The standard Gibbs energy change for the reac | vedclass

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

Question

(A) The reaction is the auto-ionization of water: $H_2O(l) \rightleftharpoons H^+(aq) + OH^-(aq)$.The equilibrium constant $K_w$ for this reaction at

Vedclass · Accepted Answer

$+80$

Vedclass · Answer

(A) The reaction is the auto-ionization of water: $H_2O(l) ightleftharpoons H^+(aq) + OH^-(aq)$.The equilibrium constant $K_w$ for this reaction at $25 \, ^\circ C$ is $1.0 	imes 10^{-14}$.The standard Gibbs energy change is given by the formula: $\Delta G^\circ = -RT \ln K_w$.Substituting the values: $R = 8.314 \, J \cdot K^{-1} \cdot mol^{-1}$,$T = 298 \, K$,and $K_w = 10^{-14}$.$\Delta G^\circ = -(8.314 \, J \cdot K^{-1} \cdot mol^{-1}) 	imes (298 \, K) 	imes \ln(10^{-14})$.$\Delta G^\circ = -8.314 	imes 298 	imes (-14 	imes 2.303) \, J/mol$.$\Delta G^\circ \approx 80400 \, J/mol = 80.4 \, kJ/mol$.Among the given options,the closest value is $+80 \, kJ$.

The standard Gibbs energy change for the reaction $H_2O \rightleftharpoons H^{+} + OH^{-}$ at $25 \, ^\circ C$ is $... \ kJ$.

Similar Questions

If the $pH$ of a solution increases from $3$ to $6$,then its $H^{+}$ ion concentration:

At $25\,^oC$,the $pH$ of a solution is $2$. If the $pH$ is doubled,the concentration of hydronium ions in the solution will ............

At a certain temperature,if $pK_w = 12.60$,then which of the following is correct for an acidic solution?

Derive the relation between $pH$ and $pOH$.

Observe the following solutions:
$I$. Black coffee
$II$. $0.2 \ M \ NaOH$
$III$. Lemon juice
$IV$. Lime water
$V$. Human Saliva
$VI$. Tomato juice
The number of solutions with $pH$ less than $7$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module