Ask Question
27 May, 03:01

An air bubble released by a remotely operated underwater vehicle, 120 m below the surface of a lake, has a volume of 1.40 cm3. The surface of the lake is at sea level, and the density of the lake water can be approximated as that of pure water. As the bubble rises to the surface, the temperature of the water and the number of air molecules in the bubble can each be approximated as constant. Find the volume (in cm3) of the bubble just before it pops at the surface of the lake.

+4
Answers (1)
  1. 27 May, 04:45
    0
    17.7 cm^3

    Explanation:

    depth, h = 120 m

    density of water, d = 1000 kg/m^3

    V1 = 1.4 cm^3

    P1 = P0 + h x d x g

    P2 = P0

    where, P0 be the atmospheric pressure

    Let V2 be the volume of the bubble at the surface of water.

    P0 = 1.01 x 10^5 Pa

    P1 = 1.01 x 10^5 + 120 x 1000 x 9.8 = 12.77 x 10^5 Pa

    Use

    P1 x V1 = P2 x V2

    12.77 x 10^5 x 1.4 = 1.01 x 10^5 x V2

    V2 = 17.7 cm^3

    Thus, the volume of bubble at the surface of water is 17.7 cm^3.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “An air bubble released by a remotely operated underwater vehicle, 120 m below the surface of a lake, has a volume of 1.40 cm3. The surface ...” 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