Calculate the ΔG for the following system. Then state if the system is spontaneous or not spontaneous.
ΔH = + 25 kJ ΔS = +5.0 J/K T = 23°C
A)1.5 x 103 kJ; not spontaneous
B)+24 kJ; not spontaneous
C)+25 kJ; not spontaneous
D)1.5 x 103 kJ; spontaneous
E)+24 kJ; spontaneous
F)+25 kJ; spontaneous

Respuesta :

+25 kJ; not spontaneous is your answer :) Hope this helps.

Answer:

The correct answer is option B.

Explanation:

Enthalpy of the system = [tex]\Delta H=+25 kJ=25,000 J[/tex]

Entropy of the system =[tex]\Delta S=+5.0 J/K[/tex]

Temperature of the system =T =23°C = 296 K

The Gibbs's free energy is given by;

[tex]\Delta G=\Delta H-T\Delta S[/tex]

[tex]\Delta G=25,000 J-296 K\times 5.0 J/K =23,520 J=23.5 kJ[/tex]

The value of ΔG is positive which means that system is not spontaneous.

Hence, from the given options the most closest value to our answer is option B.