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The reaction is at equilibrium at 1,000 K. The equilibrium constant of the reaction is 3.90. At equilibrium, the concentrations are as follows. [CO] = 0.30 M [H2] = 0.10 M [H2O] = 0.020 M What is the equilibrium concentration of CH4 expressed in scientific notation? .0059 5.9 x 10-2 0.059 5.9 x 102

Respuesta :

sherrieasbury19
The reaction is at equilibrium at 1,000 K. The equilibrium constant of the reaction is 3.90. At equilibrium, the concentrations are as follows.

[CO] = 0.30 M
[H2] = 0.10 M
[H2O] = 0.020 M

What is the equilibrium concentration of CH4 expressed in scientific notation?

answer is b

Answer : The correct option is, [tex]5.9\times 10^{-2}M[/tex]

Solution : Given,

Equilibrium constant = 3.90

Concentration of [tex]CO[/tex] = 0.30 M

Concentration of [tex]H_2[/tex] = 0.10 M

Concentration of [tex]H_2O[/tex] = 0.020 M

The balanced equilibrium reaction will be,

[tex]CO(g)+3H_2(g)\rightleftharpoons CH_4(g)+H_2O(g)[/tex]

The expression for equilibrium reaction will be,

[tex]K_p=\frac{[H_2O]\times [CH_4]}{[CO]\times [H_2]^3}[/tex]

Now put all the given values in this expression, we get the concentration of methane.

[tex]3.90=\frac{(0.020)\times [CH_4]}{(0.30)\times (0.10)^3}[/tex]

[tex][CH_4]=0.059=5.9\times 10^{-2}M[/tex]

Scientific notation : It is the way of representation or writing the very large and the small number. In scientific notation, a number is written when a number between 1 and 10 is multiplied by the power of 10.

Therefore, the equilibrium concentration of methane [tex](CH_4)[/tex] is, [tex]5.9\times 10^{-2}M[/tex]

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