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The following reaction is performed at 2...

The following reaction is performed at 298 K ?
`2NO(g)+O_(2)(g)hArr2NO_(2)(g)`
The standard free energy of formation of NO(g) is 86.6 kJ/mol at 298 K. What is the standard free energy of formation of `NO_(2)(g)` at 298 K ?
`(K_(p)=1.6xx10^(12))`

A

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

B

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

C

`86600-(ln(1.6xx10^(12)))/(R(298))`

D

`0.5[2xx86,600-R(298)ln(1.6xx10^(12))]`

Text Solution

Verified by Experts

The correct Answer is:
D
`2DeltaG_(f(NO_(2)))^(@)-[2DeltaG_(f(NO))^(@)+DeltaG_(f(O_(2)))^(@)]=DeltaG_(r)^(@)=-RTln K_(P)`
`DeltaG_(f(NO_(2)))^(@)=0.5[2xx86,600-R(298)ln(1.6xx10^(12))]`
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