For a rxn
A+B--2C+2D, Kp=1.2×10^3kPa at 450k.calculate the value of Kc in mol/l.
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Kc and Kp are the equilibrium constant of a gaseous mixture. Kc is molar concentration and Kp is partial pressure of a gas inside a closed system.
For the given reaction,
A+B---2C+2D
Given, Kp=1.2×10³kPa=1.2×10³×10³Pa
=1.2×10⁶Pa=1.2×10⁶×9.869×10⁻⁶atm=11.8atm
And the temperature, T=450k
R=0.082.6 L atm/mol K
For this reaction, Δn=n₁-n₂=4-2=2
The relation between Kp and Kc is,
Kp=Kc(RT)Δn
⇒11.8=Kc(0.0820×450)²
⇒11.8=Kc(86.927)²
⇒Kc≅0.009 mol/L
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