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Water Resources

What is a wat...

Question

What is a water reservoir

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Solution

A reservoir is a storage space for fluids.. A reservoir usually means an enlarged natural or artificial lake, storage pond or impoundmentcreated using a dam or lock to store water. Reservoirs can be created by controlling a stream that drains an existing body of water. They can also be constructed in river valleys using a dam. Alternately, a reservoir can be built by excavating flat ground or constructing retaining walls and levees.

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A

B

are two separate reservoir of water. Capacity of reservoir

A

is double the capacity of reservoir

B

. Both the reservoirs are filled completely with water, their inlets are closed and then the water is released simultaneously from both the reservoirs. The rate of flow of water out of each reservoir at any instant of time is proportional to the quantity of water in the reservoir at that time. One hour after the water is released, the quantity of water in reservoir

A

1.5

times the quantity of water in reservoir

B

.
After how many hours do both the resevoirs have the same quantity of water ?

Q. A reservoir had 186.55 tmc of water initially. Later 45.42 tmc of water was released to produce hydroelectic power. What was the remaining amount of water in the reservoir?

Q. A & B are two separate reservoirs of water. The capacity of reservoir A is double the capacity of reservoir B. Both the reservoirs are filled completely with water, their inlets are closed and then the water is released simultaneously from both the reservoirs. The rate of flow of water out of each reservoir at any instant of time is proportional to the quantity of water in the reservoir at that time. One hour after the water is released, the quantity of water in reservoir A is

1.5

times the quantity of water in reservoir B. After how many hours do both the reservoirs have the same quantity of water?

(Enter n if the answer is

T = l o g_{4 / 3} n

Q. What would be the efficiency of a Carnot engine operating with boiling water as one reservoir and a freezing mixture of ice and water as the other reservoir?

A

B

are two separate reservoir of water. Capacity of reservoir

A

is double the capacity of reservoir

B

. Both the reservoirs are filled completely with water, their inlets are closed and then the water is released simultaneously from both the reservoirs. The rate of flow of water out of each reservoir at any instant of time is proportional to the quantity of water in the reservoir at that time. One hour after the water is released, the quantity of water in reservoir

A

1.5

times the quantity of water in reservoir

B

V_{A}

V_{B}

represents volume of the reservoirs

A

B

t

On the basis of above information, answer the following questions:

\frac{V_{A}}{V_{B}} = f (t)

t

f (t)

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