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Pure acid is too be added to a 10% acid solution to obtain 54 L of a 20% acid solution.

fill this in

___L of pure acid solution and ___L of 10% acid solution.

What are the missing amounts from that?

 Jan 7, 2015

Best Answer 

 #1
avatar+23254 
+5

A formula that works for problems like this is:

(Percent)·(Amount)  +  (Percent)·(Amount)  =  (Final Percent)·(Final Amount)

Since the final amount is 54L, the amounts that are combined to make this are:  x  and  54 - x.

Let the amount of pure acid to be x and the amount of the 10% acid solution to be 54 - x.

Pure acid is 100% acid.

(Pure acid) + (10% Solution)  =  (20% solution)

(1.00)(x) + (0.10)(54 - x)  =  (0.20)(54)

        x       +  5.4 - 0.1x  =  10.8

                   0.9x + 5.4  =  10.8

                             0.9x  =  5.4

--->  x = 6 L of pure acid to be added to 48 L of a 10% solution.

 Jan 7, 2015
 #1
avatar+23254 
+5
Best Answer

A formula that works for problems like this is:

(Percent)·(Amount)  +  (Percent)·(Amount)  =  (Final Percent)·(Final Amount)

Since the final amount is 54L, the amounts that are combined to make this are:  x  and  54 - x.

Let the amount of pure acid to be x and the amount of the 10% acid solution to be 54 - x.

Pure acid is 100% acid.

(Pure acid) + (10% Solution)  =  (20% solution)

(1.00)(x) + (0.10)(54 - x)  =  (0.20)(54)

        x       +  5.4 - 0.1x  =  10.8

                   0.9x + 5.4  =  10.8

                             0.9x  =  5.4

--->  x = 6 L of pure acid to be added to 48 L of a 10% solution.

geno3141 Jan 7, 2015

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