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The following reaction is performed at 2...

The following reaction is performed at 298K
`2NO(g) + O_(2)(g) hArr 2NO_(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 formation of `NO_(2)(g) "at" 298`? `(K_(p) = 1.6 xx 10^(12))`

A

R(298) in `(1.6 xx 10^(12))` -86600

B

86600 + R(298) In `(1.6xx 10^(12))`

C

`86600 -("In" (1.6 xx 10^(12)))/(R(298))`

D

`0.5 [2 xx 86,600 -R(298) "In" (1.6 xx 10^(12))]`

Text Solution

Verified by Experts

The correct Answer is:
D
`2DeltaG_(f(NO_(2)))^(@) -[2DeltaG_(f(NO))^(@)+DeltaG_(f(O_(2)))^(@)] = DeltaG_(r)^(@) =- RTlnK_(p)`
`2DeltaG_(f(NO_(2))^(@) -[2xx 86,600+0] =- RTlnK_(p)`
`DeltaG_(f(NO_(2))^(@) = 0.5[2xx86,600-R(298) ln(1.6 xx 10^(12))]`
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