A closed container has 3.06 ⋅ 10^23 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) ⋅ (10^23 ⋅ 10^-24) = 4.73 ⋅ 10^–1 0.51 grams, because (3.06 ⋅ 1.67) ⋅(10^23 ⋅ 10^–24) = 5.1102 ⋅ 10^–1 4.73 grams, because (3.06 + 1.67) ⋅ (10^23 ⋅ 10^–24) = 4.73 5.11 grams, because (3.06 ⋅ 1.67) ⋅ (10^23 ⋅ 10^–24) = 5.1102
May I help?
yes
Simple multiplication leads to the total mass of all atoms. "atoms' number*weight of an atom= total mass of the atoms in the container"
\[Total mass=(3.06)10^{23 }*(1.67)10^{–24}=(3.06*1.67)*10^{-1}=0.51102gram\] So the correct choice will be B (0.51)
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