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Question 40

This question is about enthalpy changes of reactions involving hydrocarbons.

a.

A student determines the enthalpy change of combustion, ΔcH\Delta_{\text{c}}HΔc​H, of octane, C8H18\text{C}_8\text{H}_{18}C8​H18​, using the following method:

  • Add 200 g of water to a beaker and measure its initial temperature.
  • Weigh a spirit burner containing octane, and use it to heat the water.
  • Extinguish the flame and record the maximum temperature reached by the water.
  • Reweigh the spirit burner.

The temperature of the water increased by 14.5 ∘C14.5\text{ }^\circ\text{C}14.5 ∘C.

The spirit burner decreased in mass by 0.250 g.

Use the student's results to determine the enthalpy change of combustion of octane, ΔcH(C8H18)\Delta_{\text{c}}H(\text{C}_8\text{H}_{18})Δc​H(C8​H18​), in kJ mol−1\text{kJ mol}^{-1}kJ mol−1. Assume the specific heat capacity of water is 4.18 J g-1 K-1.

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b.

Decane, C10H22\text{C}_{10}\text{H}_{22}C10​H22​, can be broken down by heat to form hexane, C6H14\text{C}_6\text{H}_{14}C6​H14​, and ethene, C2H4\text{C}_2\text{H}_4C2​H4​:

C10H22(g)→C6H14(g)+2C2H4(g)ΔH=+194 kJ mol−1Reaction 1 \text{C}_{10}\text{H}_{22}(\text{g}) \to \text{C}_6\text{H}_{14}(\text{g}) + 2\text{C}_2\text{H}_4(\text{g}) \quad \Delta H = +194\text{ kJ mol}^{-1} \quad \text{Reaction 1} C10​H22​(g)→C6​H14​(g)+2C2​H4​(g)ΔH=+194 kJ mol−1Reaction 1

The enthalpy changes of combustion of C10H22(g)\text{C}_{10}\text{H}_{22}(\text{g})C10​H22​(g) and C2H4(g)\text{C}_2\text{H}_4(\text{g})C2​H4​(g) are shown in the table below:

HydrocarbonΔcH/kJ mol−1\Delta_{\text{c}}H / \text{kJ mol}^{-1}Δc​H/kJ mol−1
C10H22(g)\text{C}_{10}\text{H}_{22}(\text{g})C10​H22​(g)-6778
C2H4(g)\text{C}_2\text{H}_4(\text{g})C2​H4​(g)-1411

Use ΔH \Delta H\,ΔH in Reaction 1 and the enthalpy changes of combustion in the table to determine the enthalpy change of combustion of C6H14(g)\text{C}_6\text{H}_{14}(\text{g})C6​H14​(g)..

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Physical chemistry Questions

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