Prove that ∆G = –T∆Stotal.
The change in entropy in a process carried out in a non-isolated system is given by
∆Stotal = ∆Ssystem + ∆Ssurroundings ...(1)
Consider an isothermal process carried out at constant pressure in which heat q is transferred by the surroundings to the system.
Substituting this value in (1), we have,
It has been shown that must be positive for a process to be spontaneous. Therefore, equation (2) becomes useful in predicting the spontaneity of a process in terms of ∆G.
What is free energy change? Show that the change in free energy is equal to useful work done.
or
prove that –∆G = w(useful work)
Predict the enthalpy change, free energy change and entropy change when ammonium chloride is dissolved in water and the solution becomes colder.
At , ice and water are in equilibrium and for the process Calculate for the conversion of ice to liquid water.
For the reaction
calculate at 700K when enthalpy and entropy changes are -113 kJ mol-1 and -145 JK-1 mol-1 respectively.
From the following values of ∆H and ∆S, decide whether or not these reactions will be spontaneous at 298 K:
Reaction A:
∆H = – 10.5 X 103 J mol–1
∆S = + 31 JK–1 mol–1
Reaction B:
∆H = – 11.7 X 103 J mol–1 ;
∆S = –105 jK–1 mol–1.