Answer:
The equilibrium concentration of HF is 7.15 M.
Explanation:
Molarity is calculated by using the equation:
[tex]\text{Molarity}=\frac{\text{Number of moles}}{\text{Volume of solution (in L)}}[/tex]
Moles of Hydrogen gas = 5.750 moles
Volume of container = 1.500 L
[tex][H_2]=\frac{5.750 mol}{1.500 L}=3.833 M[/tex]
Moles of fluorine gas = 5.750 moles
Volume of container = 1.500 L
[tex][F_2]=\frac{5.750 mol}{1.500 L}=3.833 M[/tex]
For the given chemical equation:
[tex]H_2(g)+F_2(g)\rightleftharpoons 2HF(g)[/tex]
Initially
3.833 M 3.833 M 0
At equilibrium:
(3.833-x) M (3.833-x) M 2x
The expression of an equilibrium constant will be given as:
[tex]K_c=\frac{[HF]^2}{[H_2][F_2]}[/tex]
[tex]7.75\times 10^2=\frac{(2x)^2}{(3.833-x)\times (3.833-x)}[/tex]
Solving for x:
x = 3.576 M
The equilibrium concentration of HF :
[tex][HF]=2x=2\times 3.576 M=7.152 M\approx 7.15 M[/tex]