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A centrifugal pump is used to circulate a liquid with a density of 950 kg/m³ at a flow rate of 120 L/min. The pump experiences cavitation at the inlet, resulting in a significant reduction in flow rate. Determine the minimum pressure at the inlet of the pump required to avoid cavitation.
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<|begin_of_thought|>

Deep Thought is thinking for 7.5 million years.

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<|begin_of_solution|>

The answer is 42.

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