Question

In: Chemistry

If ?H = -60.0kJ and ?S = -0.300kJ/K , the reaction is spontaneous below a certain...

If ?H = -60.0kJ and ?S = -0.300kJ/K , the reaction is spontaneous below a certain temperature. Calculate that temperature.

Solutions

Expert Solution

We know that G = H-TS

Where

G = change in Gibb's free energy

H = change in enthalpy = - 60.0 KJ

S = change in entropy = -0.300 KJ/K

T = temperature in K

The reaction is spontaneous iff G < 0

                                    H-TS < 0

                                    H < TS      

                                               T > H / S     

   T > -60 KJ / -0.300 KJ/K

   T > 200 K

The temperature is 200 K


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