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fgiga [73]
3 years ago
8

At a certain temperature, 0.740 mol SO 3 0.740 mol SO3 is placed in a 2.50 L 2.50 L container. 2 SO 3 ( g ) − ⇀ ↽ − 2 SO 2 ( g )

+ O 2 ( g ) 2SO3(g)↽−−⇀2SO2(g)+O2(g) At equilibrium, 0.180 mol O 2 0.180 mol O2 is present. Calculate K c
Chemistry
1 answer:
RSB [31]3 years ago
4 0

Answer: K_c = 0.0046

Explanation:

Moles of  SO_3 = 0.740 mole

Volume of solution = 2.50 L

Initial concentration of SO_3 = \frac{moles}{volume}=\frac{0.740}{2.50}=0.296M

The given balanced equilibrium reaction is,

                            2SO_3(g)\rightleftharpoons 2SO_2(g)+O_2(g)

 Initial conc.      0.296 M                             0M                      0M

 At eqm. conc.     (0.296-2x)M                     (2x) M          (x) M

The expression for equilibrium constant for this reaction will be,

K_c=\frac{[SO_2]^2\times [O_2]}{[SO_3]^2}

Given : moles of O_2 at equilibrium = 0.180M

Concentration of O_2 at equilibrium= \frac{moles}{volume}=\frac{0.180}{2.50}=0.072M

x =  0.072 M

Now put all the given values in this expression, we get :

K=\frac{(2x)^2\times (x)^2}{(0.296-2x)^2}  

K=\frac{(2\times 0.072)^2\times (0.072)^2}{(0.296-2\times 0.072)^2}  

K=0.0046

Thus the value of K_c is 0.0046

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