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Three containers C1, C2 and C3 have wa...

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 …….

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 + 2T_3 = (1+3) 67.5^@ " ".....(3)`
Solving `T_1 = 30^@ , T_2 =60^@ , T_3= 80^@`
Hence, `2T_2 + T_2 + T_3 =(2+1+1)theta ," " 200 = 4theta , theta =50^@ C`
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