Fluid and heat transfer in a hot water heater

AI Thread Summary
The discussion focuses on calculating pressure and flow rates in a hot water heating system. It involves determining the pressure in a 2 cm pipe located 5 meters above a basement pipe under 3 atm pressure, with water circulating at a speed of 0.7 m/s. Additionally, it addresses calculating the outflow flux from a faucet with a diameter of 0.84 cm, given the basement pipe's diameter of 4 cm and a velocity of 0.8 m/s. The calculations require applying the principles of volume flow continuity and Bernoulli's equation. Accurate results depend on understanding fluid dynamics in varying pipe diameters and heights.
Elvis
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Please help me with this :

1) Water circulates throughout a house in a hotwater heating system. The water is pumped at a speed of .7 m/s through a 4 cm diameter pipe in the basement under a pressure of 3 atm. What is the pressure, to the nearest N/m^2, in a 2 cm pipe on the second floor 5 meters above the basement?

2)If the basement pipe is 4 cm in diameter and the water velocity is .8 m/s, what is the flux of the outflow, to the nearest tenth, of a liter/s at a 0.84 cm diameter faucet on the second floor?
 
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Use the equation for volume flow continuity (A1v1=A2v2) and Bernoulli's equation.

Give it a shot and show us what you did.
 
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