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Answer :
Final answer:
To find the mass of methane required to produce 10,692 kJ of heat, we can set up a proportion using the given data. Solving the proportion reveals that the mass of methane needed is approximately 0.54 kg, closest to option D) 2.00 kg.
Explanation:
Based on the given information, we can set up a proportion to find the mass of methane required to produce 10,692 kJ of heat. First, we need to calculate the enthalpy change per mole of methane. From the data given, when 2.50 g of methane reacts, 125 kJ of heat is produced. This means that for every 2.50 g of methane, 125 kJ of heat is released.
Using this information, we can set up the following proportion:
2.50 g methane ∕ 125 kJ = x g methane ∕ 10,692 kJ
Solving for x, we find:
125 kJ * 10,692 kJ / 2.50 g = 536,460 g = 536.46 kg
Therefore, the mass of methane that must be burned to produce 10,692 kJ of heat is approximately 0.54 kg, which is closest to option D) 2.00 kg.
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