Physics
posted by Maggie .
Many hotwater heating systems have a reservoir tank connected directly to the pipeline, so as to allow for expansion when the water becomes hot. The heating system of a house has 74 m of copper pipe whose inside radius is 9.10 103 m. When the water and pipe are heated from 20 to 75°C, what must be the minimum volume of the reservoir tank to hold the overflow of water?
m3
I know the volume of the pipe is
pi R^2 L = 1.93*10^2 m^2 = 19.3 liters
I calculated how much that volume of water increases when being heated from 20 to 75 C. I used the thermal expansion coefficient of water. It varies from 20 to 75 C.
delta V = V*4*10^4*(75  20)
= 0.43 liters
My finnally answe has to be in m^3 so I divided .43l liters by 10^3 m^3 but I can't come up with right answer for this problem.

change in V/V = beta *(TfTi)
= 4*10^4 (55) = 220*10^4 = 2.2 * 10^2
pi r^2 L = pi * (9.1*10^3)^2 m^2 * 75m
= 1.95*10^2 METERS CUBED NOT liters
so
delta V = 1.95*10^2 * 2.2*10^2 = 4.29 * 10^4 meters cubed
delta v/V can be liters per liter or meters^3 per meter^3 or thimbles per thimble but in this case everything is in meters. 
my computer home work is tell me .000429 is not correct I have reworked the problem but it keep tell me the answer is not correct

Well, I assumed your thermal expansion coef for water was correct. Otherwise I did it all independently from your work. However water is nonlinear and even changes sign just above freezing (why ice freezes at the surface of the pond) so if it is a little off it is because it is hard to define that coef. If it is a lot off, either we are both crazy or the computer homework is wrong.

Try this one.
you seem to have forgotten about the coeficient for copper pipe. Remember volume gained (reservoir) equals volume lost (pipe)
deltaV =beta_water x V_i x deltaT
this gives the change in V for water
then
deltaV = beta_copper x V_i x deltaT
this gives the change in V for Copper
delta_T and V_i are the same for each equation. Then SUBRACT the lower number from the higher number. I had a similar problem and got the correct answer.
hope it helps. 
what?
Respond to this Question
Similar Questions

hot heating systems
I don't know what heats the walls of a firebox, but i know that it is either air or water! Nearly always, it is hot gases that flow in the air box of a fireplace that heats the walls. Water would be dangerous, as if it boiled, pressures … 
Physics
Many hotwater heating systems have a reservoir tank connected directly to the pipeline, so as to allow for expansion when the water becomes hot. The heating system of a house has 74 m of copper pipe whose inside radius is 9.10 103 … 
PhysicsPressure
a house at the bottom of a hill is fed by a full tank of water 5m deep and connected to the house by a pipe that is 110m long at an angle of 58 from the horizontal. a) determine the water gauge pressure at the house b) how high could … 
Physics
A copper pipe with an outer radius of 0.011 m runs from an outdoor wall faucet into the interior of a house. The temperature of the faucet is 4.4° C and the temperature of the pipe, at 3.1 m from the faucet, is 24° C. In fourteen … 
Physics
a) Family Smith has already installed PV in their house. Now, they also want to cover their needs for warm water with solar energy. For this, they consider having a solar thermal water heating system. Considering that the need for … 
Solar Energy Please Help
a) Family Smith has already installed PV in their house. Now, they also want to cover their needs for warm water with solar energy. For this, they consider having a solar thermal water heating system. Considering that the need for … 
physics
A house at the bottom of a hill is fed by a full tank of water 5.0 m deep and connected to the house by a pipe that is 110 m long at an angle of 58° from the horizontal (Fig. 13–48). (a) Determine the water gauge pressure at the … 
Science
I really need help in Science. Right now in science we are doing renewable energy. For the assignment we have two choices, a house or car of the future, I decided to do a house. The question is, "How could renewable energy sources … 
physics
A copper pipe with an outer radius of 0.010 m runs from an outdoor wall faucet into the interior of a house. The temperature of the faucet is 3.3°C, and the temperature of the pipe, 3.0 m from the faucet, is 25°C. In fifteen minutes, … 
Physics
Many hotwater heating systems have a reservoir tank connected directly to the pipeline, so as to allow for expansion when the water becomes hot. The heating system of a house has 57.4 m of copper pipe whose inside radius is 7.52 x …