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How many atoms of aluminum (Al) are in 6.98 mol of aluminum?​

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Answer:


\boxed {\boxed {\sf 4.20 *10^(24) \ atoms \ Al }}

Step-by-step explanation:

To convert from moles to atoms, we must us Avogadro's number: 6.022*10²³. This tells us the number of particles (atoms, molecules, etc.) in 1 mole of a substance. In this case, it is atoms of aluminum.

We can use the number as a fraction.


(6.022*10^(23) atoms \ Al)/(1 \ mol \ Al)

Multiply by the given number of moles: 6.98


6.98 \ mol \ Al *(6.022*10^(23) atoms \ Al)/(1 \ mol \ Al)

The moles of aluminum will cancel.


6.98 *(6.022*10^(23) atoms \ Al)/(1 )

The denominator of 1 can be ignored.


6.98 * {6.022*10^(23) atoms \ Al}

Multiply.


4.203356*10^(24) \ atoms \ Al

The original measurement of moles has 3 significant figures, so our answer must have the same.

For the number we calculated, that is the hundredth place. The 3 in the thousandth place tells us to leave the 0.


4.20 *10^(24) \ atoms \ Al

There are about 4.20*10²⁴ atoms of aluminum in 6.98 moles.

User Eilene
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