Question 153543: How many kilograms of water must be evaporated from 50 kg of a 10% salt solution to obtain a 15% salt solution? Found 2 solutions by stanbon, ankor@dixie-net.com:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! How many kilograms of water must be evaporated from 50 kg of a 10% salt solution to obtain a 15% salt solution?
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EQUATION:
salt: 0.10*50 -0*x = 0.15(50-x)
Multiply thru by 100 to get rid of the decimals:
10*50 = 15(50-x)
500 = 750 - x
x = 250 kg (amount of water that must be evaporated)
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Notice that this answer makes no sense; you cannot evaporate
250 kg when you only have 50 kg.
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Why the nonsense?
Notice that you started with a 10% solution, evaporated water,
and ended up with a 15% solution. That cannot happen.
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Cheers,
Stan H.
You can put this solution on YOUR website! How many kilograms of water must be evaporated from 50 kg of a 10% salt solution to obtain a 15% salt solution?
:
Let x = amt of water to be evaporated
:
The amt of salt remains the same, only the per cent changes, as water is removed
.10(50) = .15(50-x)
:
5 = 7.5 - .15x
:
+.15x = 7.5 - 5
:
.15x = 2.5
x =
x = 16 kg to be evaporated
:
:
Check soluton
.1(50) = .15(50-16.67)
5 = .15(33.33)
5 = 4.9995 ~ 5
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