Home
Class 11
PHYSICS
hollow metal with side 0.5m and wall thi...

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`

Text Solution

Verified by Experts

The correct Answer is:
A
Let mass of ice melted `m, mL_(ice) = (KA(Deltatheta)t)/(x)`
`:.m=(Q)/(L_(ice))=(K(6A)(Deltatheta)t)/(L_(ice)xX),x=`wall thickness A =area of each face .
Promotional Banner

Topper's Solved these Questions

  • TRANSMISSION OF HEAT

    NARAYNA|Exercise LEVEL-I(H.W)|19 Videos

  • THERMODYNAMICS

    NARAYNA|Exercise Exercise|187 Videos

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise STATEMENT TYPE QUESTION|23 Videos

Similar Questions

Explore conceptually related problems

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)

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) .

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 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) .

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) )

What is meant by saying that the latent heat of fusion of ice is 3.34 xx 10^(5)J//kg ?

Calculate the amount of heat required to convert5g of ice of 0^(@)C into water at 0^(@)C . ( Specific latent heat of fusion of ice 80 cal //g )

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)) .

NARAYNA-TRANSMISSION OF HEAT-LEVEL-II(C.W)
  1. Three rods of lengths L,21 and 3L having thermal conductivities 3K,2K ...

    Text Solution

    |

  2. Three rods of identical cross-sectional area and made from the same me...

    Text Solution

    |

  3. hollow metal with side 0.5m and wall thickess 5 xx 10^(-3)m is filled ...

    Text Solution

    |

  4. One end of thermally insulated rod is kept at a temperature T(1) and t...

    Text Solution

    |

  5. The temperature of a furnace is 2227^(@)C and the intensity is maximum...

    Text Solution

    |

  6. Black body at a temperature of 1640K has the wavelength corresponding ...

    Text Solution

    |

  7. A particular star (assuming it as a black body) has a surface temperat...

    Text Solution

    |

  8. The power radiated by a black body is 'P' and it radiates maximum ener...

    Text Solution

    |

  9. There is a temperature difference of 1K between two black patches of s...

    Text Solution

    |

  10. A black body radiates energy at the rate of E "watt"//m^(2) at a high ...

    Text Solution

    |

  11. The radiant energy from the Sun incident normally at the surface of ea...

    Text Solution

    |

  12. A star behaves like perfeact Black body emitting radiant energy The ra...

    Text Solution

    |

  13. Two spherical bodies have radii R,2R and emissivities e,2e If the temp...

    Text Solution

    |

  14. The temperature of a body is increased by 50%. The amount of radiation...

    Text Solution

    |

  15. A solid sphere is at a temperature T.K The sphere is cut into two halv...

    Text Solution

    |

  16. A black metal foil is warmed by radiation from a small sphere at tempe...

    Text Solution

    |

  17. Power radiated by a black body is P0 and the wavelength corresponding ...

    Text Solution

    |

  18. A body cools from 70^(@)C to 50^(@)C in 5minutes Temperature of surrou...

    Text Solution

    |

  19. The bodies have thermal capacities in the ratio 3:4 and the rates of l...

    Text Solution

    |

  20. A calorimeter of water equivalent 6g has water of mass 64g up to a cer...

    Text Solution

    |