Calculate the permanent welting point if the depth of water in the roo...
Calculation of Permanent Wilting Point
Given Parameters:
- Depth of water in the root zone at the permanent wilting point per meter depth of soil = 0.4m
- Dry density of soil = 16kN/cubic meter
Explanation:
Permanent wilting point is the point at which the plants cannot extract water from the soil, and hence they wilt permanently. It is a critical parameter in agriculture as it determines the water-holding capacity of soil. The depth of water in the root zone at the permanent wilting point per meter depth of soil is a measure of the water-holding capacity of the soil.
Calculation:
The formula for the water-holding capacity is as follows:
Water-holding capacity (WHC) = (θ_fc - θ_pwp) x ρd
Where,
θ_fc = volumetric water content at field capacity
θ_pwp = volumetric water content at permanent wilting point
ρd = dry density of soil
Given, ρd = 16 kN/cubic meter
Let's assume the volumetric water content at field capacity (θ_fc) to be 0.35.
Now, we can calculate the volumetric water content at permanent wilting point (θ_pwp) using the given depth of water in the root zone at the permanent wilting point per meter depth of soil.
θ_pwp = θ_fc - (depth of water in the root zone) = 0.35 - 0.4 = -0.05
However, the volumetric water content cannot be negative. Hence, the permanent wilting point cannot be determined for this soil.
Conclusion:
The permanent wilting point cannot be determined for the given soil as the volumetric water content at the permanent wilting point is negative. It means that the soil does not have the capacity to hold enough water for plant growth.