Answer:
7.44 grams to 3 sig fig
Explanation:
Since 12.01 g of carbon (C) contains 6.02 x 10^23 carbon atoms, we could make this into a conversion factor by making it a ratio.
(12.01g C) = (6.02 x 10^23 C atoms) can be written as:
[(12.01g C)/(6.02 x 10^23 C atoms)] = 1
(by dividing both sides by (6.02 x 10^23 C atoms).
Note that the ratio [(12.01g C)/(6.02 x 10^23 C atoms)] is equal to 1. The ratio is now a conversion factor. We can multiply 1 time anything and it will result in a different, but still correct, value. What does change is the units,
We have 3.73 x 10^25 C atoms and want to find what mass of CF this represents. Use the conversion factor:
(3.73 x 10^25 C atoms)* [(12.01g C)/(6.02 x 10^23 C atoms)]
The change occurs in the units. Note that the unit "C atoms" now cancel out, leaving only g C.
(3.73 x 10^25)* [(12.01g C)/(6.02 x 10^23)]
[(3.73 x 10^25)/(6.02 x 10^23)]
* (12.01g C)
[
(3.73/6.02)*(10^25/10^23)
]*(12/.01g C)
[(3.73/6.02)
*(10^2)
]*(12/.01g C) = 744 grams to 3 sig fig
