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Ge(s) + 2H2(g) ----- GeH4 (g) a) given the equilibrium constant for the reaction

ID: 791779 • Letter: G

Question

Ge(s) + 2H2(g) ----- GeH4 (g)                


                    a) given the equilibrium constant for the reaction is K=2.22 x 10^-4, calculate the concentrations of germane and hydrogen gas at equilibrium if the reaction                    started with 1.00 atm hydrogen and you have excess Ge Solid Hint: you can use the approximation method for math since Ph2>100 Kp, e.g. the final pressure of                    the H2 is ~1.00 atm since very little forward reaction takes place.                


                            2H2(g)                    GeH4(g)

               

                    Initial                     1.00                        0.00                


                    Change                


                    final                


                    answer                


                    b) analysis of the data from above shows that the reaction produces a very low yield of product. Given the high cost of Ge, this is a remedy to the situation.                    Instead of starting with 1.00 atm hydrogen, start with 100.00 atm hydrogen. Now calculate the amount of germane product at equilibrium. discuss how an excess                    of the very cheap ingredient H2(g) can cause a dramatic effect on the amount of the expensive product.                


                                                2H2(g)            GeH4(g)

               

                    Initial                     100.00              0.00                


                    Change                


                    final

Explanation / Answer

a)since the Ge is in solid state, it wont figure in the equailibrium equation so,

K=[GeH4]/[H2]^2

so let the dissociation be x.so,

K=x/(1-2x)^2

or x/(1-2x)^2=2.22*10^-4

or x=2.218*10^-4 atm

so,

Pressure of H2=1-2*2.18*10^-4

~1 atm


pressure of GeH4=x

=2.18*10^-4 atm


b)since the Ge is in solid state, it wont figure in the equailibrium equation so,

K=[GeH4]/[H2]^2

so let the dissociation be x.so,

K=x/(100-2x)^2

or x/(100-2x)^2=2.22*10^-4

or x=2.04 atm

so,

Pressure of H2=100-2*2.04

=95.92 atm

pressure of GeH4=x

=2.04 atm