Home
Class 12
PHYSICS
If three different liquids of different ...

If three different liquids of different masses specific heats and temperature are mixed with each other and then what is the temperature mixture at thermal equilibrium.
`m_(1),s_(1),T_(1) rarr` specification for liquid
`m_(2),s_(2),T_(2)rarr`specification for liquid.
`m_(3),s_(3),T_(3)rarr` specification for liquid.

Text Solution

Verified by Experts

Total heat lost or gain by all substance is equal to zero
`Delta Q=0`
`m_1 s_1 (T-T_1)+m_2 s_2 (T-T_2)+m_3 s_3(T-T_3)=0`
so `T=(m_1 s_1 T_1+m_2 s_2 T_2+m_3 s_3 T_3)/(m_1 s_1+m_2 s_2+m_3 s_3)`
Promotional Banner

Topper's Solved these Questions

  • HEAT - 1

    MOTION|Exercise EXERCISE - 1 Objective Problems | JEE Main|39 Videos

  • HEAT - 1

    MOTION|Exercise EXERCISE -2 (Level - I) Objective Problems | JEE Main|24 Videos

  • GRAVITATION

    MOTION|Exercise Exercise - 4 Section - B Previous Years Problems|15 Videos

  • HEAT TRANSFER & THERMAL EXPANSION

    MOTION|Exercise Exercise - 3 Section-B|19 Videos

Similar Questions

Explore conceptually related problems

Two liquids of specific heat ratio 1:2 are at temperature 2theta and theta

n' number of liquids of masses m,2m,3m,4m, ….. Having specific heats S,2S,3S,4S, …. Are at temperatures t,2t,3t,4t …. Are mixed. The resultant temperature of mixture is

Two liquids of masses m and 5 m at temperatures 3 theta, 4 theta are mixed, If their specific heats are 2S,3S respectively, the resultant temperature of mixture is

Three liquids of mass m,2m and m have specific heats 2S,S and 3S .Their temperatures are 10^(@)C , 20^(@)C and 40^(@)C .The liquids are mixed then steady state temperature is

Two liquids are at 40^@ C and 30^@ C . When they are mixed in equal masses, the temperature of the mixture is 36^@ C . Ratio of their specific heats is

A mass m of water at temperature T_(1) is mixed with an equal mass of water at temperature T_(2) .Then the change in entropy in this process,if C is specific heat capacity of water will

Equal masses of two liquid- one at 20^(@)C and other at 40^(@)C are mixed together.The temperature of the mixture is 32^(@)C . The ratio of their specific heats is

Two liquids A and B are at 36C and 24C .When mixed in equal masses, the temperature of the mixture is found to be 28C .Their specific heats are in ratio of

Two liquids are at temperatures 20^@C and 40^@C . When same mass of both of them is mixed, the temperature of the mixture is 32^@C . What is the ratio of their specific heats?

MOTION-HEAT - 1-EXERCISE -4 (Level - II) Previous Year | JEE Advanced
  1. If three different liquids of different masses specific heats and temp...

    Text Solution

    |

  2. Three graphs marked as 1,2,3 representing the variation of maximum emi...

    Text Solution

    |

  3. In which of the following process, convection does not take place pri...

    Text Solution

    |

  4. 2 litres water at 27^(@)C is heated by a 1kW heater in an open contain...

    Text Solution

    |

  5. A spherical body of area A, and emissivity e = 0.6 is kept inside a bl...

    Text Solution

    |

  6. 1 calorie is the heat required to increased the temperature of 1 gm of...

    Text Solution

    |

  7. In a dark room with ambient temperature T(0), a black body is kept at ...

    Text Solution

    |

  8. In a insulated vessel, 0.05 kg steam at 373 K and 0.45 kg of ice at 25...

    Text Solution

    |

  9. Column I gives some devices and Column II gives some processes on whic...

    Text Solution

    |

  10. A metal rod AB of length 10x has its one end A in ice at 0^@C, and the...

    Text Solution

    |

  11. A piece of ice (heat capacity =2100 J kg^(-1) .^(@)C^(-1) and latent h...

    Text Solution

    |

  12. A composite block is made of slabs A,B,C,D and E of different thermal ...

    Text Solution

    |

  13. Three very large plates of same area are kept parallel and close to ea...

    Text Solution

    |

  14. Two rectangular blocks, having identical dimensions, an be arranged ei...

    Text Solution

    |

  15. The figure below shows the variation of specific heat capacity (C) of ...

    Text Solution

    |

  16. Parallel rays of light of intensity I=912 WM^-2 are incident on a sphe...

    Text Solution

    |

  17. Two spherical stars A and B emit blackbody radiation. The radius of A ...

    Text Solution

    |

  18. A water cooler of storages capacity 120 liters can cool water at a con...

    Text Solution

    |

  19. A metal is heated in a furnace where a sensor is kept above the metal ...

    Text Solution

    |

  20. A human body has a surface area of approximately 1 m^2. The normal bod...

    Text Solution

    |

  21. Two conducting cylinders of equal length but different radii are conne...

    Text Solution

    |