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An experiment was carried out to determine the enthalpy of combustion of propan-1-ol - VCE - SSCE Chemistry - Question 18 - 2020 - Paper 1

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An experiment was carried out to determine the enthalpy of combustion of propan-1-ol. Combustion of 557 mg of propan-1-ol increased the temperature of 150 g of water... show full transcript

Worked Solution & Example Answer:An experiment was carried out to determine the enthalpy of combustion of propan-1-ol - VCE - SSCE Chemistry - Question 18 - 2020 - Paper 1

Step 1

Calculate the heat absorbed by water (q)

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Answer

First, calculate the change in temperature (ΔT) of the water:

ΔT=TfinalTinitial=40.6°C22.1°C=18.5°CΔT = T_{final} - T_{initial} = 40.6 °C - 22.1 °C = 18.5 °C

Next, calculate the heat absorbed (q) using the formula:

q=mcΔTq = mcΔT

where:

  • m = mass of water = 150 g
  • c = specific heat capacity of water = 4.18 J/g°C

Thus,

q=150g×4.18J/g°C×18.5°C=11648.5Jq = 150 \, \text{g} \times 4.18 \, \text{J/g°C} \times 18.5 \, °C = 11648.5 \, \text{J}

Convert this to kJ:

q=11648.5J1000=11.6485kJq = \frac{11648.5 \, \text{J}}{1000} = 11.6485 \, \text{kJ}

Step 2

Calculate the moles of propan-1-ol combusted

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Answer

First, convert 557 mg of propan-1-ol to grams:

557mg=0.557g557 \, \text{mg} = 0.557 \, \text{g}

Next, calculate the molar mass of propan-1-ol (C₃H₈O):

  • C: 12.01 g/mol × 3 = 36.03 g/mol
  • H: 1.008 g/mol × 8 = 8.064 g/mol
  • O: 16.00 g/mol × 1 = 16.00 g/mol

Total molar mass = 36.03 + 8.064 + 16.00 = 60.094 g/mol

Now, calculate moles of propan-1-ol:

n=massmolarmass=0.557g60.094g/mol=0.00926moln = \frac{mass}{molar \, mass} = \frac{0.557 \, \text{g}}{60.094 \, \text{g/mol}} = 0.00926 \, \text{mol}

Step 3

Calculate the enthalpy of combustion (ΔH)

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Answer

Finally, use the heat absorbed by water and the moles of propan-1-ol to find the enthalpy change:

ΔH=qn=11.6485kJ0.00926mol=1250kJ/molΔH = -\frac{q}{n} = -\frac{11.6485 \, \text{kJ}}{0.00926 \, \text{mol}} = -1250 \, \text{kJ/mol}

Therefore, the enthalpy of combustion is closest to -1250 kJ mol⁻¹.

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