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A vessel of surface area 1m^(2) made of ...

A vessel of surface area `1m^(2)` made of a copper sheet of thicknes `5mm` is filled with melting ice and is immersed in water at `100^(@)C`. Calculate the rate at which the ice melts. The conductivity of copper is `302.4Js^(-1)m^(-1)K^(-1)` and the latent heat of fusion of ice is `336xx10^(3)Jkg^(-2)`

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A hollow glass sphere whose thicknes is 2mm and external radius is 10cm is filled with ice and placed in a bath containing boiling water at 100^(@)C . Calculate the rate of which the ice melts. Thermal conductivity of glass =1.1Js^(-1) m^(-1) K^(-1) and L of ice =336xx10^(3)Jkg^(-1) .

A hollow cube of metal has sides measuring 0.8cm (internal) and thickenes 0.5cm . It is filled with ice 0^(@)C and immersed in boiling water at 100^(@)C . How many kg of ice will melt in one minute? Thermal conductivity of metal =252Jm^(-1)s^(-1)K^(-1) and latent heat capacity of ic e =336xx10^(3)Jkg^(-1) .

Knowledge Check

  • hollow metal with side 0.5m and wall thickess 5 xx 10^(-3)m is filled with ice It is immersed in water tank maintained at 100^(@)C Calculate the amount of ice melted in 335sex (Conductivity of metal) = 0.5 W m^(-1) K^(-1) Letent heat of fusion of ice =335 xx 10^(3) Jkg^(-1)) .

    A
    `15kg`
    B
    `15g`
    C
    `1.5kg`
    D
    `1.5g`

  • If 10 g of ice is added to 40 g of water at 15^(@)C , then the temperature of the mixture is (specific heat of water = 4.2 xx 10^(3) j kg^(-1) K^(-1) , Latent heat of fusion of ice = 3.36 xx 10^(5) j kg^(-1) )

    A
    `15^(@)C`
    B
    `12^(@)C`
    C
    `10^(2)C`
    D
    `0^(@)C`

  • A slab of stone area 3600 cm^(2) and thickness 10cm is exposed on the lower surface to steam at 100^(@)C A block of ice at 0^(@)C rest on upper surface of the slab. In one hour 4.8kg of ice is melted. The thermal conductivity of the stone in Js^(-1)m^(-1)k^(-1) is (latent heat of ice =3.36 xx 10^(5) J//Kg .

    A
    `12.0`
    B
    `10.5`
    C
    `1.02`
    D
    `1.24`

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    10 g of ice is added in 40 g of water at 15^@C. Calculate the temperature of the mixture. Sp. Heat of water = 4.2 xx 10^3 J kg^(-1) K^(-1), Latent of fusion of ice = 3.36 xx 10^5 J kg^(-1)

    A piece of ice of mass 40 g is dropped into 200 g of water at 50^(@)C . Calculate the final temperature of water after all the ice has melted (sp. heat capacity of water = 4200 J//kg^(@)C , sp. latent heat of fusion of ice = 336 xx 10^(3) J//kg )

    The ice is filled in a hollow glass sphere of thickness 2mm and external radius 10cm . This hollow glass sphere with ice now placed in a bath containing boiling water at 100^(@)C . Calculate the rate at which ice melts. Neglect volume change in ice. (Given, thermal conductivity of glas 1.1W//m//K , latent heat of ice =336xx10^(3)J//kg)

    Find the result of mixing 1kg of ice at 0^(@)C with 1.5kg of water at 45^(@)C . (Specific latent heat of fusioin of ice =336xx10^(3)Jkg^(-1) )

    Calculate the rate of increment of the thickness of the layer of ice on a lake when the thickness of is 20cm and the air temperature is -40^(@)C . Thermal conductivity of ice =1.68Ks^(-1)m^(-1)K^(-1) , density of ice 920kgm^(-3) and latent heat capacity of ice =336xx10^(3)Jkg^(-1)K^(-1) .

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