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An initial mixture of nitrogen gas and hydrogen gas is reacted in a rigid container at a certain temperature as follows:

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Answer:

The concentration of nitrogen gas and hydrogen gas that reacted initially are 10.0 M and 11.0 M respectively.

Note: The question is incomplete. The complete question is as follows:

An initial mixture of nitrogen gas and hydrogen gas is reacted in a rigid container at a certain temperature as follows:

3H2(g)+N2(g)⇌2NH3(g)

At equilibrium, the concentrations are

[H2] = 5.0 M, [N2] = 8.0 M, and [NH3] = 4.0 M.

What were the concentrations of nitrogen gas and hydrogen gas that were reacted initially?

Explanation:

Given the following data:

Concentration of H2 at equilibrium = 5.0 M

Concentration of N2 at equilibrium = 8.0 M

Concentration of NH3 at equilibrium = 4.0 M

The given equilibrium reaction is,

Initial                    a             b            c

Change                -3x          -x         +2x

Equilibrium         (a-3x)       (b-x)     +2x

The value of x is calculated from the equilibrium of NH3

Concentration of NH3 at equilibrium = 4.0 M  = 2x

x = 2.0 M

Substituting the value of x above

Initial Concentration of H2:

a - 3 × 2.0 M = 5.0 M

a = 6.0 M + 5 = 11.0 M

Initial Concentration of N2:

b - 2.0 M = 8 M

b = 8.0 M + 2.0 M

b = 10.0 M

Therefore, the concentration of nitrogen gas and hydrogen gas that reacted initially are 10.0 M and 11.0 M respectively.