2 PbCl2 → Pb + PbCl4
Pb + Cl2 → PbCl2 ΔH = −223 kJ
PbCl2 + Cl2 → PbCl4 ΔH = −87 kJ
Solution:
2PbCl2 → Pb + PbCl4
The following is known:
(1): Pb + Cl2 → PbCl2, ΔH = −223 kJ
(2): PbCl2 + Cl2 → PbCl4, ΔH = −87 kJ
Reaction 1 has to be flipped so that PbCl2 is a reactant. The value of ∆H is also changed from (-) to (+).
PbCl2 → Pb + Cl2, ΔH1 = +223 kJ
Reaction 2 does not need to be changed because PbCl4 is already a product.
PbCl2 + Cl2 → PbCl4, ΔH2 = −87 kJ
The two reactions are summed:
PbCl2 + PbCl2 + Cl2 → Pb + Cl2 + PbCl4
2PbCl2 → Pb + PbCl4, ΔHr
ΔHr = ΔH1 + ΔH2 = +223 kJ + (−87 kJ) = +136 kJ
ΔHr = 136 kJ.
Answer: ΔHr = 136 kJ.
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