Unit conversions, AP Chemistry. please help!
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Unit conversions, AP Chemistry. please help!

[From: ] [author: ] [Date: 11-09-04] [Hit: ]
489 kg of sodium hydrogen carbonate. Express this mass in milligrams.the answer is : 4.80 x(times) 10 to the 5th power, but i have no idea how to get the answer! if you could explain it in words only or even just do one step thatd be great.......
10th grade AP chem. if anyone could help that'd be awesome.

Sodium hydrogen carbonate, known commercially as baking soda, reacts with acidic materials such as vinegar to release carbon dioxide gas. An experiment calls for 0.489 kg of sodium hydrogen carbonate. Express this mass in milligrams.

the answer is : 4.80 x(times) 10 to the 5th power, but i have no idea how to get the answer! if you could explain it in words only or even just do one step that'd be great. any help is appreciated! thank you(:

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Explanation:

A kilogram is 10 to the third power grams and a milligram is 10 to the -3 power of a gram (or 1 gram = 1000mg). Use dimensional analysis to solve:

0.489 kg x (10 to the 3rd power grams/1kg) x (1000mg/1 gram) =

See how the units cancel out! Cool stuff!

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The ratio of kg:mg is 1 kg:1,000,000 mg.

So, multiply 0.489 kg by the ratio: (0.489 kg)*(1kg/1,000,000mg)

And get 489,000, which is 4.89*10^5.

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4.80 x (10^5) = 480 000
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