Proof that the mean residence time equals the space time, i.E., tm = t
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residence time: Tr = V/I [T], a measure of the average time a molecule of water spends in a reservoir. The residence time defined for steady-state systems is equal to the reservoir volume divided by the inflow or outflow rate.By definition, the residence time is the amount of material in the reservoir, divided by either the inflow or the outflow (they are equal when the reservoir is at equilibrium). If there are multiple inflows or outflows, then we use the sum of the outflows or inflows to determine the residence time.
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