The Bulk Modulus Of Ocean Water

Volume of the same mass m of water at the given depth is. Heat Transport and Energetics of the Earth and Rocky Planets 2020.

Bulk Modulus And Fluid Elasticity

Estimate the change in the density of water in ocean at a depth of 400 m below the surface.

The bulk modulus of ocean water. It is defined as the ratio of pressure stress to volumetric strain. The decrease in volume under the pressure p is. The pressure at that point is huge about 113 x10 8 Nm 2.

Begingroup No you cant assume that the bulk modulus just remains a constant for very high pressures although the bulk modulus of water remains fairly constant for pressures as high as that at the deepest point in the ocean about 1 kbar of pressure. That means water compresses by about 2 at. Change in volume dV.

The density of water at the surface of the ocean is ρ and atmospheric pressure is p 0. The density of water at the surface of ocean is ρ ρ. V V V V-VpB V1- pB VB B- p Density of water at that depth is.

At 5000m depth the pressure of a column of water is about 120 GPa. K - dp dV V 0 - p 1 - p 0 V 1 - V 0 V 0 1 where. The pressure at that point is huge about 113 x10 8 Nm 2.

Let V be the volume of a certain mass m of water at the surface so that m ρV. The bulk modulus of water is 61 10 10 Nm². Take g 10 m s 2 Answer.

ρB B n 1P 0 ρ B B n - 1 P 0. The Bulk Modulus Elasticity - or Volume Modulus - is a material property characterizing the compressibility of a fluid - how easy a unit volume of a fluid can be changed when changing the pressure working upon it. If the bulk modulus of water is B B then the density of ocean water at depth when the pressure at a depth is αp0 α p 0 and p0 p 0 is the atmospheric pressure is.

The Bulk Modulus Elasticity can be calculated as. Find its density at the bottom. ρ mV ρVV ρVVB B-.

The bulk modulus of water is 22 x 109 Pascals. B The density of water at the surface is 103 x10 3 kgm 3. The inverse of the bulk modulus K is called the compressibility.

A The deepest point in the ocean is in the Mariana Trench about 11 km deep. 13ρup2BS43Gandρus2Gwhere BS is the isentropic bulk modulus and G is the shear modulus. For most purposes a liquid may be considered as incompressible.

The density of water at the surface 1030 kg m 3 and the bulk modulus of water 2 10 9 N m 2. P hρ g 3000 m 1000 kg m 3 10 m s 2. X 10 9 Nm2 or Newtons per square meter.

Simply so what is the bulk modulus of a fluid. The bulk modulus of water is 2. The pressure required to increase the density of water by 0.

The bulk modulus measures the elasticity of a material when its under pressure on any kind of surface. The density of water at the surface of the ocean is ρ and a. Bulk Modulus is a measure of the resistance of a fluid to compression.

The density of water at the surface of the ocean is ρ and atmospheric pressure is p 0. What is the change in volume of the sphere. 1 1 0 9 N m 2.

Water has a bulk modulus of approximately 300000 psi 21 GPa and therefore a compressibility of 33 106 psi1. Original Volume 0305 m³ Pressure dP 2 10 7 Nm²² Bulk modulus of elasticity K 61 10 10 Nm². Calculate the fractional compression ΔVV of water at the bottom of the ocean given that the bulk modulus of water is 22 10 9 N m 2.

If the bulk modulus of water is K what is the density of ocea. The value of bulk modulus equals. Bulk moduli are linked to density ρ and largely control up via.

Calculate the fractional compression Δ V V of water at the bottom of the ocean given that the bulk modulus of water is 22. THE PRESSURE EXERTED BY THE COLUMN OF WATER ON THE BOTTOM LAYER IS Pρgh 3000m x 1000kgm3 x 10ms2 3 x 107 kgms2 3 x 107 Nm2 FRACTIONAL COMPRESSION VV IS VV STRESSB 3 x107 Nm222 x 109 Nm2 136 x 10-2 or 136. Water has a bulk modulus of about 2 GPa.

The average depth of Indian Ocean is about 3000 m. The bulk modulus of elasticity of water is approximately 22 GNm 2 which corresponds to a 005 change in volume for a change of 1 MNm 2 in pressure. Calculate the fractional compression ΔVV of water at the bottom of ocean given that the bulk modulus of water is.

Another equation for the bulk modulus of water is 22. Bulk modulus of the ocean is 22 x 109 nm2 g 10 ms2 7. - The pressure exerted by a 3000 m column of water on the bottom layer.

The average depth of ocean is 2500 m. 3 107 kg m 1 s. A solid brass sphere of volume 0305 m³ is dropped in an ocean where water pressure is 2 10 7 Nm².

ρB B n 1P 0 ρ B B - n - 1 P 0. This number increases as the water comes under more pressure. Water has a bulk modulus of approximately 300000 psi 21 GPa and therefore compressibility of 33 106 psi.

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