For the reaction `2NO_(2)(g) hArr 2NO(g)+O_(2)(g)`
`K_(c)=1.8xx10^(-6)` at `184^(@)C, R=0.00831 kJ //` ( mol.K) when `K_(p)` and `K_(c)` are compared at `184^(@)C`, it is found

Options

A. Whether Kp is greater than less than or equal to Kc depends upon the total gas pressure
B. Kp = Kc
C. Kp is less than Kc
D. Kp is greater than Kc

Answer

D

Explanation

`2NO_(2)(g) rarr 2NO(g) + O_(2)(g)`
`K_(c) = 1.8 xx 10^(-6) at 184^(@)C (= 457 K)`
`R = 0.00831 Kjmol^(-1)K^(-1)`
`K_(p) = K_(c)(RT)^(Deltan_(g))` where, `Deltan_(g) = `(gaseous product - gaseous reactants) =` 3 - 2 = 1`
` K_(p) = 1.8 xx 10^(-6) xx 0.00831 xx 457 = 6.836 xx 10^(-6)>1.8 xx 10^(-6).` Thus ` K_(g)>K_(c)`