Question

The field capacity (FC) of a 45-cm layer of soil is 18% and a permanent wilting point

of 9.7%. The soil has a bulk density of 1.2 g/cm3
. How much water in cubic metres per
hectare does this layer hold

Answer 1

373.5 m³/ha

Step-by-step explanation:

You want to know the volume in cubic meters per hectare of the difference between 18% and 9.7% of a layer 45 cm deep.

Capacity

The capacity of interest is the difference between 18% and 9.7% of the volume of the given layer of soil. That is equivalent to a depth of ...

(0.45 m)(18% -9.7%) = 0.03735 m

Volume

Over an area of 1 ha = (100 m)², the volume of this amount of water is ...

V = Bh = (100 m)²(0.03735 m) = 373.5 m³

The 45 cm layer of soil will hold 373.5 cubic meters of water per hectare.

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Additional comment

The given percentages are volume percentages, not mass percentages, so the density of the soil is irrelevant.

Sometimes, this measure is expressed as a depth of water in the soil layer. That depth would be 37.35 mm.

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