French Garrett
07/27/2023 · Senior High School
Acrop with a rootzone depth of 1.0 m is to be grown in a sandy sol. Determine the sol moisture h8ding capacity given that Field capacity \( =33 \% \) Wilting point \( =23 \% \) Doy sal density \( =1123.3 \mathrm{~kg} \mathrm{~m}^{3} \) Deusity of water \( =100 \mathrm{~kg} \mathrm{M}_{-3} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To determine the soil moisture holding capacity, we need to calculate the difference between the field capacity and the wilting point, and then convert that to a volume of water per unit area of soil.
1. **Calculate the available water capacity (AWC)**:
\[
\text{AWC} = \text{Field Capacity} - \text{Wilting Point}
\]
Given:
- Field Capacity = 33% = 0.33 (as a decimal)
- Wilting Point = 23% = 0.23 (as a decimal)
\[
\text{AWC} = 0.33 - 0.23 = 0.10 \text{ (or 10%)}
\]
2. **Convert AWC to volume of water per unit area**:
The AWC represents the volume of water that can be held in the soil per unit volume of soil. To find the volume of water that can be held in a root zone depth of 1.0 m, we can use the following formula:
\[
\text{Volume of water} = \text{AWC} \times \text{Depth} \times \text{Bulk Density}
\]
Where:
- Depth = 1.0 m
- Bulk Density = 1123.3 kg/m³
First, we need to convert the AWC from a percentage to a volume in m³ of water per m³ of soil:
\[
\text{Volume of water} = 0.10 \times 1.0 \, \text{m} \times 1123.3 \, \text{kg/m}^3
\]
Since the density of water is 1000 kg/m³, we can convert the mass of water to volume:
\[
\text{Volume of water} = 0.10 \times 1.0 \, \text{m} \times 1123.3 \, \text{kg/m}^3 \times \frac{1 \, \text{m}^3}{1000 \, \text{kg}} = 0.11233 \, \text{m}^3
\]
3. **Final Result**:
The soil moisture holding capacity for the root zone depth of 1.0 m in the sandy soil is approximately **0.11233 m³ of water per m² of soil**.
This means that for every square meter of soil, the available water capacity is about 112.33 liters.
Quick Answer
The soil moisture holding capacity for a 1.0 m root zone depth in sandy soil is about 0.11233 m³ of water per m² of soil.
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit