Determine the capacity of the service reservoir when the following rates of draw off are given.
Pumping is done from 6 to 22 hours.
Hours Draw off [%]
06 10 200
10 12 100
12 16 50
16 10 150
20 22 100
22 06 50
To determine the capacity of the service reservoir, we need to calculate the total volume of water pumped into the reservoir and the total volume of water drawn off during the specified hours.
Given draw off rates in percentage and the time intervals, we can calculate the actual draw off in volume as a percentage of the capacity of the service reservoir. The total volume of water drawn off is then subtracted from the total volume of water pumped in to determine the remaining capacity of the reservoir.
Let's calculate the total volume drawn off during each time interval:
1. From 06 to 10 hours:
Draw off = 10% of capacity
Volume drawn off = 0.10 * Capacity
2. From 10 to 12 hours:
Draw off = 12% of capacity
Volume drawn off = 0.12 * Capacity
3. From 12 to 16 hours:
Draw off = 16% of capacity
Volume drawn off = 0.16 * Capacity
4. From 16 to 20 hours:
Draw off = 10% of capacity
Volume drawn off = 0.10 * Capacity
5. From 20 to 22 hours:
Draw off = 100% of capacity
Volume drawn off = 1.00 * Capacity
6. From 22 to 06 hours (next day):
Draw off = 50% of capacity
Volume drawn off = 0.50 * Capacity
Now, let's calculate the total draw off:
Total draw off = (0.10 + 0.12 + 0.16 + 0.10 + 1.00 + 0.50) * Capacity
Total draw off = (1.98) * Capacity
Given that the total draw off is equal to the total volume pumped into the reservoir, we can set up the equation:
Total draw off = Total volume pumped
1.98 * Capacity = Volume pumped
Since the total draw off is equal to the total volume pumped, the capacity of the service reservoir can be calculated by dividing the total volume pumped by 1.98:
Capacity = Volume pumped / 1.98
By calculating the total volume pumped during the specified time intervals and dividing by 1.98, we can determine the capacity of the service reservoir when the given rates of draw off are considered.