The combustion of a fuel will be spontaneous at T=0 because it is an exothermic reaction, but will it stay that way when the temperature increases? Choose a hypothesis: a) Delta G will stay negative b) Delta G will change sign when T gets high enough

## Step 1: Understand Gibbs Free Energy ( ) Relation### Gibbs Free Energy ( ) is given by the equation , where is the enthalpy change, is the temperature, and is the entropy change. For an exothermic reaction, is negative.## Step 2: Conditions for Spontaneity### A reaction is spontaneous if is negative. Initially, at , depends primarily on , which is negative. As temperature increases, becomes more significant. Depending on the sign of , this can alter .## Step 3: High Temperature Effect### If is positive, increasing will make larger, potentially making less negative or even positive. If is negative, increasing will make more negative.