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how many grams are in 3.015x10^23 atoms of calcium

 Feb 16, 2015

Best Answer 

 #1
avatar+109 
+5

I'm feeling lazy today, so I'm not gonna do some grand write-up of how I got the answer. However I'll give you the basics.

 

$$Grams \Leftrightarrow Mols \Leftrightarrow Atoms$$

 

Since you know how many atoms of calcium you have, you'll divide that number by Avogadro's Constant (6.022 x 1023) to deduce the amount of mols of Calcium you have, giving:

 

$${\mathtt{0.516}}{\mathtt{\,\times\,}}{\mathtt{molCa}}$$

 

Checking the periodic table shows us that Calcium has a molar weight of 40.08g/mol Ca. Multiply the number of mols, and it's molar weight, giving:

 

$${\mathtt{0.516}}{\mathtt{\,\times\,}}{\mathtt{molCa}}{\mathtt{\,\times\,}}\left({\frac{\left({\mathtt{40.08}}{\mathtt{\,\times\,}}{\mathtt{gCa}}\right)}{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{molCa}}\right)}}\right) = {\mathtt{20.68}}{\mathtt{\,\times\,}}{\mathtt{gCa}}$$

 

Good luck.

 

Mooooole.

 Feb 16, 2015
 #1
avatar+109 
+5
Best Answer

I'm feeling lazy today, so I'm not gonna do some grand write-up of how I got the answer. However I'll give you the basics.

 

$$Grams \Leftrightarrow Mols \Leftrightarrow Atoms$$

 

Since you know how many atoms of calcium you have, you'll divide that number by Avogadro's Constant (6.022 x 1023) to deduce the amount of mols of Calcium you have, giving:

 

$${\mathtt{0.516}}{\mathtt{\,\times\,}}{\mathtt{molCa}}$$

 

Checking the periodic table shows us that Calcium has a molar weight of 40.08g/mol Ca. Multiply the number of mols, and it's molar weight, giving:

 

$${\mathtt{0.516}}{\mathtt{\,\times\,}}{\mathtt{molCa}}{\mathtt{\,\times\,}}\left({\frac{\left({\mathtt{40.08}}{\mathtt{\,\times\,}}{\mathtt{gCa}}\right)}{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{molCa}}\right)}}\right) = {\mathtt{20.68}}{\mathtt{\,\times\,}}{\mathtt{gCa}}$$

 

Good luck.

 

Mooooole.

Sorasyn Feb 16, 2015

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