`K_(p)` for the conversion of oxygen to ozone at 400 K is `1.0 xx 10^(-30)`its standard Gibbs energy change in kJ `mol^(-1)` is approximately

Options

A. 229.8
B. 114.9
C. `-229.8`
D. `-114.9`

Answer

A

Explanation

Given `k_(p)` for the conversion fo oxygen to ozone at 400 k is `1.0 xx 10^(-30)`
`(Delta G^(@))` standard Gibbs energy change = ?
`Delta G^(@) = RT " in " K_(p ) = 2.30 3RT log _(10) K_(p)`
Here `R = 3.314 J//mol`
`T= 400 k `
`Delta G^(@) = RT log K_(p)`
`=- 8.3 14 xx 400 xx 2.303 xx log 10 ^(-30)`
`=229.765 kJ mol^(-1)`