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Question 151783: Three chemical reactions each produce oxygen. If the first produces twice that of the second, the third produces twice that of the first, and the combined total is 560 cm^3, what volume is produced by each?: Three chemical reactions each produce oxygen. If the first produces twice that of the second, the third produces twice that of the first, and the combined total is 560 cm^3, what volume is produced by each?
Answer by jojo14344(888) About Me  (Show Source):
You can put this solution on YOUR website!
Note:
CR[1] = 1st chem. rxn
CR[2] = 2nd chem. rxn
CR[3] = 3rd chem. rxn.
O[2] = Oxygen produced by each rxn.
1st condition: CR[1] produces twice that of CR[2]
--------> CR[1]=2O[2]
--------> CR[2]= O[2]
2nd condition: CR[3] produces twice that of CR[1]
--------> CR[3]=2(2O[2])
NOW, equating the 3 values of the chemical rxn that has combined total of 560cc
CR[1]+CR[2]+CR[3]=560cc --------------------> working eqn
2O[2]+O[2]+2(2O[2])=560cc
3O[2]+4O[2]=560cc
cross(7)O[2]/cross(7)=cross(560)80cc/cross(7)
O[2]=80cc ----------------> amount of Oxygen produced by CR[2]
FOR CR[1]= 2O[2]=2*80=160cc
FOR CR[3]= 2(2O[2])=2(2*80)=2(160)=320cc
In doubt? Go back working eqn,
160+80+320=560
560=560, note: cc= cubic centimeter= cm^3
Thank you,
Jojo