The expression given is \(10k + n + 8m\).
In this expression, the terms are:
- \(10k\) (first term),
- \(n\) (second term),
- \(8m\) (third term).
The second term is \(n\). The coefficient of the term \(n\) is the number that multiplies \(n\). Since there is no number explicitly written in front of \(n\), we understand its coefficient to be \(1\).
Thus, the coefficient of the second term \(n\) is \( \boxed{1} \).