Home
Class 11
PHYSICS
A hydraulic press contains 0.25 m^(3)(25...

A hydraulic press contains `0.25 m^(3)(250L)` of oil. Find the decrease in volume of the oil wen it is subjected to a pressure increase `/_\p=1.6xx10^(7)Pa`. The bulk modulus of the oil is `B=5.0xx10^(9)Pa`.

Text Solution

Verified by Experts

`B=-(/_\p)/(/_\V//V_0)=-((0.25m^(3))(1.6xx10^(7)Pa))/(5.0xx10^(9)Pa)`
`=-8.0xx10^(-4)m^(3)=-0.80L`
Even through the pressure increase is very large, the fractional change in volume is very small.
`:./_\V//V_0=(-8.0xx10^(-4)m^(3))/(0.25m^(3))=-0.0032` or `-0.32%`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise Solved Examples|11 Videos

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise Exercise 5.1|12 Videos

  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS|Exercise Integer type|1 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS|Exercise Integer|11 Videos

Similar Questions

Explore conceptually related problems

Compute the fractional change in volume of a glass slab, when subjected to a uniform pressure of 1.013xx10^(6)Pa . Bulk modulus of elasticity of glass =37xx10^(9)Nm^(-2) .

Calculate the volume change of a solid copper cube, 40 mm on each edge, when subjected to a pressure of 2xx10^(7) Pa. The bulk modulus for copper is 1.25xx10^(11) Nm^(-2) .

A spherical ball contracts in volume by 0.0098% when subjected to a pressure of 100 atm. Calculate its bulk modulus. Given 1 atm =1.01xx10^(5) Nm^(-2) .

Find the change in volume of a lead block of volume 2 m^(3) Which is subjected to pressure of 20 atm. (Take, 1 atm = 1.013 xx 10^(5) N//m^(2) and bulk modulus = 8 xx 10^(9) N//m^(2) )

A fractinal change in volume of oil is i percent . When a pressure f 2xx10^(7) N//m^(2) is applied. Caluclate the bulk modulus and its compressibiliyt.

What increases in pressure will be needed to decrease the volume of 1.0 m^(3) of water by 10c.c. ? The bulk modulus of water is 0.21xx10^(10) Nm^(-2)

By howmuch the pressure on one litre of water be changed to compress it 0.2% ? Given the bulk modulus of water -2.2 xx 10^(9)Pa .

Compressibility of water is 5 xx 10^(-10) m^(2) N^(-1) . The change in volume of 100 mL water subjected to 15 xx 10^(6) Pa pressure will be

The compressibility of water is 6xx10^-10N^-1m^2 . If one litre is subjected to a pressure of 4xx10^7Nm^-2 , The decrease in its volume is

Determine the vlume contraction of a solid copper cube, 10 cm on an edge when subjected to hydraulic pressure of 7 xx 10^(6)Pa . Bulk modulus of copper = 140 Gpa.