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.......

Three containers C_(1), C_(2) and C_(3) have water at different temper

1.	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.......
Answer» SOLUTION :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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