If the flow from a catchment is 10m3/s for 3 hours and the total rainfall depth is 10.8 mm, what is the catchment area (in ha)? Hint: remember one hectare = 10000m2

Question

BlackTom AI · Accepted Answer

Begin by identifying the given hydrological quantities and converting them to consistent units.
First, compute the total volume of flow (runoff) over the 3-hour period: discharge = 10 m3/s, duration = 3 hours = 3 × 3600 = 10800 seconds. So runoff volume = 10 m3/s × 10800 s = 108000 m3.
Next, relate rainfall to the catchment area. The total rainfall depth is 10.8 mm, which equals 0.0108 meters. If this rainfall produced the measured runoff over the catchment area, then the volume of rainfall received equals rainfall depth × catchment area: 0.0108 m × A = 108000 m3, where A is the catchment area in square meters.
Solve for A: A = 108000 m3 / 0.0108 m = 10,000,000 m2 (since 108000 ÷ 0.0108 = 10,000,000).
Finally, convert the area from square meters to hectares. 1 hectare = 10,000 m2, so A = 10,000,000 m2 ÷ 10,000 m2/ha = 1000 ha.
Therefore, the catchment area is 1000 hectares. The units are consistent and the arithmetic steps align with the relationship between discharge volume, rainfall depth, and catchment area.

Dashboard Quiz1

If the flow from a catchment is 10m3/s for 3 hours and the total rainfall depth is 10.8 mm, what is the catchment area (in ha)? Hint: remember one hectare = 10000m2

View Explanation

Log in for full answers

Similar Questions

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

Which of the following statement regarding cost is correct:

Under the assumptions used in cost-volume-profit analysis, as the activity increases:

The CVP and break-even analysis are supported by a range of important assumptions. Which of the following is not an assumption of the CVP:

The break-even point is that at which:

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler