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The following reaction is performed at 2...

The following reaction is performed at 298K
`2NO(g)+O_2(g)hArr2NO_2(g)`
Standard free energy of formation of NO(g) is `86.6kJ.mol^(-1)` at 298K. What is the standard free energy of formation of `NO_2(g)` at 298K `(K_p=1.6xx10^(12))`

A

`8660-(In(1.6xx10^(12)))/(R(209))`

B

`0.5[2xx86600-R(298)In(1.6xx10^(12))]`

C

`R(298)In(1.6xx10^(12))-86600`

D

`86600+R(298)In(1.6xx10^(12))`

Text Solution

Verified by Experts

`2NO(g)+O_2(g) `/_\G_R^0=2/_\G_(f(NO_2))^0-2/_\G_(F(NO)^0-/_\G_)F(o_2)^0`
`/_\G_r^0=2/_\G_(F(NO_2))^(-2xx86,000)`
`/_\G_r^0=-RTlnK_P`
`2/_\G_(F(NO_2))^0-2xx86,000=-R(298)In(1.6xx10^(12))`
`/_\G_(f(NO_2))^0=(2XX86,600-R(298)In(1.6xx10^(12)))/(2)`
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