If 32.5 grams of #CaO# are dissolved in 212 grams of water, what is the concentration of the solution in percent by mass?
This can't be answered.
The problem with this question is that you can't really have an aqueous solution of calcium oxide,
#"CaO"_ ((s)) + "H"_ 2"O"_ ((l)) -> "Ca"("OH")_ (2(aq)) + "energy"#
Keep in mind that this reaction is highly exothermic!
So, you can't talk about a solution that contains calcium oxide, which you'll maybe recognize as quicklime, because calcium oxide does not exist as such in aqueous solution, it exists as calcium hydroxide, or slacked lime.
Moreover, you should also keep in mind that calcium hydroxide is not that soluble in water to begin with, so chances are that some calcium hydroxide will precipitate out of the solution.
In your case, you're mixing
#32.5 color(red)(cancel(color(black)("g"))) * "1 mole CaO"/(56.0774color(red)(cancel(color(black)("g")))) = "0.5796 moles CaO"#
and
#212 color(red)(cancel(color(black)("g"))) * ("1 mole H"_2"O")/(18.015color(red)(cancel(color(black)("g")))) = "11.768 moles H"_2"O"#
so the reaction will produce
This is equivalent to
#0.5796 color(red)(cancel(color(black)("moles Ca"("OH")_2))) * "74.093 g"/(1color(red)(cancel(color(black)("mole Ca"("OH")_2)))) = "42.9 g"#
of calcium hydroxide. So your resulting solution will contain
#"11.768 moles " - " 0.5796 moles" = "11.188 moles H"_2"O"#
which is equivalent to
#11.188color(red)(cancel(color(black)("moles H"_2"O"))) * "18.015 g"/(1color(red)(cancel(color(black)("mole H"_2"O")))) = "201.6 g"#
of water and
As a final note, the calcium hydroxide that does dissolve in water will dissociate completely
#"Ca"("OH")_ (2(aq)) -> "Ca"_ ((aq))^(2+) + 2"OH"_ ((aq))^(-)#
which is why calcium hydroxide is considered a strong base.
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The concentration of the solution in percent by mass is 13.3%.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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