Two identical centrifugal pumps, each having a shut-off head of $30.0\text{ m}$ and delivering $0.025\text{ m}^3\text{/s}$ at $20.0\text{ m}$ head, are operated in series. At the combined discharge of $0.025\text{ m}^3\text{/s}$, the total head developed by the series combination in meters is ________ (answer in integer).
Answer Key:
40
Step-by-Step Solution & Explanation
When two identical pumps operate in series:
• The discharge through both pumps remains identical: $Q_{series} = Q_1 = Q_2 = 0.025\text{ m}^3\text{/s}$.
• The heads developed by the pumps add up: $H_{series} = H_1 + H_2 = 20.0 + 20.0 = 40.0\text{ m}$.