Hello Internet...
I'm trying to solve an equilibrium problem, so far I have tried to employ algebra to calculate the two unknowns. The two equations I know to be true are in red (n.b. there is a typo in the graphic: x-y=1.5, not 15 as written).
Hydrogen and iodine react together and establish equilibrium.
The value of Kp is 64.
Equal amounts of hydrogen and iodine were mixed together. The eqm mixture was found to contain 1.5 moles of iodine.
etc...
. . .x - y = 1.5
. . . . .\(\displaystyle \textrm{K}_p\, =\, \dfrac{\left[\textrm{HI}\right]^2}{\left[\textrm{I}_2\right]\, \left[\textrm{H}_2\right]}\)
. . . . .\(\displaystyle \color{red}{64\, =\, \dfrac{(2y)^2}{(x\, -\, y)(x\, -\, y)}}\)
Can this be solved with some crazy simultaneous equations?
It's been a long day, maybe I'm overthinking the problem or have completely lost the plot. Either way, help me Maths Wizards
I'm trying to solve an equilibrium problem, so far I have tried to employ algebra to calculate the two unknowns. The two equations I know to be true are in red (n.b. there is a typo in the graphic: x-y=1.5, not 15 as written).
Hydrogen and iodine react together and establish equilibrium.
The value of Kp is 64.
Equal amounts of hydrogen and iodine were mixed together. The eqm mixture was found to contain 1.5 moles of iodine.
etc...
H2 | + I2 | \(\displaystyle \rightleftharpoons\, \) 2HI | |
initial | x | x | 0 |
change | -y | -y | +2y |
eqm. | x - y | x - y | +2y |
. . .x - y = 1.5
. . . . .\(\displaystyle \textrm{K}_p\, =\, \dfrac{\left[\textrm{HI}\right]^2}{\left[\textrm{I}_2\right]\, \left[\textrm{H}_2\right]}\)
. . . . .\(\displaystyle \color{red}{64\, =\, \dfrac{(2y)^2}{(x\, -\, y)(x\, -\, y)}}\)
Can this be solved with some crazy simultaneous equations?
It's been a long day, maybe I'm overthinking the problem or have completely lost the plot. Either way, help me Maths Wizards
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