ive been stuck on this for a while now
What will be the equilibrium number of moles of the following different species in the reaction below? The equilibrium constant, K, is 470 and the starting number of moles are given below.
h2 + 12 ---> 2HI
Formation of HI from elements
H2: 2
I2: 2
HI: 10
so the change for h2 and 12 will be 2-x...and for HI it would be 10+ 2x
so i thought
470= 10+ 2x(squared) / (2-x) (2-x)
and then i cross multiplied etc to get
470x (squared) - 1880 + 1880x= 10 + 4x
i did my quadratic eqaution and got
470x(squared) - 1876x + 1870=0
im hopeless as alegbra,and quadratic eqautions
i got the wrong answer when i did this
because the right answer for the moles at equilibrium is
HI: 10.6364 moles
H2: 1.6828 moles
I2: 1.6828 moles
so can anyone pleas help,and attempt this..because i think my algrebra has gone wrong..evidently
much appreciated