When A reacts with B, the reaction produces C and D (reaction 1): 3A₍ₛ₎ + B₍ₗ₎ → 2C₍ₗ₎ + D₍ₛ₎ But when A reacts with C, the reaction produces B and D (reaction 2): 2A₍ₛ₎ + 2C₍ₗ₎ → 3B₍ₗ₎ + 2D₍ₛ₎ The heat of formation (at standard state) for A₍ₛ₎ is not available in any literature; however, the heat of formation (at standard state) for B, C, and D is available: B₍ₗ₎ = 600 kJ/mol C₍ₗ₎ = 950 kJ/mol D₍ₛ₎ = -100 kJ/mol Experiment shows that the heat of reaction of reaction 2 is thrice the amount of the heat of reaction of reaction 1 (say, heat of reaction of reaction 2 is 9, therefore, heat of reaction of reaction 1 is 3). Determine the heat of formation (at standard state) of A₍ₛ₎ (in kJ/mol).

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When A reacts with B, the reaction produces C and D (reaction 1):

3A₍ₛ₎ + B₍ₗ₎ → 2C₍ₗ₎ + D₍ₛ₎

But when A reacts with C, the reaction produces B and D (reaction 2):

2A₍ₛ₎ + 2C₍ₗ₎ → 3B₍ₗ₎ + 2D₍ₛ₎

The heat of formation (at standard state) for A₍ₛ₎ is not available in any literature; however, the heat of formation (at standard state) for B, C, and D is available:

B₍ₗ₎ = 600 kJ/mol
C₍ₗ₎ = 950 kJ/mol
D₍ₛ₎ = -100 kJ/mol

Experiment shows that the heat of reaction of reaction 2 is thrice the amount of the heat of reaction of reaction 1 (say, heat of reaction of reaction 2 is 9, therefore, heat of reaction of reaction 1 is 3).

Determine the heat of formation (at standard state) of A₍ₛ₎ (in kJ/mol).

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