For the reaction,
` 2NO_2 (g) hArr 2NO(g) +O_2(g), `
` (K_c= 1.8 xx 10 ^(-6) at 184^(@) C )`
` (R= 0.0083 kJ) // (" mol K " ) `
When `K_p and K_c ` are compared at `184^(@)C ` it is found that

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)`