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Question

For the following gases equilibrium N2O4(g)2NO2(g)
KP is found to be equal to KC. This is attained when :

A
0oC
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B
273 K
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C
1 K
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D
12.19 K
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Solution

The correct option is D 12.19 K
Kc and Kp are the equilibrium constants of gaseous mixtures. However, the difference between the two constants is that Kc is defined by molar concentrations, whereas Kp is defined by the partial pressures of the gasses inside a closed system. The equilibrium constants do not include the concentrations of single components such as liquids and solid, and they do not have any units.

The relation between the two constants is given by Kp=Kc×(RT)Δn, where Δn is (Total moles of gas on the products side) - (Total moles of gas on the reactants side).
Hence in the given question Δn=21=1.
In question,the given condition is Kp is found to be equal to Kc
Kp=Kc×(0.0821T)1T=10.0821=12.19K

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