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$.

Similar Questions

Which of the following pairs of a chemical reaction is certain to result in a spontaneous reaction?

$A$ chemical reaction cannot occur at all if

For the melting of $3 \ mol$ of ice at $0^o \text{C}$,$\Delta G = \dots \dots$

Let us consider an endothermic reaction which is non-spontaneous at the freezing point of water. However,the reaction is spontaneous at the boiling point of water. Choose the correct option.

At $273 \ K$ the maximum work done when pressure on $10 \ g$ of hydrogen is reduced from $10 \ atm$ to $1 \ atm$ under isothermal,reversible conditions is (Assume the gas behaves ideally) $(R=8.3 \ J \ K^{-1} \ mol^{-1})$

Vedclass Test Series

Exam Paper Generator

Online Exam Module