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The specific heat of many solids at low ...

The specific heat of many solids at low temperature vary with absolute temperature T according to the relation `s=aT^(3)`, where a is a constant. Find the heat energy required to raise the temperature of a mass m of such a solid from `T=0K" to "T=20K`

Text Solution

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`4xx10^(4)ma`
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According to the theory of specific heats of solids at extremely low temperature (close to absolute zero), the temperature The as S=cT^3 where c is a constant depending on the material of the solid Find the heat energy required to raise the temperature of 0.1 kg of the solid from OK to 4K

The specific heat c of a solid at low temperature shows temperature dependence according to the relation c= DT^(3) where D is a constant and T is the temperature in kelvin. A piece of this solid of mass m kg is taken and its temperature is raised from 20K to 30K. The amount of heat required in the process in energy units is

Knowledge Check

  • The specific heat of an ideal gas varies with temperature T as

    A
    A. `CpropT^1`
    B
    B. `CpropT^2`
    C
    C. `CpropT^-1`
    D
    D. `CpropT^0`

  • If the amount of heat required to raise the temperature of a body of mass m through t^@ is H then

    A
    `T prop H/m`
    B
    `t prop mH`
    C
    `T prop m/H`
    D
    `T prop 1/(mH)`

  • The wavelength of de Broglie waves associated with a thermal neutron of mass m at absolute temperature T is given by (k is the Boltzmann constant)

    A
    `(h)/(sqrt(mkT))`
    B
    `(h)/(sqrt(2mkT))`
    C
    `(h)/(sqrt(3mkT))`
    D
    `(h)/(2sqrt(mkT))`

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