Final answer:
To determine the average heat transfer coefficient between the cooling water and the tubes, use the heat transfer equation and the given values. The number of tubes needed for the indicated heat transfer rate can be found by rearranging the equation.
Step-by-step explanation:
The average heat transfer coefficient between the cooling water and the thin copper tubes can be determined using the equation:
Q = U × A × ΔT
Where Q is the heat transfer rate, U is the heat transfer coefficient, A is the surface area of the tubes, and ΔT is the temperature difference between the water and the tubes.
To find the number of tubes needed to achieve the indicated heat transfer rate, we need to rearrange the equation as:
N = Q / (U × A × ΔT)
Where N is the number of tubes.
By substituting the given values into the equations, we can solve for U and N.