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The molar heat of combustion of pentan-1-ol is 2800 kJ mol⁻¹ - HSC - SSCE Chemistry - Question 17 - 2011 - Paper 1

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The molar heat of combustion of pentan-1-ol is 2800 kJ mol⁻¹. A quantity of pentan-1-ol was combusted, generating 108 kJ of heat. What mass of pentan-1-ol was combu... show full transcript

Worked Solution & Example Answer:The molar heat of combustion of pentan-1-ol is 2800 kJ mol⁻¹ - HSC - SSCE Chemistry - Question 17 - 2011 - Paper 1

Step 1

What mass of pentan-1-ol was combusted?

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Answer

To find the mass of pentan-1-ol combusted, first determine the number of moles of pentan-1-ol that corresponds to the generated heat of 108 kJ.

  1. Calculate the moles of pentan-1-ol: The molar heat of combustion is given as 2800 kJ/mol. Using the equation:

    extNumberofmoles=Heat generatedMolar heat of combustion ext{Number of moles} = \frac{\text{Heat generated}}{\text{Molar heat of combustion}}

    Substituting the values:

    Number of moles=108 kJ2800 kJ/mol=0.03857 mol\text{Number of moles} = \frac{108 \text{ kJ}}{2800 \text{ kJ/mol}} = 0.03857 \text{ mol}

  2. Find the mass of pentan-1-ol: The molar mass of pentan-1-ol is approximately 88.15 g/mol. Using the relation:

    extMass=Number of moles×Molar mass ext{Mass} = \text{Number of moles} \times \text{Molar mass}

    extMass=0.03857 mol×88.15 g/mol3.41g ext{Mass} = 0.03857 \text{ mol} \times 88.15 \text{ g/mol} \approx 3.41 g

  3. Conclusion: The closest answer is (D) 3.40 g.

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