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The heat of combustion of butan-1-ol is 2676 kJ mol⁻¹ - HSC - SSCE Chemistry - Question 3 - 2005 - Paper 1

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The heat of combustion of butan-1-ol is 2676 kJ mol⁻¹. What is the value of the heat of combustion in kJ g⁻¹? (A) 30.41 (B) 36.10 (C) 44.60 (D) 47.79

Worked Solution & Example Answer:The heat of combustion of butan-1-ol is 2676 kJ mol⁻¹ - HSC - SSCE Chemistry - Question 3 - 2005 - Paper 1

Step 1

Convert heat of combustion from kJ mol⁻¹ to kJ g⁻¹

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Answer

To convert the heat of combustion of butan-1-ol from kJ mol⁻¹ to kJ g⁻¹, we need to know the molar mass of butan-1-ol.

  1. Determine the molecular formula of butan-1-ol, which is C₄H₉OH.

  2. Calculate the molar mass:

    • Carbon (C): 4 × 12.01 g/mol = 48.04 g/mol
    • Hydrogen (H): 10 × 1.008 g/mol = 10.08 g/mol
    • Oxygen (O): 1 × 16.00 g/mol = 16.00 g/mol
    • Total molar mass = 48.04 + 10.08 + 16.00 = 74.12 g/mol
  3. Now, convert the heat of combustion:

    • Heat of combustion = 2676 kJ/mol
    • Heat of combustion in kJ/g = ( rac{2676 ext{ kJ/mol}}{74.12 ext{ g/mol}})
  4. Perform the calculation:

    • ( rac{2676}{74.12} \approx 36.10) kJ g⁻¹

Thus, the value of the heat of combustion in kJ g⁻¹ is approximately 36.10. Therefore, the correct answer is (B) 36.10.

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