Answer:
= 0.0046
Step-by-step explanation:
Moles of
= 0.740 mole
Volume of solution = 2.50 L
Initial concentration of
=

The given balanced equilibrium reaction is,

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=([SO_2]^2* [O_2])/([SO_3]^2)](https://img.qammunity.org/2021/formulas/chemistry/college/925w4hq6g4h9kts0mkrv3f83wkiwkkj8os.png)
Given : moles of
at equilibrium = 0.180M
Concentration of
at equilibrium=

x = 0.072 M
Now put all the given values in this expression, we get :

Thus the value of
is 0.0046