A cylindrical container has a cross sectional area of `A_(0) = 1 cm^(2)` at `0^(@)C`. A scale has been marked on vertical surface of the container which shows correct reading at `0^(@)C`. A liquid is poured in the container. When the liquid and container is heated to `100^(@)C`, the scale shows the height of the liquid as 83.33 cm. The coefficient of volume expansion for the liquid is `gamma = 0.001^(@)C^(-1)` and the coefficient of linear expansion of the material of cylindrical container is `alpha = 0.0005^(@)C^(-1)`. A beaker has `300 cm^(3)` of same liquid at `0^(@)C`. The two liquids are mixed. Find the final temperature of the mixture assuming that heat exchange takes place between the liquids only, and its specific heat capacity is independent of temperature
