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Answer :
Final answer:
The flow rate of water exiting the hot-water heater should remain 2.0 gal/min since water's incompressibility means that volume flow rate stays constant under the given conditions, assuming no phase change occurs.
Explanation:
The question is asking to determine the flow rate of water exiting a hot-water heater given a specific inlet temperature, pressure, and the exit temperature, along with a variation in the exit pressure. Since water is nearly incompressible, the flow rate by volume remains approximately the same, assuming no phase change occurs. This implies that if 2.0 gallons per minute are entering the heater, the same amount should be exiting it at the new temperature and slightly decreased pressure.
However, it's worth noting that to obtain definitive properties of water at specific temperatures and pressures, one would typically use reference data or software such as the one mentioned from NIST (National Institute of Standards and Technology). Since the provided information alludes to pressure and temperature values without significant changes from ambient conditions, and assuming that the water does not undergo a phase change from liquid to steam, the changes in density and therefore flow rate would be very minimal. Hence, we can say that the flow rate of the exiting water is also 2.0 gal/min.
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