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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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