• # question_answer 93)   Derive the relationship between $\Delta H$and $\Delta U$for an ideal gas. Explain each term involved in the equation.

We know $H=U+PV$ $({{H}_{2}}-{{H}_{1}})=({{U}_{2}}-{{U}_{1}})+P({{V}_{2}}-{{V}_{1}})$                 $\Delta H=\Delta U+P\Delta V$ For ideal gas $PV=nRT\,\,\,\,\,\,\,\,\,\,\,......(i)$ $\therefore$$P\Delta V=\Delta {{n}_{g}}RT$ From (i) and (ii) $\Delta H=\Delta U+\Delta {{n}_{g}}RT$ Where $\Delta {{n}_{g}}=({{n}_{2}}-{{n}_{1}})$ = Number of gaseous moles of products - Number of gaseous moles of reactants