The approximate depth of an ocean is 2700 m. The compressibility of water is 45.4 10-11 Pa-1 and density of water is 103 kg/m3. What fractional compression of water will be obtained at the bottom of the ocean?
- 1.2 10-2
- 1.4 10-2
- 0.8 10-2
- 1.0 10-2
Answer
(1) 1.2 10-2
Solution
Pressure at the bottom (excess over the surface): P = h g = 2700 103 9.8 = 2.646 107 Pa
Compressibility k = 1B = V/VP
VV = kP = 45.4 10-11 2.646 107
= 1.2 10-2
Answer: (1)