Answer: The value of equilibrium constant for the given reaction is, [tex]7.2\times 10^{-3}[/tex]
Explanation:
The given chemical equation is:
[tex]H_2(g)+Br_2(g)\rightleftharpoons 2HBr(g)[/tex]; [tex]K_p=1.9\times 10^4[/tex]
We need to calculate the equilibrium constant for the chemical equation, which is:
[tex]HBr(g)\rightarrow \frac{1}{2}H_2(g)+\frac{1}{2}Br_2(g)[/tex]; [tex]K_p'=?[/tex]
If the equation is revered then the equilibrium constant will be the reciprocal of the reaction.
If the equation is half then the equilibrium constant will be square-root of the reaction.
The value of equilibrium constant for the given reaction is:
[tex]K_p'=(\frac{1}{K_p})^{1/2}[/tex]
[tex]K_p'=(\frac{1}{1.9\times 10^4})^{1/2}[/tex]
[tex]K_p'=7.2\times 10^{-3}[/tex]
Hence, the value of equilibrium constant for the given reaction is, [tex]7.2\times 10^{-3}[/tex]