Question

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

Answer 1

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 2

Answer : The correct option is,
`5.9* 10^(-2)M`

Solution : Given,

Equilibrium constant = 3.90

Concentration of
`CO` = 0.30 M

Concentration of
`H_2` = 0.10 M

Concentration of
`H_2O` = 0.020 M

The balanced equilibrium reaction will be,

`CO(g)+3H_2(g)\rightleftharpoons CH_4(g)+H_2O(g)`

The expression for equilibrium reaction will be,

`K_p=([H_2O]* [CH_4])/([CO]* [H_2]^3)`

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

`3.90=((0.020)* [CH_4])/((0.30)* (0.10)^3)`

`[CH_4]=0.059=5.9* 10^(-2)M`

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
`(CH_4)` is,
`5.9* 10^(-2)M`