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| quote: | Originally posted by kewlness
The correct answer
5Cu + 12HNO3 -> 5Cu(NO3)2 + 2NO + 6H2O
How I did it:
assign the unknown coefficients as unknowns x1,x2,x3,x4,x5
x1Cu + x2HNO3 -> x3Cu(NO3)2 + x4NO + x5H2O
Now you know that
x1 - x3 = 0 for Copper
x2 - 2x5 = 0 for Hydrogen
3x2 - 6x3 - x4 -x5 = 0 for Oxygen
x2 - 2x3 - x4 = 0 for Nitrogen
Solving for the system of equations (i used linear algebra but you can use any method you want), I got the solutions:
x1= 5/6 t
x2 = 2t
x3= 5/6 t
x4= 1/3 t
x5= t
where t is a parameter
Now you have to choose a value t so that x1,x2,x3,x4,x5 are integers (1,2,3,4,5,6, etc...) while still being in the lowest denominator... The number that fits this category is where t=6
so therefore x1 = 5, x2 = 12 x3 = 5 x4 = 2 x5 = 6
I win. Go get that bonus mark tommorow |
Sorry but your answer is incorrect. 36 oxygen on left, 38 on right.
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