Step 1: The charge carried by one mole of electrons is called one Faraday.
\[
1F=96500\,C
\]
Step 2: In scientific notation:
\[
96500=9.65\times 10^4
\]
Step 3: Therefore, the number of coulombs corresponding to \(1\) mole of electrons is:
\[
\boxed{9.65\times 10^4\,C}
\]