Home
Class 11
PHYSICS
Compressibility of water is 5xx10^(-10)m...

Compressibility of water is `5xx10^(-10)m^(2)//N`. Find the decrease in volume of `100 mL` of water when subjected to a pressure of `15 MPa`.

Text Solution

AI Generated Solution

To solve the problem, we need to calculate the decrease in volume of water when subjected to a specific pressure using the given compressibility. Here's the step-by-step solution: ### Step 1: Understand the given values - Compressibility of water, \( K = 5 \times 10^{-10} \, \text{m}^2/\text{N} \) - Initial volume of water, \( V_0 = 100 \, \text{mL} = 100 \times 10^{-6} \, \text{m}^3 \) (since \( 1 \, \text{mL} = 10^{-6} \, \text{m}^3 \)) - Pressure applied, \( P = 15 \, \text{MPa} = 15 \times 10^6 \, \text{N/m}^2 \) ### Step 2: Use the formula for change in volume ...
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS ENGLISH|Exercise Solved Examples|11 Videos
  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 5.1|12 Videos
  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS ENGLISH|Exercise Integer type|1 Videos
  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS ENGLISH|Exercise Integer|11 Videos

Similar Questions

Explore conceptually related problems

The compressibility of water is 4xx10^-5 per unit atmospheric pressure. The decrease in volume of 100 cubic centimetre of water under a pressure of 100 atmosphere will be

The compressibility of water is 5 xx 10^(-10) m^(2)//N . If it is subjected to a pressure of 15 MPa, the fractional decrease in volume will be-

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

The volume of a solid is 6 xx 10^(-3) m^(3) under 2 atm pressure. Find the change in volume when subjected to a pressure of 102 atm. Bulk modulus of the material = 10^(11) Nm^(-2) .

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 .

If compressibility of material is 4xx10^(-5) per atm, pressure is 100 atm and volume is 100 cm^(3) then find triangleV=?

If the compressibility of water is sigma per unit atmospheric pressure, then the decrease in volume V due to atmospheric pressure P will be

The approximate depth of an ocean is 2700m . The compressibility of water is 45.4xx10^(-11)Pa^-1 and density of water is 10^3(kg)/(m^3) . What fractional compression of water will be obtained at the bottom of the ocean?

When water is boiled at 2 atm pressure the latent heat of vaporization is 2.2xx10^(6) J//kg and the boiling point is 120^(@)C At 2 atm pressure 1 kg of water has a volume of 10^(-3)m^(-3) and 1 kg of steam has volume of 0.824m^(3) . The increase in internal energy of 1 kg of water when it is converted into steam at 2 atm pressure and 120^(@)C is [ 1 atm pressure =1.013xx10^(5)N//m^(2) ]

The bulk modulus of water is 2.3 xx 10^(9) Nm^(-2) . (i) Find its compressibility. (ii) How much pressure in atmosphere is needed to compress a sample of water by 0.1%