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7 September, 08:02

A closed container has 3.06 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10-24 grams. Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container? 0.47 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10-24) = 4.73 ⋅ 10-1 0.51 grams, because (3.06 ⋅ 1.67) ⋅ (1023 ⋅ 10-24) = 5.1102 ⋅ 10-1 4.73 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10-24) = 4.73 5.11 grams, because (3.06 ⋅ 1.67) ⋅ (1023 ⋅ 10-24) = 5.1102

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  1. 7 September, 08:16
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    Did you mean to write10^2310-^24It can also be written as 10^23 and 10^-24 Since in the problem it is written correctly (2.04 * 10^23) and (1.67 * 10^-24) you can rule out the 2 solutions that have the + sign in it. Which leaves us with (2.04*1.67) * (10^23*10^-24) Without using a calculator we can round and rewrite the problem as (2) (2) (10^23) (10^-24). Which is: 4∗1023-24=4∗10-1=0.4 If you put in the calculator (2.04*1.67) * (10^23*10^-24) you'll get the exact value.
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