A river with volumetric flow rate 250 litres per minute delivers water of density 997 kg/m3 into a mountain lake. The lake also collects 47 tonnes of ice melt per day from the neighbouring slopes. A local power station circulates water from the lake for cooling purposes, losing 530 kg of water vapour per hour to the atmosphere through evaporation. The reservoir also supplies an average of 194 litres of water per week to each of 13,000 local homes. Finally, the lake discharges water back into the river through a pipe of diameter 280 mm: the mean velocity in this pipe is 6.6 cm/s. (a) If the surface of the lake has area 0.21 km? (i.e. square kilometres), calculate the increase (+) or decrease (-) of the water level in the reservoir over a four-week period, in millimetres. Quote your answer to 3 s.f. Number (b) Enter your calculated rate of change of mass of the water in the lake (increase +, decrease -) with appropriate units and quoting your answer to 3 s.f. Number Units (c) Enter the volumetric flow rate through the discharge pipe back into the river, in litres/min and to 3 s.f. Number
A river with volumetric flow rate 250 litres per minute delivers water of density 997 kg/m3 into a mountain lake. The lake also collects 47 tonnes of ice melt per day from the neighbouring slopes. A local power station circulates water from the lake for cooling purposes, losing 530 kg of water vapour per hour to the atmosphere through evaporation. The reservoir also supplies an average of 194 litres of water per week to each of 13,000 local homes. Finally, the lake discharges water back into the river through a pipe of diameter 280 mm: the mean velocity in this pipe is 6.6 cm/s. (a) If the surface of the lake has area 0.21 km? (i.e. square kilometres), calculate the increase (+) or decrease (-) of the water level in the reservoir over a four-week period, in millimetres. Quote your answer to 3 s.f. Number (b) Enter your calculated rate of change of mass of the water in the lake (increase +, decrease -) with appropriate units and quoting your answer to 3 s.f. Number Units (c) Enter the volumetric flow rate through the discharge pipe back into the river, in litres/min and to 3 s.f. Number
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A river with volumetric flow rate 250 litres per minute delivers water of density 997 kg/m3 into a mountain lake. The lake also collects 47 tonnes of ice melt per
day from the neighbouring slopes. A local power station circulates water from the lake for cooling purposes, losing 530 kg of water vapour per hour to the
atmosphere through evaporation. The reservoir also supplies an average of 194 litres of water per week to each of 13,000 local homes. Finally, the lake
discharges water back into the river through a pipe of diameter 280 mm: the mean velocity in this pipe is 6.6 cm/s.
(a) If the surface of the lake has area 0.21 km2 (i.e. square kilometres), calculate the increase (+) or decrease (-) of the water level in the reservoir over a
four-week period, in millimetres. Quote your answer to 3 s.f.
Number
(b) Enter your calculated rate of change of mass of the water in the lake (increase +, decrease -) with appropriate units and quoting your answer to 3 s.f.
Number
Units
(c) Enter the volumetric flow rate through the discharge pipe back into the river, in litres/min and to 3 s.f.
Number
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