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Define compressibility....

Define compressibility.

Text Solution

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(i) The reciprocal of the bulk modulus is called compressibility. It is defined as the fractional change in volume per unit increase in pressure.
(ii) From the equation `K = (sigma_(a))/(epsilon_(v)) = -(Delta P)/(Delta V)` we can say that the compressibility
`C = (1)/(K) = (epsilon_(v))/(sigma_(n)) = -(Delta V)/(DeltaP)`
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Define the term compressibility. Give its unit and dimensions.

The approximate depth of an ocean is 2700 m. The compressibility of water is 45.4 xx 10^(-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?

Knowledge Check

  • The compressibility factor is given by

    A
    Z=PV
    B
    Z=nRT
    C
    `Z=(nRT)/(PV)`
    D
    `Z=(PV)/(nRT)`
  • The approximate depth of an ocean is 2700m. The compressibility of water is 45.4xx10^(-11) Pa and density of water is 10^(3) kg. What fractional compression of water will be obtained the bottom of the ocean?

    A
    `1.22xx10^(-2)`
    B
    `1.4xx10^(-2)`
    C
    `0.8xx10^(-2)`
    D
    `1xx10^(-2)`
  • The approximate depth of an ocean is 2700m. The compressibility of water is 4.543xx10^(21) Pa and density of water is 10^(3) kg. What fractional compression of water will be obtained the bottom of the ocean?

    A
    `1.22xx10^(-2)`
    B
    `1.4xx10^(-2)`
    C
    `0.8xx10^(-2)`
    D
    `1xx10^(-2)`
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