The partial pressure of `CH_(3)OH_((g))`, `CO_((g))` and `H_(2(g))` in equilibrium mixture for the reaction, `CO_((g))+2H_(2(g))hArrCH_(3)OH_((g))` are `2.0`, `1.0` and `0.1` atm respectively at `427^(@)C`. The value of `K_(P)` for deomposition of `CH_(3)OH` to `CO` and `H_(2)` is:

Options

A. `5xx10^(-3)atm^(-2)`
B. `2xx10^(-2)atm^(-2)`
C. `5xx10^(-2)atm^(2)`
D. `2xx10^(-1)atm^(2)`

Answer

A

Explanation

`K_(p)=(P_(CH_(3)OH))/(P_(CO)xxp_(H_2)^(2)),K_(p)=(2)/(1xx(0.1)^(2))=200atm^(-2)`
For reverse reaction, `K_(p)=(1)/(200)=5xx10^(-3)atm^(-2)`