A Mach \(1.5\) air flow enters a round duct of length \(20\) cm and diameter \(3\) cm. If the flow exits with Mach number \(1.1\), the average Fanning friction factor \(f\) of the duct is _______ \(\times 10^{-3}\) (rounded off to 1 decimal place).
An excerpt from the Fanno flow table for air is given below.
| 1.1 | 1.2 | 1.3 | 1.4 | 1.5 | 1.6 |
| 99.35 | 336.4 | 648.3 | 997.4 | 1361 | 1724 |