87,161 views
28 votes
28 votes
How many grams of rubidium are in 2.39 x 1024 atoms of rubidium? the answer i put in for this question was wrong

How many grams of rubidium are in 2.39 x 1024 atoms of rubidium? the answer i put-example-1
User Tafsir Ahamed
by
2.4k points

1 Answer

24 votes
24 votes

Answer:

339 g of Rb.

Step-by-step explanation:

First, we have to convert 2.39 x 10²⁴ atoms of rubidium (Rb) using Avogadro's number which is 6.022 x 10²³ atoms/mol. The conversion will look like this:


2.39\cdot10^(24)\text{ atoms Rb}\cdot\frac{1\text{ mol}}{6.022\cdot10^(23)\text{ atoms}}=3.968\text{ moles Rb}\approx3.97\text{ moles Rb,}

and now, let's convert this to grams using the molar mass of Rb which is 85.5 g/mol:


3.97\text{ moles Rb}\cdot\frac{85.5\text{ g Rb}}{1\text{ mol Rb}}=339.4\text{ g Rb}\approx339\text{ g Rb.}

With correct significant figures (3 significant figures), the answer would be 339 g of Rb.