Answer: -2.4 kJ/mol
Explanation:
We can relate [tex]\Delta G[/tex] to [tex]\Delta G\°[/tex] according to:
[tex]\Delta G=\Delta G\°+RTln(\frac{[products]^n}{[reagents]^m})[/tex]
Where [products] is the concentration of products, [reagents] is the concentrarion of reagents, n and m are the corresponding stoichiometric coefficients, T is the temperature in Kelvin and R is the gas constant.
Converting 37°C to Kelvin by adding 273, mM to M dividing by 1000, and substituting we get:
[tex]\Delta G=1.7\frac{kJ}{mol} +(8.314*10^{-3}\frac{kJ}{K*mol})*(37+273K)*ln(\frac{\frac{0.1}{1000}M}{\frac{0.5}{1000}M})[/tex]
That gives us a value of -2.4 kJ/mol, the fouth option.