As we’ve seen, the bodø nato base in northern norway uses a heat pump to extract heat from ocean water. 7.0 °c ocean water is continuously drawn into the system, heat is extracted, and the water is returned to the ocean at 3.0 °c. when the system is working at full capacity, 2,000 kw of heat is delivered to the building at the cost of 600 kw of electric energy. a. how much energy is removed from the water (the cold reservoir) each second? b. how much water moves through the system each second?

This question involves the concepts of specific heat capacity and the law of conservation of energy.

(a) "1400 KW" energy is removed from water each second.

(b) "83.33 kg/s" water moves through the system each second.

(a)

Applying the law of conservation of energy to this situation we get:

where,

= Energy removed from water per second = ?

W = Electrical Power Consumed = 600 KW

= Energy delivered to buildingper second = 2000 KW

Therefore,

(b)

Now, we will use the formula of specific heat capacity to find out the mass flow rate of water:

where,

m/t = mass flow rate of water = ?

C = Specific Heat Capacity of water = 4200 J/kg.°C

ΔT = Change in temperature = 7°C - 3°C = 4°C

Therefore,

Learn more about the law of conservation of energy here:

link

The attached picture explains the law of conservation of energy.

Part a)

Part b)

Explanation:

Part a)

Energy delivered to the building is given as

Work done by the electricity is given as

so we have

Part b)

As we know that water in and out temperature is given as

so we have

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