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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

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(65) According to table and applying law of calorimetry
`3T_(1) + 1T_(2) = (3 + 1) 55^(@)` …(1)
`2T_(2) + 2T_(3) = (2 + 2) 60^(@)` ….(2)
`T_(1) + 3T_(3) = (1 + 3)75^(@)` ….(3)
Solving `T_(1) = 60^(@) , T_(2) = 40^(@) , T_(3) = 80^(@)`
Hence ,
`T_(1) + T_(2) + 2T_(3) = (1 + 1 + 2) theta, theta = 65^(@) C`
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