Home
Class 12
PHYSICS
Three containers C(1), C(2) and C(3) hav...

Three containers `C_(1), C_(2) and C_(3)` have water at different temperatures. The table below shows the final temperature T when different amounts of water (given in litres) are taken from each containers and mixed (assume no loss of heat during the process)

The value of `theta` (in `""^(@)C` to the nearest integer) is.......

Text Solution

Verified by Experts

The correct Answer is:
65
According to table and applying law of calorimetry
`3T_(1) + 1 T_(2) = (3 + 1) 55^@` ..............(1)
`2T_1 +2T_3 = (2+2) 60^@.............(2)`
`T_1 + 2 T_3 = (1+3) 75^@` ........(3)
Solving `T_1 = 60^@ , T_2 =40^@ , T_3 = 80^@`
Hence ,
`T_1 + T_2 +2 T_3 = (1+1+2) theta, theta = 65^@ C`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MOCK TEST 6

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos

  • MOCK TEST 5

    VMC MODULES ENGLISH|Exercise PHYSICS ( SECTION-2)|5 Videos

  • MOCK TEST 7

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos

Similar Questions

Explore conceptually related problems

Three containers C_(1), C_(2) and C_(3) have water at different temperatures. The table below shows the final temperature T when different amounts water (given in liters) are taken from each container and mixed (assume no loss of heat during the process) The value of theta (in .^(@)C to the nearest integer) is ------------

Three containers C_1, C_2 and C_3 have water at different temperatures. The table below shows the final temperature T when different amounts of water (given in litres) are taken from each containers and mixed (assume no loss of heat during the process) The value of (in °C to the nearest integer) is …….

Knowledge Check

  • One gram of water at 100^(@)C is converted to steam at the same temperature. The amount of heat required is nearest to the value of

    A
    zero
    B
    336 J
    C
    540 J
    D
    2257 J

  • The isothermal diagram of a gas at three different temperatures T_(1),T_(2) and T_(3) , is show in the given figure .Then

    A
    a.`T_(1)ltT_(2)ltT`
    B
    b. `T_(1)ltT_(2)gtT_(3)`
    C
    c.`T_(1)gtT_(2)gtT_(3)`
    D
    d.`T_(1)gtT_(2)ltT_(3)`

    • Similar Questions

    Explore conceptually related problems

    Figure shown two adiabatic vessels, each containing a mass m of water at different temperature. The ends of a metal rod of length L, area of cross section A and thermal conductivity K, are inserted in the water as shown in the figure. Find the time taken for the difference between the temperature in the vessels to become half of the original value. The specific heat capacity of water is s. Neglect the heat capacity of the rod and the container and any loss of heat to the atmosphere.

    The temperature inside a refrigerator is t2 ​ C and the room temperature is t1 ​ C. The amount of heat delivered to the room for each joule of electrical energy consumed ideally will be

    200 g of hot water at 80^(@)C is added to 300 g of cold water at 10^(@)C . Calculate the final temperature of the mixture of water. Consider the heat taken by the container to be negligible. [specific heat capacity of water is 4200 Jkg^(-1)""^(@)C^(-1) ]

    The initial and final temperatures of water in a container are observed as 16 +-0.6^(@)C and 56+-0.3^(@)C . What is the rise in the temperature of water.

    2 litres water at 27^(@)C is heated by a 1kW heater in an open container. On an average heat is lost to surroundings at the rate 160 J//s . The time required for the temperature to reach 77^(@)C is

    Two tanks A and B contain water at 30^@C and 80^@C respectively calculate the amount of water that must be taken from each tank respectively to prepare 40 kg of water at 50^@C

    Home
    Profile