Home
Class 12
PHYSICS
A block of ice at -20^(@)C having a mass...

A block of ice at `-20^(@)C` having a mass of 2kg is added to a 3kg water at `15^(@)C`. Neglecting heat losses and the heat capacity of the container

A

The final temperature will be less than `0^(@)C`

B

Ice will completely melt

C

Water will partially freeze

D

Final temperature will be more than `0^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
3
`Q_(reqd) =2000xx1/2 xx(0-20) =20000 cal`
`Q_(av)=3000xx1xx (15-0) =45000 cal`
`Q_("reqd to melt")=2000xx80 =160000`
`to ` not sufficient
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (A)|32 Videos

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (B)|3 Videos

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART- C|4 Videos

  • SEMICONDUCTORS

    BANSAL|Exercise CBSE Question|32 Videos

Similar Questions

Explore conceptually related problems

4 kg of ice at -15^(@)C are added to 5 kg of water at 15^(@)C . The temperature of the mixture equals

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

2 kg of ice at -20^@C is mixed with 5 kg of water at 20^@C in an insulating vessel having a negligible heat capacity. Calculate the final mass of water (in kg) remaining in the container.

Calcuate the heat required to convert 0.6 kg of ice at - 20^(@)C , kept in a calorimeter to steam at 100^(@)C at atmospheric pressure. Given the specific heat capacity of ice =2100 j kg^(-1) K^(-1) , specific heat capacity of water =4186 j kg^(-1) K^(-1) latent heat ice =3.35xx10^(5) j kg^(-1) and latent heat of steam =2.256xx10^(6)j kg^(-1)

A vessel contains 10^(–1) kg of ice at 0^(@)C . Now steam is passed into the vessel to melt ice. Neglecting the thermal capacity of the vessel, find the mass of water in the vessel when all ice melts into water.

suppose you want to cool 0.25 kg of cola (mostly water ), at 25^(@)C by adding ice initially at -20^(@)C . How much ice should you add so that the final temperature will be 0^(@)C with all the ice melt? Neglect the heat capacity of the container. specific heat of ice is 2000 Jkg^(-1)K^(-1) . [take specific heat of cola 4160 Jkg^(-1)K^(-1) .]

A sphere of alumininum of mass 0.047 kg placed for sufficient time in a vessel containing boling water, so that the sphere is at 100^(@)C . It is then immediately transferred to 0.14 kg copper calorimeter containing 0.25 kg of water at 20^(@) C . The temperature of water rises and attains a steady state at 23^(@)C . calculate the specific heat capacity of aluminum. Specific heat capacity of copper = 0.386 xx 10^(3) J kg^(-1) K^(-1) . Specific heat capacity of water = 4.18 xx 10^(-3) J kg^(-1) K^(-1)

2 kg of ice at -15^@C is mixed with 2.5 kg of water at 26^@C in an insulating container. If the specific heat capacities of ice and water are 0.5 cal//g^@C and 1 cal//g^@C , find the amount of water present in the container? (in kg nearest integer)

Find the final temperature and composition of the mixtue of 1 kg of ice at 0^(@)C and 1.5 kg of water at 45^(@)C . Given that specific heat of water is 4200 J/kg and latent heat of fusion of ice is 3.36xx10^(5)J//kg

BANSAL-TEST PAPERS-PHYSICS
  1. A gun of mass M at rest on a smooth surface fires a shell of mass m. t...

    Text Solution

    |

  2. How many gm of ice at -20^(@)C are needed to cool 200 gm of water from...

    Text Solution

    |

  3. A block of ice at -20^(@)C having a mass of 2kg is added to a 3kg wate...

    Text Solution

    |

  4. A car starts with constant acceleration a=2m//s^(2) at t=0. two coins ...

    Text Solution

    |

  5. In the figure the variations of componets of acceleration of particles...

    Text Solution

    |

  6. In the figure (i) a uniform string is fixed at one end and the other e...

    Text Solution

    |

  7. The bulk modulus of a perfectly rigid body is

    Text Solution

    |

  8. A force of 400 kg. weight can break a wire. The force required to brea...

    Text Solution

    |

  9. A mass m moving with a constant velocity along a line parallel to the ...

    Text Solution

    |

  10. A disc is performing pure rolling on a smooth stationary surface with ...

    Text Solution

    |

  11. Equal masses of three liquids A, B and C have temperature 10^(@)C, 25^...

    Text Solution

    |

  12. A section of fixed smooth circular track of radius R in vertical plane...

    Text Solution

    |

  13. A uniform rod of mass M is hinged at its upper end. A particle of mass...

    Text Solution

    |

  14. A ball is dropped on to a fixed horizontal surface from a height h, th...

    Text Solution

    |

  15. The axis of the uniform cylinder in figure is fixed. The cylinder is i...

    Text Solution

    |

  16. The axis of the uniform cylinder in figure is fixed. The cylinder is i...

    Text Solution

    |

  17. The axis of the uniform cylinder in figure is fixed. The cylinder is i...

    Text Solution

    |

  18. A calorimeter of water equivalent 50 g contains 100 g water at 30^(@)C...

    Text Solution

    |

  19. A steel rod of cross-sectional area Im^(2) is acted upon by forces as...

    Text Solution

    |

  20. A hollow cylinder, a spherical shell, a solid cylinder and a solid sph...

    Text Solution

    |