The transpiration ratio of a native meadow is 550 kg per kg of dry matter produced.If 4 Mg of dry matter is produced on a hectare of land,how many centimeters of water will be required (rounded to the nearest cm)?
A)46
B)220
C)14
D)22
E)Not possible to calculate

Question

Quizplus · Accepted Answer

To calculate the amount of water required, we need to use the transpiration ratio, which is given as 550 kg of water per kg of dry matter produced. We know that 1 hectare of land produces 4 Mg (mega-grams = 1000 kgs) of dry matter. Therefore, the total dry matter produced on 1 hectare of land is:

4 Mg = 4,000 kg

To find out how much water is required, we can use the transpiration ratio:

550 kg water / 1 kg of dry matter produced

Multiplying both sides by 4,000 kg of dry matter, we get:

550 kg water / 1 kg of dry matter * 4,000 kg of dry matter = 2,200,000 kg of water

Therefore, 2,200,000 kg of water is required to produce 4 Mg of dry matter on 1 hectare of land.

To convert this into centimeters of water, we need to know the area of the land in square meters. Since 1 hectare is equal to 10,000 square meters, we can use this to calculate the depth of water required:

2,200,000 kg of water / 10,000 m² = 220 kg/m²

1 kg/m² = 1 mm of water, so:

220 kg/m² = 220 mm of water

Rounding to the nearest cm, we get:

220 mm = 22 cm

Therefore, the answer is (D) 22.

The Transpiration Ratio of a Native Meadow Is 550 Kg