Question

For an ideal gas, the relation between the nthalpy change and internal energy change at constant temperature is given by

• A. $H=E+PV$
• B. $\Delta H=\Delta E+\Delta nRT$
• C. $\Delta H=\Delta E+P\Delta V$
• D. $\Delta H=\Delta G+T\Delta S$

Answer 1

Answer: (B)

$\Delta H=\Delta E+\Delta nRT$

$\Delta H=\Delta E+\Delta nRT$

For an ideal gas,
$H=U+PV$
$\Delta H=\Delta U+\Delta \left(PV\right)$, PV $=$ nRT

For a ideal gas
$\Delta \left(PV\right)=\Delta nRT$ at constant temperature
$\therefore \Delta H=\Delta U+\Delta nRT$