8. (1 pt) Consider the chemical reaction aN2H4+bN2O4 cN2+dH2O, wherea,b,c,andd a

Question

8. (1 pt) Consider the chemical reaction aN2H4+bN2O4 cN2+dH2O, wherea,b,c,andd areunknownpositiveintegers. Thereaction mush 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, 4b = d. While there are many possible choices for a, b, c, and d that balancethereaction,itiscustomarytousethesmallestpossible integers. Balance this reaction. a =        , b =  ?         , c =   ?          ,d =?

Explanation / Answer

aN2H4+bN2O4 cN2+dH2O

the equation relating a , b , c and d are as follows :

2a + 2b = 2c or    a + b = c    -------(1)
4a = 2d   -----(2)
4b = d   -----(3)

the coefficients need to be the least possible integrers
=> from equation (3)
if d = 4
then b = 1
now use the value of d in equation (2)
=> 4a = 2d = 2*4
=> a = 2
finally plug a = 2 and b = 1 in equation (1) to get the value of c
=> a + b = c
=> c = 3
hence
a=2
b=1
c=3
d=4

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