A pipe takes water from a reservoir where the temperature is 12 °C to a hydro- electric plant 600 m below. At the 1.2 m diameter inlet to the powerhouse the gauge pressure of the water is 5.5 MPa and its mean velocity 2 m s'. If its temperature there is 13.8 °C, at what rate has heat passed into the pipe as a result of hot sunshine? (Note: The change of atmospheric pressure over 600 m must be accounted for: mean atmospheric density = 1.225 kg m. Specific heat capacity of water = 4.187 kJ · kg -K-1.)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A pipe takes water from a reservoir where the temperature is 12 °C to a hydroelectric plant 600 m below. At the 1.2 m diameter inlet to the powerhouse, the gauge pressure of the water is 5.5 MPa and its mean velocity is 2 m·s⁻¹. If its temperature there is 13.8 °C, at what rate has heat passed into the pipe as a result of hot sunshine? *(Note: The change of atmospheric pressure over 600 m must be accounted for: mean atmospheric density = 1.225 kg·m⁻³. Specific heat capacity of water = 4.187 kJ·kg⁻¹·K⁻¹.)*

This question requires calculating the rate of heat absorbed by water as it moves through the pipe, considering initial and final temperatures, pressure changes, and specific heat capacity. The effect of altitude on atmospheric pressure must also be considered.
Transcribed Image Text:A pipe takes water from a reservoir where the temperature is 12 °C to a hydroelectric plant 600 m below. At the 1.2 m diameter inlet to the powerhouse, the gauge pressure of the water is 5.5 MPa and its mean velocity is 2 m·s⁻¹. If its temperature there is 13.8 °C, at what rate has heat passed into the pipe as a result of hot sunshine? *(Note: The change of atmospheric pressure over 600 m must be accounted for: mean atmospheric density = 1.225 kg·m⁻³. Specific heat capacity of water = 4.187 kJ·kg⁻¹·K⁻¹.)* This question requires calculating the rate of heat absorbed by water as it moves through the pipe, considering initial and final temperatures, pressure changes, and specific heat capacity. The effect of altitude on atmospheric pressure must also be considered.
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