The given question is incomplete. The complete question is :
Carbon tetrachloride can be produced by the following reaction:
![CS_2(g)+3Cl_2(g)\rightleftharpoons S_2Cl_2(g)+CCl_4(g)](https://tex.z-dn.net/?f=CS_2%28g%29%2B3Cl_2%28g%29%5Crightleftharpoons%20S_2Cl_2%28g%29%2BCCl_4%28g%29)
Suppose 1.20 mol
of and 3.60 mol of
were placed in a 1.00-L flask at an unknown temperature. After equilibrium has been achieved, the mixture contains 0.72 mol of
. Calculate equilibrium constant at the unknown temperature.
Answer: The equilibrium constant at unknown temperature is 0.36
Explanation:
Moles of
= 1.20 mole
Moles of
= 3.60 mole
Volume of solution = 1.00 L
Initial concentration of
= ![\frac{moles}{volume}=\frac{1.20mol}{1L}=1.20M](https://tex.z-dn.net/?f=%5Cfrac%7Bmoles%7D%7Bvolume%7D%3D%5Cfrac%7B1.20mol%7D%7B1L%7D%3D1.20M)
Initial concentration of
= ![\frac{moles}{volume}=\frac{3.60mol}{1L}=3.60M](https://tex.z-dn.net/?f=%5Cfrac%7Bmoles%7D%7Bvolume%7D%3D%5Cfrac%7B3.60mol%7D%7B1L%7D%3D3.60M)
The given balanced equilibrium reaction is,
![CS_2(g)+3Cl_2(g)\rightleftharpoons S_2Cl_2(g)+CCl_4(g)](https://tex.z-dn.net/?f=CS_2%28g%29%2B3Cl_2%28g%29%5Crightleftharpoons%20S_2Cl_2%28g%29%2BCCl_4%28g%29)
Initial conc. 1.20 M 3.60 M 0 0
At eqm. conc. (1.20-x) M (3.60-3x) M (x) M (x) M
The expression for equilibrium constant for this reaction will be,
![K_c=\frac{[S_2Cl_2]\times [CCl_4]}{[Cl_2]^3[CS_2]}](https://tex.z-dn.net/?f=K_c%3D%5Cfrac%7B%5BS_2Cl_2%5D%5Ctimes%20%5BCCl_4%5D%7D%7B%5BCl_2%5D%5E3%5BCS_2%5D%7D)
Now put all the given values in this expression, we get :
![K_c=\frac{(x)\times (x)}{(3.60-3x)^3\times (1.20-x)}](https://tex.z-dn.net/?f=K_c%3D%5Cfrac%7B%28x%29%5Ctimes%20%28x%29%7D%7B%283.60-3x%29%5E3%5Ctimes%20%281.20-x%29%7D)
Given :Equilibrium concentration of
, x = ![\frac{moles}{volume}=\frac{0.72mol}{1L}=0.72M](https://tex.z-dn.net/?f=%5Cfrac%7Bmoles%7D%7Bvolume%7D%3D%5Cfrac%7B0.72mol%7D%7B1L%7D%3D0.72M)
![K_c=\frac{(0.72)\times (0.72)}{(3.60-3\times 0.72)^3\times (1.20-0.72)}](https://tex.z-dn.net/?f=K_c%3D%5Cfrac%7B%280.72%29%5Ctimes%20%280.72%29%7D%7B%283.60-3%5Ctimes%200.72%29%5E3%5Ctimes%20%281.20-0.72%29%7D)
![K_c=0.36](https://tex.z-dn.net/?f=K_c%3D0.36)
Thus equilibrium constant at unknown temperature is 0.36