Acetylene, C2H2, can be converted to ethane, C2H6, by a process known as hydrogenation. The reaction is C2H2(g)+2H2(g)?C2H6(g)
Given the following data, what is the value of Kp for this reaction?
Substance ΔG∘f
(kJ/mol)
C2H2(g) 209.2
H2(g) 0
C2H6(g) -32.89

Answer : The  value of for this reaction is,

Explanation :

The given chemical reaction is:

Now we have to calculate value of .

where,

= Gibbs free energy of reaction = ?

n = number of moles

= -32.89 kJ/mol

= 209.2 kJ/mol

Now put all the given values in this expression, we get:

The relation between the equilibrium constant and standard Gibbs, free energy is:

where,

= standard Gibbs, free energy

R = gas constant  = 8.314 J/L.atm

T = temperature  = 298 K

= equilibrium constant = ?

Now put all the given values in this expression, we get:

Thus, the value of for this reaction is,

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