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The complete combustion of 1.5 x 10² moles of a gaseous hydrocarbon required 84 cm³ of oxygen (measured at S.T.P.) and produced 27 mg of water - Leaving Cert Chemistry - Question b - 2001

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The complete combustion of 1.5 x 10² moles of a gaseous hydrocarbon required 84 cm³ of oxygen (measured at S.T.P.) and produced 27 mg of water. (i) How many moles o... show full transcript

Worked Solution & Example Answer:The complete combustion of 1.5 x 10² moles of a gaseous hydrocarbon required 84 cm³ of oxygen (measured at S.T.P.) and produced 27 mg of water - Leaving Cert Chemistry - Question b - 2001

Step 1

How many moles of oxygen would be used up and how many moles of water would be produced if one mole of the hydrocarbon were burned in oxygen?

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Answer

To calculate the moles of oxygen used and water produced, we start with the given values. The volume of oxygen used is 84 cm³ at STP. Using the ideal gas law, we know that 1 mole of gas at STP occupies approximately 22.4 L or 22,400 cm³.

First, convert the volume of oxygen into moles:

n(O2)=VVm=84 cm322400 cm3/mol=0.00375 molesn(O_2) = \frac{V}{V_{m}} = \frac{84 \text{ cm}^3}{22400 \text{ cm}^3/mol} = 0.00375 \text{ moles}

According to the stoichiometry of complete combustion, one mole of hydrocarbon reacts with 2 moles of oxygen. Therefore, for 1 mole of hydrocarbon burned, the moles of oxygen used would be:

2×0.00375=0.0075 moles2 \times 0.00375 = 0.0075 \text{ moles}

Next, for every mole of hydrocarbon burned, the water produced can be obtained by knowing the amount of water produced is 27 mg. Converting this into grams gives:

27 mg=0.027 g27 \text{ mg} = 0.027 \text{ g}

Using the molar mass of water (H₂O = 18 g/mol), we can find the moles of water produced:

n(H2O)=0.027g18g/mol0.0015 molesn(H_2O) = \frac{0.027 g}{18 g/mol} \approx 0.0015 \text{ moles}

Step 2

Show clearly that the gaseous hydrocarbon is ethyne (C₂H₂).

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To demonstrate that the hydrocarbon is ethyne (C₂H₂), we first refer to the general combustion reaction of hydrocarbons:

CnHm+O2CO2+H2OC_nH_m + O_2 \rightarrow CO_2 + H_2O

Assuming the combustion product aligns with this reaction, we have:

For every 1 mole of C₂H₂, we require 2 moles of O₂ and produce 2 moles of CO₂ and 1 mole of H₂O. Matching the known values:

  • Moles of oxygen used calculated previously: 0.00375 Moles
  • Moles of water produced: 0.0015 Moles

With the stoichiometry of ethyne:

  • Oxygen: 2 moles needed for 1 mole of ethyne → 0.00375 moles implies approximately 0.001875 moles of C₂H₂.
  • Water: For 1 mole of ethyne, we produce 1 moles of water; hence 0.0015 moles of water corresponds to approximately 0.0015 moles of ethyne.

Thus, the hydrocarbon meets the combustion requirement for ethyne.

Step 3

What is the product of the hydration of ethylene? What reagents and conditions are required for this hydration?

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Answer

The hydration of ethylene (C₂H₄) results in the formation of ethanol (C₂H₅OH). This reaction typically requires specific conditions and reagents:

  1. Reagent: Phosphoric acid (H₃PO₄) or sulfuric acid (H₂SO₄) is often used as a catalyst in the reaction.
  2. Conditions: The process is usually carried out at elevated temperatures (around 300°C) and under high pressure.

The overall reaction can be represented as:

C2H4+H2OH3PO4C2H5OHC_2H_4 + H_2O \xrightarrow{H_3PO_4} C_2H_5OH

In summary, ethanol is the product of ethylene hydration, facilitated by a strong acid catalyst under specific temperature and pressure conditions.

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