Identify which of the following statements are incorrect and change them so that they are true. The statements refer to the formation of 1 mol methanol (CH₃OH) from carbon monoxide and hydrogen (all at 1 atm pressure and in the gas phase):

(a) The direction of spontaneous reaction depends entirely on ΔH °.

(b) The reaction is spontaneous at 298 K.

(c) The reaction proceeds spontaneously at all temperatures greater than 298 K.

(d) The reaction proceeds spontaneously at all temperatures less than 298 K.

(e) The equilibrium constant increases with increasing temperature.

(f) The reaction proceeds quickly at any spontaneous temperature.