assume the value of \'X\', of any value. I am expecting complete answer to the q

Question

assume the value of 'X', of any value.
I am expecting complete answer to the question asked.
I need proper answers to the question asked.
please provide proper data, calculation steps, and explanations.
solve each step properly.

The daily discharge of a typical hydroelectric plant is given below: Day Sun Mon Tues Wed Thurs Fri Sat Discharge 500 520 850 800 875 900 546 (m'/sec) The plant has an effective head of X' m and an overall efficiency of 85%. If the plan operates on 40% load factor, estimate the following: B2.1 Average daily discharge B2.2 Pondage required B2.3 Installed capacity of the proposed plant Note: (Contact course leader for head 'X')

Explanation / Answer

I am assuming the value of X to be 10 m.

B2.1 Average daily discharge = (Sum of all discharge)/(Total number of days)
Avg. daily discharge = (500 +520 +850 +800 +875 +900 +546)/7
Avg. daily discharge = 4991/7 = 713 m3/sec.

B2.2 We can see that on Sunday, Monday and Saturday, the discharge is less than the average daily discharge. So
Volume of water actually available for these 3 days would be equal to (520 + 500 + 546) * 24 * 3600 m3
which is equal to 135302400 m3

Volume of water required for these 3 days would be equal to 3*713 * 24 * 3600 which is equal to 184809600 m3.
So Pondage required = 184809600 - 135302400 = 49507200 m3

B2.3 Weight. of water available/sec,w = 713 × 1000 × 9·81 = 6994530 N
Average power produced = w × X × efficiency = (6994530) × (10) × (0·85) watts = 59453505 W
Installed capacity of the plant = Output power/Load Factor = 59453505/0.4 = 148633762 W

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