ws0f10 - CH301Worksheet 0Doing Math Without a Calculator...

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CH301—Worksheet 0—Doing Math Without a Calculator (Hint: It is amazing how much math you can do with a pencil and paper, like long division!!!!, or, more important, by estimating and approximating. For example, watch an experimental scientist at work using just his brain: How many hydrogen atoms are in a can of coke? (Do it in your head.) Answer: 3 x 10 25 atoms of hydrogen in a can of coke Solution: There are 455 ml in a can of coke, which is about 455 grams since coke is mostly water and water has a density of 1 g/ml. 455 g is about 500g. Water weighs about 18 g/mole which is about 20, so there are 500/20 = about 25 moles of water in a can of coke. Which means there are 50 moles of hydrogen in a can of coke (because water has 2 hydrogens). But Avagadro’s number is about 6 x 10 23 , so there are 300 x 10 23 or 3 x 10 25 atoms of hydrogen in a can of coke. Pretty amazing huh? Especially since this is really close to the answer you would get with a calculator, and since both the answer you would get with a calculator and in your head are WRONG anyway given the
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ws0f10 - CH301Worksheet 0Doing Math Without a Calculator...

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