The total available water in the root zone is:
\[
\text{Total available water} = 80 \, \text{mm} \times 0.50 = 40 \, \text{mm}.
\]
The effective irrigation water is:
\[
\text{Effective irrigation water} = \frac{40 \, \text{mm}}{0.70} = 57.14 \, \text{mm}.
\]
The interval between irrigation is given by:
\[
\text{Interval} = \frac{57.14}{2.8} = 20.4 \, \text{days}.
\]
Thus, the interval between irrigation is \( 20 \, \text{days} \).