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crosssbow Group Title

create a 3 by3 system of ODE IVP from this problem: Suppose three chemical species are in a process of reaction, where every minute 20% of chemical A becomes chemical B, and 25% of chemical B become chemical C. There is no supply of chemical A. The reaction stops at chemical C. At present, there are 100 grams of chemical A, 20 grams of chemical B, and no chemical C. We are interested in the First 10 minutes of the reaction.

  • 2 years ago
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  1. UnkleRhaukus Group Title
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    so we need to find three equations

    • 2 years ago
  2. crosssbow Group Title
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    yes, i said x , y, and z

    • 2 years ago
  3. crosssbow Group Title
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    x=chem A y=chem B z=chem C

    • 2 years ago
  4. crosssbow Group Title
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    dx/dt=?? dy/dt=??? dz/dt=??

    • 2 years ago
  5. crosssbow Group Title
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    and i believe i know the interval [0,10]

    • 2 years ago
  6. crosssbow Group Title
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    since we are intrested in the first 10 min

    • 2 years ago
  7. UnkleRhaukus Group Title
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    so \[\frac{\text dA}{\text dt}=80\%A\]

    • 2 years ago
  8. crosssbow Group Title
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    why?

    • 2 years ago
  9. UnkleRhaukus Group Title
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    every minute 20% of chemical A becomes chemical B so every minute chemical A becomes 80% of was before

    • 2 years ago
  10. crosssbow Group Title
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    okay, that makes sense, how about for dB/dt?

    • 2 years ago
  11. UnkleRhaukus Group Title
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    every minute 20% of chemical A becomes chemical B, and 25% of chemical B become chemical C

    • 2 years ago
  12. crosssbow Group Title
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    20%A-25%B

    • 2 years ago
  13. UnkleRhaukus Group Title
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    and the last one/

    • 2 years ago
  14. crosssbow Group Title
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    i am not sure , maybe just 25%B??

    • 2 years ago
  15. crosssbow Group Title
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    ?

    • 2 years ago
  16. UnkleRhaukus Group Title
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    i think thats right

    • 2 years ago
  17. crosssbow Group Title
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    okay thanks

    • 2 years ago
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