the enthalpy change of a system is 1.25 x 10^5 J and the entropy change is 300 J/K. calculate the free energy change of the system at 290 K

delta G = delta H - T*delta S.

To calculate the free energy change (ΔG) of a system, you can use the equation:

ΔG = ΔH - TΔS

Where:
ΔH is the enthalpy change of the system
ΔS is the entropy change of the system
T is the temperature in Kelvin

In this case, you are given ΔH = 1.25 x 10^5 J and ΔS = 300 J/K. The temperature is given as 290 K.

Now plug in the values into the equation:

ΔG = (1.25 x 10^5 J) - (290 K)(300 J/K)

To calculate the value, follow the order of operations:

ΔG = 1.25 x 10^5 J - 87,000 J

Using simple subtraction:

ΔG = 37,000 J

Therefore, the free energy change (ΔG) of the system at 290 K is 37,000 J.