In a hypothetical reaction X ⟶ Y, the activation energy for the forward and backward reaction is 15 and 9 kJ mol⁻¹ respectively. The potential energy of X is 10 kJ mol⁻¹.

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E a c t ( F or w a r d ) ​ = 15 k J m o l − 1 , E a c t ( B a c k w a r d ) ​ = 9 k J m o l − 1 E t h ​ = E re a c t an t ​ + E a c t ( F or w a r d ) ​ = 10 k J m o l − 1 + 15 k J m o l − 1 = 25 k J m o l − 1 E p ro d u c t ​ = E t h ​ – E a c t ( B a c k w a r d ) ​ = 25 k J m o l − 1 –9 k J m o l − 1 = 16 k J m o l − 1 Δ E = E p ro d u c t s ​ – E re a c t an t s ​ = ( 16–10 ) k J m o l − 1 = 6 k J m o l − 1 As Δ E (or Δ H ) is positive, the reaction is endothermic.

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