Home
Class 11
PHYSICS
A hollow cube of metal has sides measuri...

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)`.

Text Solution

Verified by Experts

The correct Answer is:
`34.56kg`
Promotional Banner

Topper's Solved these Questions

  • COMPOSITION AND RESOLUTION OF VELOCITIES

    NN GHOSH|Exercise Exercise|25 Videos

  • DOPPLER EFFECT

    NN GHOSH|Exercise EXERCISES|24 Videos

Similar Questions

Explore conceptually related problems

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 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)

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)) .

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)

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) .

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 .

The lower surface of a slab of stone of face-area 3600cm^(2) and thickness 10cm is exposed to steam at 100^(@)C . A block of ice at 0^(@)C rests on the upper surface of the slab. 4.8g of ice melts in one hour. Calculate the thermal conductivity of the stone. Latent heat of fusion of ice =3.36xx10^(5) J kg^(-1)

A layer of ice 29 cm thick has formed on a pond. The temperature of air is -10^(@)C . Find how long will it take for another 0.1 cm layer of water to freeze? Conductivity of ice = 2.1 J s^(-1)m^(-1)K^(-1) . Latent heat capacity of ice =3.36 xx 10^(5) J kg^(-1) and density of ice = 1000 kg m^(-3) .

A cubical thermocol ice box of side length 30cm has thichess of 5.0cm If 4.0kg of ice is put in the box estimate the amount of ice remaining after 6hr The utside temperature is 45^(@)C and co-efficinet of the thermal conductivity of the thermocol is 0.01 J s^(-1) m^(-1) K^(1) (Latent Heat of fusion of water =335 xx 10^(3) Jkg^(-1)) .

A piece of ice of mass of 100g and at temperature 0^(@)C is put in 200g of water of 25^(@) How much ice will melt as the temperature of the water reaches 0^(@)C ? The specific heat capacity of water = 4200 J kg ^(-1)K^(-1) and the latent heat of ice = 3.36 xx 10^(5)J kg^(-1)

NN GHOSH-CONDUCTION OF HEAT AND RADIATION-All Questions
  1. There slabs of thickness d(1), d(2), d(3) and thermal conductivites la...

    Text Solution

    |

  2. Two rods of material, x and two of y are connected as shown in the fig...

    Text Solution

    |

  3. A solid copper sphere (density =8900kgm^(-3) and specific heat C=390Jk...

    Text Solution

    |

  4. The radiancy of a black body is M(e)=3.0W//cm^(2). Find the wavelength...

    Text Solution

    |

  5. A thin wire of length l=50cm and area of cross-section S=3xx10^(-4)m^(...

    Text Solution

    |

  6. A furnace is at a temperature of 2000K. At what wavelength does it emi...

    Text Solution

    |

  7. A slab consists of two parallel layers of different materials 4cm and ...

    Text Solution

    |

  8. Heat is conducted through a slab composed of paralel layers of two dif...

    Text Solution

    |

  9. Calculate the thermal resistance of an aluminium rod of length 20cm an...

    Text Solution

    |

  10. Show that if three slabs of thermal resistance R(1), R(2) and R(3) are...

    Text Solution

    |

  11. A hollow cube of metal has sides measuring 0.8cm (internal) and thicke...

    Text Solution

    |

  12. A hollow glass sphere whose thicknes is 2mm and external radius is 10c...

    Text Solution

    |

  13. Three rods of material x and three of material y are connected as show...

    Text Solution

    |

  14. A closed cubical box is made of perfectly insulating material and the ...

    Text Solution

    |

  15. A room at 20^@C is heated by a heater of resistence 20 ohm connected t...

    Text Solution

    |

  16. Two chunks of metal with heat capacities C(1) and C(2), are interconne...

    Text Solution

    |

  17. Two rods whose lengths are l1 and l2 and heat conductivity coefficien...

    Text Solution

    |

  18. A rod of length l with thermally insulated lateral surface is made of ...

    Text Solution

    |

  19. The temperature of the tungsten filament of a 60-watt electric bulb is...

    Text Solution

    |

  20. The radiant emittance of a black bodyt is R=250kW//m^(2). At what wave...

    Text Solution

    |