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 `K_(p)` is greater than, less than or equal to `K_(c)` depends upon the total gas pressure
B. `K_(p)=K_(c)`
C. `K_(p)` is less than `K_(c)`
D. `K_(p)` is greater than `K_(c)`

Answer

D

Explanation

For the reaction :- `2NO_(2)(g)hArr2NO(g)+O_(2)(g)`
Given `K_(c)=1.8xx10^(-6)" at "184^(@)C`
R=0.0831 KJ/mol K
`K_(p)=K_(c)(RT)^(Deltan_(g))`
`K_(p)=1.8xx10^(-6)xx0.0831xx457=6.836xx10^(-5)`
`[:.184^(@)C=(273+184)=457K,Delta,Deltan=(2+1,-1)=1]`
Hence it is clear that `K_(p)gtK_(c)`