SOLUTION: 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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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       Log On


   



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?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Note:
CR%5B1%5D = 1st chem. rxn
CR%5B2%5D = 2nd chem. rxn
CR%5B3%5D = 3rd chem. rxn.
O%5B2%5D = Oxygen produced by each rxn.
1st condition: CR%5B1%5D produces twice that of CR%5B2%5D
--------> CR%5B1%5D=2O%5B2%5D
--------> CR%5B2%5D=+O%5B2%5D
2nd condition: CR%5B3%5D produces twice that of CR%5B1%5D
--------> CR%5B3%5D=2%282O%5B2%5D%29
NOW, equating the 3 values of the chemical rxn that has combined total of 560cc
CR%5B1%5D%2BCR%5B2%5D%2BCR%5B3%5D=560cc --------------------> working eqn
2O%5B2%5D%2BO%5B2%5D%2B2%282O%5B2%5D%29=560cc
3O%5B2%5D%2B4O%5B2%5D=560cc
cross%287%29O%5B2%5D%2Fcross%287%29=cross%28560%2980cc%2Fcross%287%29
O%5B2%5D=80cc ----------------> amount of Oxygen produced by CR%5B2%5D
FOR CR%5B1%5D= 2O%5B2%5D=2%2A80=160cc
FOR CR%5B3%5D= 2%282O%5B2%5D%29=2%282%2A80%29=2%28160%29=320cc
In doubt? Go back working eqn,
160%2B80%2B320=560
560=560, note: cc= cubic centimeter= cm%5E3
Thank you,
Jojo