What will be the equilibrium constant at 127°C. If equilibrium constant at 27°C is 4 for the reaction N2+3H2⇌2NH3; ∆H=-46.06 kJ(1) 4×10-2(2) 2×10-3(3) 102(4) 4×102
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The question is incomplete.
However.
Given:
Temperature = 27 degree
Equilibrium constant = 4 degree
N2 + 3H2 -> 2NH3
ΔH = -46.06 kJ
To find:
The equilibrium constant at 127 degree
Solution:
By Vant Hoff's equation,
ln ( k2 / k1 ) = Δ H / R ( 1 / T2 - 1 / T1 )
Here,
k1, k2 - Equillibrium constant at 27 and 127
T1, T2 - Temperatues
R = 8.314 J / Mol
Converting,
Celsius to kelvin
Substituting,
We get,
ln ( 4 ) - ln ( at 400 degree) = -46.06 * 10^3 / 8.314 ( 1 / 400 - 1 / 300 )
Solving,
Equilibrium constant at 400 k = 4 * 10^-2
Hence, the equilibrium constant at 127 degree is 4 * 10^-2
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