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CBSE Class 11-science Answered

How many litres of water will have to be added to 1150 liters of the 50% solution of acid so that the resulting mixture will contain more than 30% but less than 35% acid content?
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
Let x litres of water be added.
   30% of (1150 + x) < 50% of 1150 < 35% of (1150 + x)
   
    30(1150 + x) < 50(1150) < 35 (1150 + x)
    34500 + 30x < 57500 < 40250 + 35x
    34500 + 30x < 57500 and 57500 < 40250 + 35x
    30x < 57500 – 34500 and 57500 – 40250 < 35x
    30x < 23000 and 17250 < 35x
   
    x < 766.7 and 492.8 < x
    492.8 < x < 766.7
Hence, Water to be added should lie between 492.8 liters and 766.7 liters
Answered by | 04 Jun, 2014, 03:23: PM

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