Question

What is the value of G, if the equilibrium constant for a reaction is 10.

Answer 1

• Gibbs free energy, sometimes referred to as the Gibbs function, Gibbs energy, or free enthalpy, is a unit used to quantify the most work that can be performed in a thermodynamic system while maintaining constant temperature and pressure.
• G is used to represent Gibbs's free energy. Typically, its value is stated in joules or kilojoules.
• The maximum amount of work that may be wrung out of a closed system is known as Gibbs free energy.
• Gibbs free energy is given by the equation $\mathrm{G}=-2.303\mathrm{RTlogK}$, Where G = Gibbs free energy, R = Gas constant, T = temperature and K = equilibrium constant

Step 1: Formula for the calculation of G

$\mathrm{G}=-2.303\mathrm{RTlogK}$

Step 2: Utilize the given value of equilibrium constant for the calculation of G

Using this formula to calculate G, Putting the given values

R = 8.314, T = 300 K (Standard values) and K = 10 (Given)

$$\begin{gathered} \mathrm{G}=-2.303\times 8.314\times 300\times \log \left(10\right){\mathrm{Jmol}}^{-1} \\ \mathrm{G}=5744.1426{\mathrm{Jmol}}^{-1} \\ \mathrm{G}=5.74{\mathrm{kJmol}}^{-1} \end{gathered}$$