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Three containers C(1) , C(2) and C(3) h...

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:
50
According to table and applying law of calorimetry
`2T_1 +2T_2 = (2+2) 45^@" (1)`
`3T_2 +1T_3 =(3+1)65^@" (2)"`
`T_1 +3T_3 =(1+3)67.5^@" (3)"`
Solving `T_1 =30^@, T_2 = 60^@, T_3 = 80^@`
Hence, `2T_1 +T_2+T_3=(3+1+1)theta," "200 = 4 theta," "theta = 50^@C`
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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

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    B
    b. `T_(1)ltT_(2)gtT_(3)`
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    c.`T_(1)gtT_(2)gtT_(3)`
    D
    d.`T_(1)gtT_(2)ltT_(3)`

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