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Question 7
Natural gas is a source of methane. (a) Methane, CH₄, can be used as a fuel. In an experiment, methane was burned to raise the temperature of 100 cm³ of water by 27... show full transcript
Step 1
Answer
To find the mass of methane burned, use the formula:
Where:
Calculating :
Next, since combustion of 1 mole of methane releases 891 kJ, we set up the proportion:
ext{moles of methane} = rac{11.286 ext{ kJ}}{891 ext{ kJ mol}^{-1}} ext{ moles}
This gives approximately moles. Since the molar mass of methane (CH₄) is approximately 16 g/mol:
Step 2
Answer
The bond enthalpy method involves breaking and forming bonds. First, we calculate the total bond enthalpies of the reactants and products:
If calculated correctly, should yield approximately -816 kJ mol⁻¹.
Step 3
Answer
The formula for atom economy is given by:
ext{Atom Economy} = rac{ ext{Molar mass of desired product}}{ ext{Total molar mass of all products}} imes 100
In this case, the desired product is hydrogen (3 H₂) with a mass of 6 g. The total mass of products (1 CO + 3 H₂) is:
GFM: CO = 28 g and 3 H₂ = 6 g → Total = 34 g.
Thus, the atom economy is:
ext{Atom Economy} = rac{6}{34} imes 100 = 17.65 ext{%}
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