Show all the steps Consider the chemical reaction aC_2H_6 + bCO_2 + cH_2O righta
ID: 3108997 • Letter: S
Question
Show all the steps
Consider the chemical reaction aC_2H_6 + bCO_2 + cH_2O rightarrow dC_2H_5OH, where a, b, c, and d are unknown positive integers. The reaction must be balanced; that is, the number of atoms of each element must be the same before and after the reaction. For example, because the number of oxygen atoms must remain the same, 2 b + c = d. While there are many possible choices for a, b, c, and d that balance the reaction, it is customary to use the smallest possible integers. Balance this reaction.Explanation / Answer
c-2a+b=2d.........1
h-6a+2c=6d..........2
o-2b+c=d..........3
consider 1 and 2
b=2d-2a............4
c=3d-3a................5
from 4 and 5 we get b/2=c/3
3/2(b)=c.........6
from this least possible is b=2
then c=3
put the values in the above equation 3
d=2*2+(3)=7
substitute in eq 1
we get 2(a)+2=(2*7)
2a=14-2
2a=12
a=6
from this we get a=6,b=2,c=3,d=7