Estimate the temperature knowing the following reaction is spontaneous: CH₄(g) + N₂(g) → HCN(g) + NH₃(g)...

Estimate the temperature knowing the following reaction is spontaneous: CH₄(g) + N₂(g) → HCN(g) + NH₃(g) ΔH° = +163.8kJ, ΔS° = +16.1 J/K

Expert Solution

Apply Free energy equation

dG = dH - T*dS

if dG < 0, this will be spontaneous

then

dG = 163.8 - T*(16.1/1000)

and we know this must be less than 0

163.8 - T*(16.1/1000) < 0

163.8 < 0.0161*T

163.8/0.0161 < T

10173.91 < T

that is,

T > 10173 K

T must be pretty high in order to occurs this at STP

queen_honey_blossom answered 2 years ago

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