Home
Class 11
PHYSICS
An ice cube of mass 0.1 kg at 0^@C is pl...

An ice cube of mass 0.1 kg at `0^@C` is placed in an isolated container which is at `227^@C`. The specific heat s of the container varies with temperature T according to the empirical relation `s=A+BT`, where `A= 100 cal//kg.K and B = 2xx 10^-2 cal//kg.K^2`. If the final temperature of the container is `27^@C`, determine the mass of the container.
(Latent heat of fusion for water = `8xx 10^4 cal//kg`, specific heat of water `=10^3 cal//kg.K`).

Promotional Banner

Topper's Solved these Questions

  • Thermal Properties of Matter

    SL ARORA|Exercise Exercise|449 Videos

  • System of particles & rotational Motion

    SL ARORA|Exercise EXERCISE|353 Videos

  • THERMODYNAMICS

    SL ARORA|Exercise Exercise|342 Videos

Similar Questions

Explore conceptually related problems

An ice cube of mass 0.1kg at 0^@C is placed in an isolated container which is at 227^@C . The specific heat S of the container varies with temperature T according to the empirical relation S=A+BT , where A=100 cal//kg-K and B=2xx10^-2cal//kg-K^2 . If the final temperature of the container is 27^@C , determine the mass of the container. (Latent heat of fusion of water = 8xx10^4cal//kg , Specific heat of water= 10^3cal//kg-K ).

Let cube of mass 0.2 kg at 0^@C be placed in a container whose temperature is 127^@C . The specific heat of the container varies with temperature T as s = p+qT^2 , where p = 120 cal/kg K and q = 0.03 cal//kg K^3 . If the final temperature of the container is 27^@C , what will be its mass? Take, latent heat of fusion of water = 8 xx 10^4 cal/kg and specific heat of water = 1000 cal/kg K.

The amount of heat required to raise the temperature of 75 kg of ice at 0°C to water at 10°C is (latent heat of fusion of ice is 80 cal/g, specific heat of water is 1 cal/g °C)

1 g of steam at 100^@C and an equal mass of ice at 0^@C are mixed. The temperature of the mixture in steady state will be (latent heat of steam =540 cal//g , latent heat of ice =80 cal//g ,specific heat of water =1 cal//g^@C )

The water of mass 75 g at 100^(@)C is added to ice of mass 20 g at -15^(@)C . What is the resulting temperature. Latent heat of ice = 80 cal//g and specific heat of ice = 0.5 .

1 kg of ice at 0^(@)C is mixed with 1.5 kg of water at 45^(@)C [latent heat of fusion = 80 cal//gl. Then

A colorimeter contains 400 g of water at a temperature of 5^(@)C . Then, 200 g of water at a temperature of +10^(@)C and 400 g of ice at a temperature of -60^(@)C are added. What is the final temperature of the contents of calorimeter? Specific heat capacity of water -1000 cal //kg//K Specific latent heat of fusion of ice =80xx1000 cal //kg Relative specific heat of ice =0.5

50 g of ice at 0^@C is mixed with 50 g of water at 80^@C . The final temperature of the mixture is (latent heat of fusion of ice =80 cal //g , s_(w) = 1 cal //g ^@C)

20 g of steam at 100^@ C is passes into 100 g of ice at 0^@C . Find the resultant temperature if latent heat if steam is 540 cal//g ,latent heat of ice is 80 cal//g and specific heat of water is 1 cal//g^@C .

SL ARORA-Thermal Properties of Matter-Exercise
  1. Two rods, one of aluminium and the other made of steel, having initial...

    Text Solution

    |

  2. When a block of iron in mercury at 0^@C, fraction K1of its volume is s...

    Text Solution

    |

  3. An ice cube of mass 0.1 kg at 0^@C is placed in an isolated container ...

    Text Solution

    |

  4. Hot oil is circulated thorugh an insulated container with a wooden lid...

    Text Solution

    |

  5. The temperature of the two outer surfaces of a composite slab, consist...

    Text Solution

    |

  6. A 5 m long cylindrical steel wire with radius 2xx10 ^(-3) m is sus...

    Text Solution

    |

  7. A sphete of deamrter 7.0 cm and mass 266.5 g float in a bath of liquid...

    Text Solution

    |

  8. The triple point of neon and carbon dioxide are 24.57K and 216.55K res...

    Text Solution

    |

  9. Two absolute scales A and B have triple points of water defined to be ...

    Text Solution

    |

  10. The electrical resistance in ohms of a certain thermometer varies with...

    Text Solution

    |

  11. Answer the following : (a) The triple-point of water is a standard...

    Text Solution

    |

  12. Answer the following : (a) The triple-point of water is a standard...

    Text Solution

    |

  13. Answer the following : (a) The triple-point of water is a standard...

    Text Solution

    |

  14. A steel tape 1m long is correctly calibrated for a temperature of 27^(...

    Text Solution

    |

  15. a large steel wheel is to be fitted on to a shaft of the same material...

    Text Solution

    |

  16. A hole is drilled in a copper sheet. The diameter of the hole is 4.24c...

    Text Solution

    |

  17. A brass wire 1.8 m long at 27^(@)C is held taut with little tension be...

    Text Solution

    |

  18. A brass rod of length 50 cm and diameter 3.0 mm is joined to a steel r...

    Text Solution

    |

  19. The coefficient of volume expansion of glycerine is 49 xx 10^(-5)//^(@...

    Text Solution

    |

  20. A 10 kW drilling machine is used to drill a bore in a small aluminium ...

    Text Solution

    |