Final answer:
The temperature at which the reaction changes from nonspontaneous to spontaneous in the forward direction is 345 K.
Step-by-step explanation:
The temperature at which a reaction changes from nonspontaneous to spontaneous in the forward direction can be determined by examining the change in Gibbs free energy (∆G) with temperature.
We can use the equation ∆G = ∆H - T∆S, where ∆H is the change in enthalpy and ∆S is the change in entropy. In this case, the given values are ∆H = 34.2 kJ and ∆S = 99.2 J.
Assuming these values change very little with temperature, we can calculate the temperature at which the reaction becomes spontaneous by setting ∆G equal to zero:
0 = 34.2 kJ - T * 99.2 J
Solving for T, we get:
T = 345 K
Therefore, at a temperature of 345 K, the reaction changes from nonspontaneous to spontaneous in the forward direction.