Question

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

Answer 1

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

Answer 2

The correct answer is option B.

Step-by-step explanation:

Enthalpy of the system =
`\Delta H=+25 kJ=25,000 J`

Entropy of the system =
`\Delta S=+5.0 J/K`

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

The Gibbs's free energy is given by;

`\Delta G=\Delta H-T\Delta S`

`\Delta G=25,000 J-296 K* 5.0 J/K =23,520 J=23.5 kJ`

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.