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

Answer

A

Explanation

`2NO_(2)(g) hArr 2NO(g)+O_(2)(g)`
`Deltan_(g)=2+1-1=1,K_(c )=1.8xx10^(-6)`
`T=184^(@)C =184+273=457K`
`R=0.00831kJ //(mol K)`
`=8.31J K^(-1) mol^(-1)`
`=0.0821 L atm K^(-1) mol^(-1)`
`K_(p)=K_(c)(RT)^(Deltan_(g))`
`K_(p)=1.8xx10^(-6)(0.0821)xx457)`
`=1.8xx10^(-6)xx37.52`
`=67.53xx10^(-6) gt K_(c )`