Question

A beaker of 50cm3 is kept in a freezer and made into solid ice.The ice has melted at room temperature and we have made sure that no evaporation takes place. But when we check the volume of the water the result is different( 46cm3). Why is it so?

Answer 1

Well this is a very much an application base question.

One thing you must understand is that water expand when it turns to ice.

This due to the anomalous property of water

The anomalous properties of water are those where the behavior of liquid water is quite different from what is found with other liquids .No other material is commonly found as solid, liquid and gas.d Frozen water (ice) also shows anomalies when compared with other solids. Although it is an apparently simple molecule`(H_2 O)`, it has a highly complex and anomalous character due to its intra-molecular hydrogen bonding (see for example). As a gas, water is one of lightest known, as a liquid it is much denser than expected and as a solid it is much lighter than expected when compared with its liquid form. It can be extremely slippery and extremely sticky at the same time.f Many other anomalies of water may remain to be discovered, such as the possible link of water to room temperature superconductivity .h An interesting history of the study of the anomalies of water has been published

Okay so going into the fomulae

`Δℓ = αℓ_0ΔT`
For many solids, expansion is directly proportional to temperature change.

`ΔA = 2αA_0ΔT`

Areas expand twice as much as lengths do

`ΔV = 3αV_0ΔT`

Volumes expand three times as much as lengths do.