Answer:
At 1692.31 K.
Explanation:
The Gibbs free energy is a measurement of the energy available for the system to realize a change. And can be calculated by the relation of enthalpy, temperature and entropy by the Gibbs equation:
[tex]\Delta G = \Delta H + T\Delta S[/tex]
A procces will be spontaneous if the Gibbs free energy of the system is negative.
So, if we set the ΔG of the system as -.1 J to make it so that the proccess will be spontanteous and input the given values of entropy and enthalpy into the Gibbs equation, we get:
[tex]-.01 J = 22,000 J - T(-13 J/K)[/tex]
[tex]T = 1692.3 K[/tex]
