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anonymous
 one year ago
A closed container has 2.04 ⋅ 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?
0.34 grams, because (2.04 ⋅ 1.67) ⋅ (1023 ⋅ 10−24) = 3.4068 ⋅ 10−1
0.37 grams, because (2.04 + 1.67) ⋅ (1023 ⋅ 10−24) = 3.71 ⋅ 10−1
3.41 grams, because (2.04 ⋅ 1.67) ⋅ (1023 ⋅ 10−24) = 3.4068
3.71 grams, because (2.04 + 1.67) ⋅ (1023 ⋅ 10−24) = 3.71
anonymous
 one year ago
A closed container has 2.04 ⋅ 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? 0.34 grams, because (2.04 ⋅ 1.67) ⋅ (1023 ⋅ 10−24) = 3.4068 ⋅ 10−1 0.37 grams, because (2.04 + 1.67) ⋅ (1023 ⋅ 10−24) = 3.71 ⋅ 10−1 3.41 grams, because (2.04 ⋅ 1.67) ⋅ (1023 ⋅ 10−24) = 3.4068 3.71 grams, because (2.04 + 1.67) ⋅ (1023 ⋅ 10−24) = 3.71

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Did you mean to write \[10^{23}\]\[10^{24}\] It 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: \[4*10^{2324} = 4*10^{1} = 0.4\] If you put in the calculator (2.04*1.67) * (10^23*10^24) you'll get the exact value.
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