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

`1`

Explanation

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)`