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Answer:
a) The mass flow rate of water is 14.683 kilograms per second.
b) The pressure difference across the pump is 245.175 kilopascals.
Explanation:
a) Let suppose that pump works at steady state. The mass flow rate of the water (), in kilograms per second, is determined by following formula:
(1)
Where:
- Pump power, in watts.
- Efficiency, no unit.
- Gravitational acceleration, in meters per square second.
- Hydrostatic column, in meters.
If we know that ,
,
and
, then the mass flow rate of water is:
The mass flow rate of water is 14.683 kilograms per second.
b) The pressure difference across the pump (), in pascals, is determined by this equation:
(2)
Where is the density of water, in kilograms per cubic meter.
If we know that ,
and
, then the pressure difference is:
The pressure difference across the pump is 245.175 kilopascals.
Answer:
b). The same for all pipes independent of the diameter
Explanation:
We know,
From the above formulas we can conclude that the thermal resistance of a substance mainly depends upon heat transfer coefficient,whereas radius has negligible effects on heat transfer coefficient.
We also know,
Factors on which thermal resistance of insulation depends are :
1. Thickness of the insulation
2. Thermal conductivity of the insulating material.
Therefore from above observation we can conclude that the thermal resistance of the insulation is same for all pipes independent of diameter.