There are two layers of water in a calorimeter, the lower one colder at temperature `30^(@)C` and the upper one hotter at temperature `60^(@)C`. The mass of lower water is m and volume is `V`. The mass of upper water is `2`m and volume is `2V`. The coefficient of volume expansion for water is `gamma`. When the temperature of the whole system becomes equal , the ratio of new volume to the old volume is .

There are two layers of water in a calorimeter, the lower one colder a

1.	There are two layers of water in a calorimeter, the lower one colder at temperature `30^(@)C` and the upper one hotter at temperature `60^(@)C`. The mass of lower water is m and volume is `V`. The mass of upper water is `2`m and volume is `2V`. The coefficient of volume expansion for water is `gamma`. When the temperature of the whole system becomes equal , the ratio of new volume to the old volume is .
Answer» Correct Answer - `1` mc`(T-30) + 2mc(T-60) = 0` `T= 50^(@)C` `DeltaV = V_(gamma)(T-30) + 2V_(gamma) (T-60) = 0` `DeltaV= 0` `V_(f) = V_(i)`

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