Which of the following relations is correct?

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The Gibbs function $G$ is defined as $G = H - T S$.Taking the differential of both sides, we get $d G = d H - T d S - S d T$ $(i)$.From the defini

Vedclass · Accepted Answer

$d G = V d p - S d T$

Vedclass · Answer

(B) The Gibbs function $G$ is defined as $G = H - T S$.Taking the differential of both sides, we get $d G = d H - T d S - S d T$ $(i)$.From the definition of enthalpy, $H = U + p V$, so $d H = d U + p d V + V d p$.Substituting the first law of thermodynamics $d U = T d S - p d V$ into the expression for $d H$, we get $d H = (T d S - p d V) + p d V + V d p = T d S + V d p$.Now, substitute $d H = T d S + V d p$ into equation $(i)$:$d G = (T d S + V d p) - T d S - S d T$$d G = V d p - S d T$.

Condition	Details
$A$. $\Delta H: +, \Delta S: -$	$T$: any $T$,Spontaneity: Non-spontaneous
$B$. $\Delta H: +, \Delta S: +$	$T$: low $T$,Spontaneity: Non-spontaneous
$C$. $\Delta H: -, \Delta S: -$	$T$: low $T$,Spontaneity: Spontaneous
$D$. $\Delta H: -, \Delta S: +$	$T$: any $T$,Spontaneity: Spontaneous

Similar Questions

For the spontaneity of a reaction,which statement is always true?

Calculate the maximum work done in expanding $16 \ g$ of oxygen $(O_2)$ at $300 \ K$ and occupying a volume of $5 \ dm^3$ isothermally until the volume becomes $25 \ dm^3$. (in $J$)

Which of the following set of thermodynamic conditions is true for the reaction to be spontaneous at high temperature?

Calculate the work done (in $J$) when $4.5 \ g$ of $H_2O_2$ reacts against a pressure of $1.0 \ atm$ at $25 \ ^oC$. [$2H_2O_{2(l)} \to O_{2(g)} + 2H_2O_{(l)}$]

Vedclass Test Series

Exam Paper Generator

Online Exam Module