Calculate `DeltaG^(Theta)` for the conversion of oxygen to ozone, `((3)/(2)) O_(2)(g) hArr O_(3)(g) at 298 K`, of `K_(p)` for this conversion is `2.47 xx 10^(-29)`.

Options

A. `1.63kJmol^(-1)`
B. `164kJmol^(-1)`
C. `16.3kJmol^(-1)`
D. `1630kJmol^(-1)`

Answer

B

Explanation

Given, temperature, `T=298K and K_(p)=2.47xx10^(-29)`
We know, that
`Delta_(r)G^(ө)=-2.303RTlogK_p`
`thereforeDelta_(r)G^(ө)=-2.303(8.314"JK"^(-1)mol^(-1))xx(298K)(log2.47xx10^(-29))`
`=163000" J "mol^(-1)=163" kJ "mol^(-1)`