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The combustion of octane can be represented by the equation $$2C_8H_{18}(g) + 25O_2(g) \rightarrow 16CO_2(g) + 18H_2O(g) \quad \Delta H = -10 \ 108 \ kJ \ mol^{-1}$$ The energy produced, in kJ, by the complete oxidation of 45 kg of octane is A - VCE - SSCE Chemistry - Question 4 - 2003 - Paper 1

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The-combustion-of-octane-can-be-represented-by-the-equation--$$2C_8H_{18}(g)-+-25O_2(g)-\rightarrow-16CO_2(g)-+-18H_2O(g)-\quad-\Delta-H-=--10-\-108-\-kJ-\-mol^{-1}$$--The-energy-produced,-in-kJ,-by-the-complete-oxidation-of-45-kg-of-octane-is-A-VCE-SSCE Chemistry-Question 4-2003-Paper 1.png

The combustion of octane can be represented by the equation $$2C_8H_{18}(g) + 25O_2(g) \rightarrow 16CO_2(g) + 18H_2O(g) \quad \Delta H = -10 \ 108 \ kJ \ mol^{-1}$... show full transcript

Worked Solution & Example Answer:The combustion of octane can be represented by the equation $$2C_8H_{18}(g) + 25O_2(g) \rightarrow 16CO_2(g) + 18H_2O(g) \quad \Delta H = -10 \ 108 \ kJ \ mol^{-1}$$ The energy produced, in kJ, by the complete oxidation of 45 kg of octane is A - VCE - SSCE Chemistry - Question 4 - 2003 - Paper 1

Step 1

Calculate the number of moles of octane in 45 kg

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Answer

First, we need to find the molar mass of octane (C₈H₁₈). The molar mass is:

extMolarmassofC8extH18=(8×12.01)+(18×1.008)=114.22 g mol1 ext{Molar mass of C}_8 ext{H}_{18} = (8 \times 12.01) + (18 \times 1.008) = 114.22 \ g \ mol^{-1}

Next, convert 45 kg to grams:

45 kg=45000 g45 \ kg = 45000 \ g

Now, use the formula for moles:

Moles of octane=massmolar mass=45000 g114.22 g mol1393.61 mol\text{Moles of octane} = \frac{\text{mass}}{\text{molar mass}} = \frac{45000 \ g}{114.22 \ g \ mol^{-1}} \approx 393.61 \ mol

Step 2

Calculate the energy produced

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Answer

The energy released per mole of octane combustion is given as -10,108 kJ/mol. For 393.61 moles of octane, the total energy produced can be calculated as follows:

Total energy=393.61 mol×(10108 kJ mol1)3973124.68 kJ\text{Total energy} = 393.61 \ mol \times (-10108 \ kJ \ mol^{-1}) \approx -3973124.68 \ kJ

Since we are interested in the absolute value of energy produced:

3973124.68 kJ4.0×106 kJ3973124.68 \ kJ \approx 4.0 \times 10^6 \ kJ

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