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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`
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