The occupants of a remote village rely exclusively on a single micro hydro facility for all of their electricity needs. The hydro plant diverts water from a mountain stream 1500 feet above the facility. The flow rate varies from a summer maximum of 30 gallons per second to a winter minimum of 5 gallons per second. Determine the power available (in KW) during the summer and winter, assuming the facility is 70% efficient.

In summer the power available is 357.55 kW and in winter the power available is 59.59 kW

Explanation:

Given data:

height = 1500 ft = 457.2 m

30 gallon = 0.114 m³

5 gallon = 0.019 m³

In summer the power available is:

Where

μ = efficiency = 0.7

ρ = density of water = 1000 kg/m³

g = gravity = 9.8 m/s²

Q = 0.114 m³

Replacing:

In winter the power available is

the clapeyron equation (also called the clausius-clapeyron equation) relates the slope of a reaction line on a phase diagram to fundamental thermodynamic properties.

explanation:

the equation above shows how temperature f, measured in degrees fahrenheit, relates to a temperature c, measured in degrees celsius. based on the equation, which of the following must be true?

a temperature increase of 1 degree fahrenheit is equivalent to a temperature increase of

5

9

degree celsius.

a temperature increase of 1 degree celsius is equivalent to a temperature increase of 1.8 degrees fahrenheit.

a temperature increase of

5

9

degree fahrenheit is equivalent to a temperature increase of 1 degree celsius.

a) i only

b) ii only

c) iii only

d) i and ii only