Loss of cooling water to condenser

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tstutter
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If a condenser were to lose its supply of cooling water and no trips were activated how could you calculate when the vacuum would be lost? i.e. calculate the length of time before no more steam could be accepted by the condenser.
 
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You could treat this as the classic problem of "flow into an evacuated chamber." It is in my old thermdynamics text (at work). But you should be able to find this solution in any thermo text or online.