Answer: The equilibrium constant for the reaction is 54.47
Step-by-step explanation:
The equilibrium constant is defined as the ratio of the concentration of products to the concentration of reactants raised to the power of the stoichiometric coefficient of each. It is represented by the term
![K_(eq)](https://img.qammunity.org/2022/formulas/chemistry/college/y10ufjaszihanfwljb1sjbh96hjkt7szmi.png)
The given chemical equation follows:
![H_2+I_2\rightleftharpoons 2HI](https://img.qammunity.org/2022/formulas/chemistry/high-school/gma71480rdjr1mpgtubcibm531w7gaq5ns.png)
The expression for equilibrium constant will be:
![K_(eq)=([HI]^2)/([H_2][I_2])](https://img.qammunity.org/2022/formulas/chemistry/high-school/273x1eq9wxdsgxxbiatprri13120il3kf1.png)
We are given:
![[HI]_(eq)=1.3544* 10^(-2)M](https://img.qammunity.org/2022/formulas/chemistry/high-school/gfqaz5gnaoabyqql8donqnzmgebyrsybr7.png)
![[H_2]_(eq)=4.5647* 10^(-3)M](https://img.qammunity.org/2022/formulas/chemistry/high-school/o92rwdbwnby1pu5cod2da8yhd48u37q3rl.png)
![[I_2]_(eq)=7.378* 10^(-4)M](https://img.qammunity.org/2022/formulas/chemistry/high-school/huegsw1cdj349wqqtp4tf4yifr45hci4x9.png)
Putting values in above expression, we get:
![K_(eq)=((1.3544* 10^(-2))^2)/((4.5647* 10^(-3))(7.378* 10^(-4)))\\\\K_(eq)=54.47](https://img.qammunity.org/2022/formulas/chemistry/high-school/daqw1lbedwhpipcasjmolfz4a7cl5ixtr4.png)
Hence, the equilibrium constant for the reaction is 54.47