1 mole of n2 and 3 moles of h2

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1 mole of n2 and three moles of h2 are placed in 1 l vessel. Find the concentration of nh3 at equilibrium if the kc at 400 k is 4/27

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Answer : The concentration of NH_3 at equilibrium is 0.762 mole/L.

Solution : Given,

Volume = 1 L

Temperature = 400 K

Equilibrium constant,  K_c = \frac{4}{27}

The Net balanced chemical reaction is,

                                          N_2+3H_2\rightarrow 2NH_3

Initial concentration           1         2             0

At equilibrium                  (1-x)      (3-3x)      2x

The expression for equilibrium constant is,

K_c=\frac{[NH_3]^2}{[N_2][H_2]^3}

Now put all the values in this expression, we get

\frac{4}{27}= \frac{(2x)^2}{(1-x)(3-3x)^3}

By rearranging the terms, we get the value of 'x'.

x = 0.381 mole/L

The concentration of NH_3 at equilibrium = 2x = 2 × 0.381 = 0.762 mole/L

Therefore, the concentration of NH_3 at equilibrium is 0.762 mole/L.


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