Answer: Concentration of HI is present at equilibrium is 1.26 M
Explanation:
Moles of [tex]H_2[/tex] = 0.800 mole
Moles of [tex]I_2[/tex] = 0.800 mole
Volume of solution = 1.00 L
Initial concentration of [tex]H_2[/tex] = 0.800 M
Initial concentration of [tex]I_2[/tex] = 0.800 M
The given balanced equilibrium reaction is,
[tex]H_2(g)+I_2(g)\rightleftharpoons 2Hl(g)[/tex]
Initial conc. 0.800 0.800 0
At eqm. conc. (0.800-x) M (0.800-x) M (2x) M
The expression for equilibrium constant for this reaction will be,
[tex]K_c=\frac{[HI]^2}{[H_2]\times [l_2]}[/tex]
Now put all the given values in this expression, we get :
[tex]53.3=\frac{(2x)^2}{(0.800-x)^2}[/tex]
By solving the term 'x', we get :
x = 0.63
Concentration of [tex]HI[/tex] at equilibrium = 2 x = [tex]2\times 0.63=1.26[/tex]
Concentration of HI is present at equilibrium is 1.26 M