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The mean value of the coefficient of rea...

The mean value of the coefficient of real expansion of mercury is `18.2 times 10^(-5@)C^(-1)`. Density of mercury at `20^(@)C` is `13.55g*cm^(-3)`. At what higher temperature, will the error in the measurement of density be 1%?

Text Solution

Verified by Experts

The correct Answer is:
`74.94^(@)C`
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A container is filled up to the brim with 500 g of water and 1000 g of mercury. When 21200 cal of heat is supplied to the system, 3.52 g of water flows out of the container. Neglecting the expansion of the container, find the coefficient of real expansion of mercury. Given, volume expansion coefficient of water =1.5 times 10^(-4@)C^(-1) , density of mercury =13.6g*cm^(-3) , density of water 1g*cm^(-3) and specific heat capacity of mercury =0.03cal*g^(-1)*""^(@)C^(-1).

Knowledge Check

  • The value of coefficient of volume expansion of glycerin is 5xx10^4K^(-1) . The fractional chage in the density of glycerin for a rise of 40^@C in its temperature, is :

    A
    `0.020`
    B
    `0.025`
    C
    `0.010`
    D
    `0.015`
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