Advertisements
Advertisements
प्रश्न
How much should the pressure on a litre of water be changed to compress it by 0.10%?
उत्तर १
Volume of water, V = 1 L
It is given that water is to be compressed by 0.10%.
:.Fractional change, `(triangle V)/V = 0.1/100 xx 1 = 10^(-3)`
`"Bulk modulus", B = rho/((triangle V)/V)`
`p= B xx (triangle V)/V`
Bulk modulus of water, `B = 2.2 xx 10^9 Nm^(-2)`
`p = 2.2 xx 10^(9) xx 10^(-3)`
`= 2.2 xx 10^6 Nm^(-2)`
Therefore, the pressure on water should be 2.2 ×106 Nm–2.
उत्तर २
Here `V = 1 "litre" = 10^(-3) m^3; ("ΔV/V") = 0.10/100 = 10^(-3)`
`K = (pV)/(triangle V)`
or `p = k (triangle V)/V = (2.2 xx 10^9) xx 10^(-3) = 2.2 xx 10^6 Pa`
APPEARS IN
संबंधित प्रश्न
What is the density of water at a depth where the pressure is 80.0 atm, given that its density at the surface is 1.03 × 103 kg m–3?
Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm.
The Marina trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of the water. The water pressure at the bottom of the trench is about 1.1 × 108 Pa. A steel ball of initial volume 0.32 m3 is dropped into the ocean and falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the bottom?
Find the increase in pressure required to decrease the volume of a water sample by 0.01%. Bulk modulus of water = 2.1 × 109 N m−2.
The ratio of adiabatic bulk modulus and isothermal bulk modulus of gas is `("where" γ = "C"_"P"/"C"_"V")`
For an ideal liquid ______.
- the bulk modulus is infinite.
- the bulk modulus is zero.
- the shear modulus is infinite.
- the shear modulus is zero.
To what depth must a rubber ball be taken in deep sea so that its volume is decreased by 0.1%. (The bulk modulus of rubber is 9.8 × 108 Nm–2; and the density of sea water is 103 kg m–3.)
A gas undergoes a process in which the pressure and volume are related by VPn = constant. The bulk modulus of the gas is ______.
A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of the area floats on the surface of the liquid, covering the entire cross-section of the cylindrical container. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere `((dr)/r)`, is ______.
The normal density of a material is ρ and its bulk modulus of elasticity is K. The magnitude of the increase in density of the material, when a pressure P is applied uniformly on all sides, will be ______.
