Helen [10]
2 years ago
11

How many moles of iron is equivalent to 4.45 x 10^22 atoms of iron

Chemistry
2 answers:
bonufazy [111]2 years ago
6 0

Answer:

\boxed {\boxed {\sf 0.0739 \ mol \ Fe}}

Explanation:

We are asked to convert a number of iron atoms to moles of iron.  

We will use Avogadro's Number for this, which is 6.022 × 10²³. This is the number of particles (atoms, molecules, formula units, etc.) in 1 mole of a substance. For this problem, the particles are atoms of iron. There are <u>6.022 ×10²³ atoms of iron in 1 mole of iron.</u>  

We will also use dimensional analysis to solve this problem. To do this, we use ratios. Set up a ratio using the underlined information.

\frac {6.022 \times 10^{23} \ atoms \ Fe} {1 \ mol \ Fe}

Since we are converting 4.45 × 10²² atoms of iron to moles, we multiply the ratio by that value.

4.45 \ \times 10^{22} \ atoms \ Fe *\frac {6.022 \times 10^{23} \ atoms \ Fe} {1 \ mol \ Fe}

Flip the ratio. The value is the same, but it allows us to cancel the units of atoms of iron.

4.45 \ \times 10^{22} \ atoms \ Fe *\frac  {1 \ mol \ Fe}{6.022 \times 10^{23} \ atoms \ Fe}

4.45 \ \times 10^{22} *\frac  {1 \ mol \ Fe}{6.022 \times 10^{23}}

Condense into 1 fraction.

\frac  {4.45 \ \times 10^{22} }{6.022 \times 10^{23}} \ mol \ Fe

0.07389571571 \ mol \ Fe

The original measurement of atoms ( 4.45 × 10²²) has 3 significaint figures, so our answer must have the same. For the number we calculated, that is the ten-thousandths place. The 9 to the right of this place (0.07389571571) tells us to round the 8 up to a 9.

0.0739 \ mol \ Fe

There are approximately <u>0.0739 moles of iron</u> in 4.45 × 10²² atoms of iron.  

soldier1979 [14.2K]2 years ago
4 0

Answer:

0.074 moles

Explanation:

For every mole (of any element), there are 6.022 x 10^23 atoms.

There are 4.45 x 10^22 atoms of iron.

To find the moles we divide the number of atoms by Avogadro's number

4.45 x 10^22 / 6.022 x 10^23 = 0.0738957

Don't forget sig figs

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