Answer : The value of
of the reaction is 10.5 and the reaction is product favored.
Explanation : Given,
Moles of
at equilibrium = 0.0406 mole
Moles of
at equilibrium = 0.170 mole
Moles of
at equilibrium = 0.302 mole
Volume of solution = 2.00 L
First we have to calculate the concentration of
at equilibrium.
![\text{Concentration of }CH_3OH=\frac{\text{Moles of }CH_3OH}{\text{Volume of solution}}=\frac{0.0406mole}{2.00L}=0.0203M](https://tex.z-dn.net/?f=%5Ctext%7BConcentration%20of%20%7DCH_3OH%3D%5Cfrac%7B%5Ctext%7BMoles%20of%20%7DCH_3OH%7D%7B%5Ctext%7BVolume%20of%20solution%7D%7D%3D%5Cfrac%7B0.0406mole%7D%7B2.00L%7D%3D0.0203M)
![\text{Concentration of }CO=\frac{\text{Moles of }CO}{\text{Volume of solution}}=\frac{0.170mole}{2.00L}=0.085M](https://tex.z-dn.net/?f=%5Ctext%7BConcentration%20of%20%7DCO%3D%5Cfrac%7B%5Ctext%7BMoles%20of%20%7DCO%7D%7B%5Ctext%7BVolume%20of%20solution%7D%7D%3D%5Cfrac%7B0.170mole%7D%7B2.00L%7D%3D0.085M)
![\text{Concentration of }H_2=\frac{\text{Moles of }H_2}{\text{Volume of solution}}=\frac{0.302mole}{2.00L}=0.151M](https://tex.z-dn.net/?f=%5Ctext%7BConcentration%20of%20%7DH_2%3D%5Cfrac%7B%5Ctext%7BMoles%20of%20%7DH_2%7D%7B%5Ctext%7BVolume%20of%20solution%7D%7D%3D%5Cfrac%7B0.302mole%7D%7B2.00L%7D%3D0.151M)
Now we have to calculate the value of equilibrium constant.
The balanced equilibrium reaction is,
![CO(g)+2H_2(g)\rightleftharpoons CH_3OH(g)](https://tex.z-dn.net/?f=CO%28g%29%2B2H_2%28g%29%5Crightleftharpoons%20CH_3OH%28g%29)
The expression of equilibrium constant
for the reaction will be:
![K_c=\frac{[CH_3OH]}{[CO][H_2]^2}](https://tex.z-dn.net/?f=K_c%3D%5Cfrac%7B%5BCH_3OH%5D%7D%7B%5BCO%5D%5BH_2%5D%5E2%7D)
Now put all the values in this expression, we get :
![K_c=\frac{(0.0203)}{(0.085)\times (0.151)^2}](https://tex.z-dn.net/?f=K_c%3D%5Cfrac%7B%280.0203%29%7D%7B%280.085%29%5Ctimes%20%280.151%29%5E2%7D)
![K_c=10.5](https://tex.z-dn.net/?f=K_c%3D10.5)
Therefore, the value of
of the reaction is, 10.5
There are 3 conditions:
When
; the reaction is product favored.
When
; the reaction is reactant favored.
When
; the reaction is in equilibrium.
As the value of
. So, the reaction is product favored.