Question

Determine the number of atoms in 41.0 grams of calcium, Ca. (The mass of one mole of calcium is 40.08 g.)

Answer 1

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Let me know if you have questions about my answer:

6.15 × 10²⁴

Explanation:

To find the number of atoms, divide the mass of calcium (m) by its molar mass (MM). This will give you the number of moles of calcium (n).

$n = m/MM$            Start with a formula

$=\frac{41.0g}{40.08g/mol}$             Substitute values from the question

$= \frac{41.0g*1mol}{40.08g}$             Simplify

$= \frac{41.0mol}{40.08}$                 Cancel out the units "g"

$= 1.022...mol$          Number of moles of calcium, with 4 significant figures

Then, multiply the number of moles of calcium (n) by Avogadro's number ($N_{A}$) to find the number of calcium atoms.

$Number.of.Ca=n*N_{A}$      Start with a formula

$= 1.022mol*\frac{6.022*10^{23}Ca}{1mol}$      Substitute values from the question

$= \frac{1.022mol*6.022*10^{23}Ca}{1mol}$           Simplify

$= 1.022*(6.022*10^{23}Ca)$     Cancel out the units "mol"

$= 6.154*10^{24} Ca$                   Multiply, leave one extra digit to help round. "4" tells you to round down.

$= 6.15*10^{24} Ca$                     Final answer to 3 significant figures*

*When multiplying and dividing numbers, your final answer will have the same number of significant figures as the number with the least number of significant figures in the question.

40.08 has 4 significant figures. 41.0 has 3 significant figures. So, you want 3 significant figures in your final answer.

I hope this helps!

Learn more about Avogadro's number here:

brainly.com/question/1445383

Check out another answer that uses significant figures:

brainly.com/question/3721164