anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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UnkleRhaukus
  • UnkleRhaukus
so we need to find three equations
anonymous
  • anonymous
yes, i said x , y, and z
anonymous
  • anonymous
x=chem A y=chem B z=chem C

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anonymous
  • anonymous
dx/dt=?? dy/dt=??? dz/dt=??
anonymous
  • anonymous
and i believe i know the interval [0,10]
anonymous
  • anonymous
since we are intrested in the first 10 min
UnkleRhaukus
  • UnkleRhaukus
so \[\frac{\text dA}{\text dt}=80\%A\]
anonymous
  • anonymous
why?
UnkleRhaukus
  • UnkleRhaukus
every minute 20% of chemical A becomes chemical B so every minute chemical A becomes 80% of was before
anonymous
  • anonymous
okay, that makes sense, how about for dB/dt?
UnkleRhaukus
  • UnkleRhaukus
every minute 20% of chemical A becomes chemical B, and 25% of chemical B become chemical C
anonymous
  • anonymous
20%A-25%B
UnkleRhaukus
  • UnkleRhaukus
and the last one/
anonymous
  • anonymous
i am not sure , maybe just 25%B??
anonymous
  • anonymous
?
UnkleRhaukus
  • UnkleRhaukus
i think thats right
anonymous
  • anonymous
okay thanks

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