Ask Question
Today, 12:14

The leaves of a tree lose water to the atmosphere via the process of transpiration. A particular tree loses water at the rate of 3 x 10^-8 m^3/s; this water is replenished by the upward flow of sap through vessels in the trunk. This tree's trunk contains about 2000 vessels, each 100Mu m in diameter. What is the speed of the sap flowing in the vessels?

+3
Answers (1)
  1. Today, 14:08
    0
    The speed of the sap flowing in the vessel is 1.90 mm/s

    Explanation:

    Given:

    The rate of water loss, Q = 3 * 10 ⁻⁸ m³/s

    Number of vessels contained, n = 2000

    Diameter of the vessel, D = 100 Mu m

    thus, the radius of the vessel, r = 50 * 10⁻⁶ m

    Now, the rate of flow is given as:

    Q = AV ... (1)

    where, A is the area of the cross-section

    V is the velocity

    Total area, A = n * (πr²)

    substituting the values in the equation (1), we get

    3 * 10 ⁻⁸ m³/s = [2000 * (π * (50 * 10⁻⁶) ²) ] * V

    or

    V = 1.909 * 10⁻³ m/s or 1.90 mm/s

    Hence, the speed of the sap flowing in the vessel is 1.90 mm/s
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “The leaves of a tree lose water to the atmosphere via the process of transpiration. A particular tree loses water at the rate of 3 x 10^-8 ...” in 📘 Physics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers