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Chemistry Question on Ammonia

Ammonia is synthesized in the Haber process in the following reaction.
𝑁2(𝑔)+3𝐻2(𝑔)2𝑁𝐻3(𝑔)𝑁_2 (𝑔) + 3𝐻_2 (𝑔) → 2𝑁𝐻_3(𝑔)
The temperature above which the reaction becomes spontaneous is __________ 𝐾 (rounded off to one decimal place).
(𝐻0=92.2𝑘𝐽,𝑆0=199𝐽𝐾1\bigtriangleup 𝐻^0 = −92.2 𝑘𝐽, \bigtriangleup 𝑆^0 = −199 𝐽𝐾^{ −1} )

Answer

The Correct answer is :463.0 or 464.0(approx.)