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If, for the reaction C₁H₃OH(g) + 3O₂(g) → 2CO₂(g) + 3H₂O(l); ΔH = -1364 kJ mol⁻¹; then the ΔH value for 4CO₂(g) + 6H₂O(l) → 2C₁H₃OH(g) + 6O₂(g) would be A - VCE - SSCE Chemistry - Question 4 - 2009 - Paper 1

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If,-for-the-reaction--C₁H₃OH(g)-+-3O₂(g)-→-2CO₂(g)-+-3H₂O(l);-ΔH-=--1364-kJ-mol⁻¹;--then-the-ΔH-value-for--4CO₂(g)-+-6H₂O(l)-→-2C₁H₃OH(g)-+-6O₂(g)--would-be-A-VCE-SSCE Chemistry-Question 4-2009-Paper 1.png

If, for the reaction C₁H₃OH(g) + 3O₂(g) → 2CO₂(g) + 3H₂O(l); ΔH = -1364 kJ mol⁻¹; then the ΔH value for 4CO₂(g) + 6H₂O(l) → 2C₁H₃OH(g) + 6O₂(g) would be A. +2728... show full transcript

Worked Solution & Example Answer:If, for the reaction C₁H₃OH(g) + 3O₂(g) → 2CO₂(g) + 3H₂O(l); ΔH = -1364 kJ mol⁻¹; then the ΔH value for 4CO₂(g) + 6H₂O(l) → 2C₁H₃OH(g) + 6O₂(g) would be A - VCE - SSCE Chemistry - Question 4 - 2009 - Paper 1

Step 1

Calculate ΔH for the reverse reaction

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Answer

To find the ΔH value for the reaction involving the formation of ethanol (C₁H₃OH), we first need to reverse the original reaction. The original reaction is negative, indicating it is exothermic:

C₁H₃OH(g) + 3O₂(g) → 2CO₂(g) + 3H₂O(l)

When reversing it, we write:

2CO₂(g) + 3H₂O(l) → C₁H₃OH(g) + 3O₂(g)

Thus, the ΔH for this reverse reaction will be +1364 kJ mol⁻¹.

Step 2

Multiply the reaction coefficients

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Answer

The next step will involve scaling the reversed reaction. We need to multiply both sides of the reaction by 2:

2(2CO₂(g) + 3H₂O(l) → C₁H₃OH(g) + 3O₂(g))

This gives:

4CO₂(g) + 6H₂O(l) → 2C₁H₃OH(g) + 6O₂(g)

Since we multiplied by 2, the ΔH for this reaction must also be multiplied by 2:

ΔH = 2 × +1364 kJ mol⁻¹ = +2728 kJ mol⁻¹.

Step 3

Select the correct answer

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Answer

From the calculations, we have determined that the ΔH value for the reaction 4CO₂(g) + 6H₂O(l) → 2C₁H₃OH(g) + 6O₂(g) is +2728 kJ mol⁻¹. Therefore, the correct answer is:

A. +2728 kJ mol⁻¹

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