Label each statement as true or false. Correct any false statement to make it true.
a. Increasing temperature increases reaction rate.
b. If a reaction is fast, it has a large rate constant.
c. A fast reaction has a large negative $\Delta G^{\circ}$ value.
d. When $E_{\mathrm{a}}$ is large, the rate constant $k$ is also large.
e. Fast reactions have equilibrium constants $>1$.
f. Increasing the concentration of a reactant always increases the rate of a reaction.