Final answer:
A negative cell potential indicates a non-spontaneous reaction, while a positive cell potential indicates a spontaneous reaction. Therefore, the statement that a reaction with a negative cell potential is spontaneous is false.
Step-by-step explanation:
The cell potential (Ecell) and free energy change (ΔG) of a reaction are critical factors in determining whether a reaction is spontaneous or non-spontaneous. If the cell potential is positive, the reaction is generally spontaneous as written. Conversely, a negative cell potential indicates the reaction is non-spontaneous under standard conditions, and would proceed spontaneously in the opposite direction. A spontaneous reaction is also characterized by a negative free energy change.
In summary, statement (d) "The reaction is spontaneous" is false if the cell potential is negative. Statement (f) "The reaction is non-spontaneous" would be true under those conditions. And statement (g), which asserts "The cell potential is written as negative", can be true depending on the specific details provided for the reaction in question.