Question
Predict $\Delta\text{H}>\Delta\text{U}$ or $\Delta\text{H}$ is less than $\Delta\text{U}$ or $\Delta\text{H}=\Delta\text{U}.$
  1. C(graphite) $+\mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{CO}_2(\mathrm{~g})$
  2. $\mathrm{PCl}_5(\mathrm{~g}) \rightarrow \mathrm{PCl}_3(\mathrm{~g})+\mathrm{Cl}_2(\mathrm{~g})$

Answer

  1. $\Delta\text{H}=\Delta\text{U}$ because $\Delta\text{n}=0$ i.e. number of moles of gaseous reactants and products are equal.
  2. $\Delta\text{H}>\Delta\text{U}$ because $\Delta\text{n}=1\ [\Delta\text{H}=\Delta\text{U}+\Delta\text{nRT}]$
$\because$ Numbers of moles of gaseous products are more than gaseous reactants.

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