Question

Which is the correct Gibbs Helmholtz equation?

• A. $\Delta H=\Delta G-T.\Delta S$
• B. $\Delta S=\frac{1}{T}[\Delta G-\Delta H]$
• C. $\Delta S=\frac{1}{T}[\Delta H-\Delta G]$
• D. $-\Delta G=\Delta H-T.\Delta S$

Answer 1

Answer: (C)

Gibbs Helmholtz equation is
$\Delta G=\Delta H=T\Delta S$
Compare the choices with it to find correct answer [c]
$\Delta S=\frac{1}{T}(\Delta H-\Delta G)$
or $T\Delta S=\Delta H=\Delta G$
or $\Delta G=\Delta H-T\Delta G$
$\therefore$ It is correct answer.