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In a gas-fired power station, the energy available from the above reaction is used to convert water in a boiler from liquid water to steam, H₂O(l) → H₂O(g) ΔH = +44.0 kJ mol⁻¹ The maximum mass of water, in grams, that could be converted from liquid water to steam by the complete oxidation of one mole of methane is A - VCE - SSCE Chemistry - Question 4 - 2004 - Paper 1

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In-a-gas-fired-power-station,-the-energy-available-from-the-above-reaction-is-used-to-convert-water-in-a-boiler-from-liquid-water-to-steam,--H₂O(l)-→-H₂O(g)--ΔH-=-+44.0-kJ-mol⁻¹--The-maximum-mass-of-water,-in-grams,-that-could-be-converted-from-liquid-water-to-steam-by-the-complete-oxidation-of-one-mole-of-methane-is--A-VCE-SSCE Chemistry-Question 4-2004-Paper 1.png

In a gas-fired power station, the energy available from the above reaction is used to convert water in a boiler from liquid water to steam, H₂O(l) → H₂O(g) ΔH = +4... show full transcript

Worked Solution & Example Answer:In a gas-fired power station, the energy available from the above reaction is used to convert water in a boiler from liquid water to steam, H₂O(l) → H₂O(g) ΔH = +44.0 kJ mol⁻¹ The maximum mass of water, in grams, that could be converted from liquid water to steam by the complete oxidation of one mole of methane is A - VCE - SSCE Chemistry - Question 4 - 2004 - Paper 1

Step 1

Calculate the energy available per mole of methane

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Answer

The complete combustion of methane (CH₄) produces CO₂ and H₂O. The standard enthalpy of combustion of methane is approximately -890 kJ/mol. However, we are interested in the energy used to convert water to steam, which is 44.0 kJ/mol as given.

Step 2

Determine the mass of water converted to steam

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Answer

We know that from the provided ΔH reaction value of 44.0 kJ, we can derive how many grams of water can be converted to steam:

The molar mass of water (H₂O) is about 18 g/mol.

Using the formula:

Mass of water (g) = (Energy available / Energy required per mole) × Molar mass

Here, we focus solely on the 44.0 kJ needed to convert water to steam:

Mass = (44.0 kJ / 44.0 kJ/mol) × 18 g/mol = 18 g

However, this mass conversion is only valid for the given energy versus the stoichiometric hold on the methane combustion, indicating we should consider the entire energy from one mole of methane combustion.

Step 3

Report the final answer

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Answer

Given that each mole of methane creates enough energy to reach the maximum conversion, the final answer based on the provided options should be D. 368 grams of water can be converted to steam using this energy.

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