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The coefficient of volume expansion of a...

The coefficient of volume expansion of a liquid is `gamma` and its density at `0^(@)C` is `rho`. If the temperature is increased to `t^(@)C` then the change in density will be

A

`(rho(1-gammat))/(gammat)`

B

`-(rho(1+gammat))/(gammat)`

C

`(rhogammat)/(1-gammat)`

D

`-(rhogammat)/(1-gammat)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The coefficient of real expansion of a liquid is gamma and the coefficient of apparent expansion is gamma^(') . Units of these are

    A
    both `""^(@)C^(-1)`
    B
    both `m^(3)*""^(@)C^(-1)`
    C
    `""^(@)C^(-1) " for " gamma " and " m^(3)*""^(@)C^(-1) " for " gamma^(')`
    D
    `m^(3)*""^(@)C^(-1) " for " gamma " and " ""^(@)C^(-1) " for " gamma^(')`

  • At constan pressure , if the temperature of a gas is increased then its density

    A
    remains the same
    B
    decreases
    C
    increases
    D
    increases or decreases depending on the nature of the gas

  • The coefficients of real expansion of a liquid is gamma and the coefficient of linear expansion of the material of the containing vessel is alpha . Then the condition for no apparent expansion of the liquid in that vessel is

    A
    `gamma=alpha`
    B
    `gamma=3alpha`
    C
    `gamma lt alpha`
    D
    `gamma gt 3alpha`

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