Consider the chemical equation 2NH3 ? N2 + 3H2. the equilibrium is to be established in...

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Chemistry

Consider the chemical equation 2NH3 ? N2 + 3H2. the equilibriumis to be established in a 1 liter container at 1,000 K, where Kc=4.0*^-2. Initially1,220 moles of NH3 are present. Estimateequilibrium concentration of H2.

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Solution

Given data

Kc =4.0*10-2

Initial moles of NH3 = 1220

Equilibrium concentration of H2= ?

Lets make the ICE table

    2NH3 ------ > N2 + 3H2

I   1220 M              0              0             

C   -2x                     +x            +3x

E   1220-x               x              3x

Lets write the equilibrium constant expression

Kc =[N2][H2]3/[NH3]2

Now lets out the values in the formula

4.0*10-2 = [x][3x]3/[1220-2x]2

4.0*10-2 *[1220-2x]2=[x][3x]3

By solving this equation we get

X= 1.16

Therefore the equilibrium concentration of H2 = 3x = 3*1.16 = 3.48 M


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