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anonymous

  • one year ago

Please help........... Suppose we start with unlimited supplies of a 20% h2so4 solution and of a 50% h2so4 solution. We combine x liters of the first with y liters of the second to produce 7 liters of a 40% h2so4 solution. What does x equal?

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  1. welshfella
    • one year ago
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    work in masses of pure sulphuric acid the mass of acid in 40% solution is 7 * 10 * 40 = 2800g

  2. anonymous
    • one year ago
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    2.8?

  3. welshfella
    • one year ago
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    x liters of 20% contains 200x g y liters of 50% = 500y g

  4. welshfella
    • one year ago
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    so 200x + 500y = 2800

  5. anonymous
    • one year ago
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    yea

  6. anonymous
    • one year ago
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    whats next

  7. welshfella
    • one year ago
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    now we need to find y in terms of x. Note that the 50% solution i s 5/2 = 2.5 times as strong as the 20% So y liters of 50% = how many liters of 20%?

  8. anonymous
    • one year ago
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    where did u get the 5/2?

  9. welshfella
    • one year ago
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    the ratio of 50/20 = 2/2

  10. welshfella
    • one year ago
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    * 5/2

  11. anonymous
    • one year ago
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    oh okay

  12. welshfella
    • one year ago
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    so y liters of 50% = 2.5x liters of 20%

  13. anonymous
    • one year ago
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    yea

  14. welshfella
    • one year ago
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    200x + 500*2.5x = 2800 solve for x

  15. anonymous
    • one year ago
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    1.93?

  16. welshfella
    • one year ago
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    yes

  17. anonymous
    • one year ago
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    hmmmm it's supposed to be 2.33333333

  18. welshfella
    • one year ago
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    oh yes I've gone wrong somewhere

  19. welshfella
    • one year ago
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    something wrong in my logic somewhere

  20. dumbcow
    • one year ago
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    set up 2 equations... x + y = 7 20x + 50y = (40)(7)

  21. welshfella
    • one year ago
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    yep thats the way

  22. anonymous
    • one year ago
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    hmmm and then plug it in huh? y=7-x

  23. dumbcow
    • one year ago
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    yes

  24. anonymous
    • one year ago
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    got it thanx

  25. welshfella
    • one year ago
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    yea thats an easier way to do it. I still can't see what i did wrong . Worrying !

  26. welshfella
    • one year ago
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    i see now!

  27. welshfella
    • one year ago
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    200x + 500y = 2800 was correct then next step was to replace y with 7 - x

  28. welshfella
    • one year ago
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    - that is y in tems of x.

  29. welshfella
    • one year ago
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    I had a mental aberration!

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