For any substance, why does the temperature remain constant during the change of state.?

The temperature remains constant during the change of state because the energy is required for the substance to undergo a change from one form to another form, i.e Heat absorbed is utilised in breaking of bonds and several other restructural processes to occur. This heat is known as latent heat.
There are various types of latent heats :
1) Latent Heat of fusion:  Heat absorbed when a solid is converted to liquid.
It is the heat required to change 1 kg of a solid substance into liquid state at the melting point of the substance. For example, amount of heat required to melt ice at 0 ° C into water at 0 °C, will be known as the Latent Heat of Fusion of ice.

2)Latent Heat of  Vaporisation :​Heat absorbed when a liquid is converted to vapour.
It is the heat required to change 1 kg of a liquid substance into gaseous state at atmospheric pressure, at the boiling point of the substance. For example, amount of heat required to vaporize water at 100 ° C into the vapor state at 100 ° C, atmospheric pressure, will be known as the Latent Heat of Vaporization of water.

3)Latent  Heat of Sublimation : Heat absorbed when a solid is converted to vapour directly.
It is the heat required to change a unit mass of solid substance into gaseous state at atmospheric pressure, without any change in temperature of the substance. For example, the heat required to sublimate solid camphor into its vapors at atmospheric pressure and constant temperature, will be known as the Latent heat of Sublimation of Camphor

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When something changes phase it takes or releases energy to break the intermolecular interactions. The heat is utilized in overcoming the particle-particle attraction forces and hence the temperature remains practically constant.
 
Hope this helps
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Change of state :
When a substance changes from one state, or phase, of matter to another we say that it has undergone a change of state, or we say that it has undergone a change of phase.

These changes of phase always occur with a change of heat. Heat, which is energy, either comes into the material during a change of phase or heat comes out of the material during this change. However, although the heat content of the material changes, the temperature does not.

Remember that heat is energy, and remember that there are two types of energy - kinetic and potential. The heat exchanges, or energy exchanges, present during a change in phase are changes in potential energy. These energy exchanges are not changes in kinetic energy.

If heat is coming into a substance during a phase change, then this energy is used to break the bonds between the molecules of the substance. The example we will use here is ice melting into water. After the molecular bonds in the ice are broken the molecules are at a higher potential energy state, however they are not on the average moving any faster, so their average kinetic energy remains the same, and thus, their Kelvin temperature remains the same.
Therefore,:.
When a substance changes phase (state ) there is no change in temperature.
So the average kinetic energy of the molecules remain the same.
And thus, the average speed of the molecules remain the same.
The heat causing change in phase is used in changing the molecule's potential energy.
It is used to break the bonds between the molecules ,but not speed them up.

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thankx..

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 During a change of state, the temperature remains constant. This is because all the heat supplied to increase the temperature is utilised in changing the state by overcoming the forces of attraction between the particles. Therefore, this heat does not contribute in increasing the temperature of the substance.

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The temperature remain constant during the change of state because the heat supplied is used up in changing the state of matter as it has to work against the force of attraction of molecules.
 
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The temperature remain constant during the change of state because the heat supplied is used up in changing the state of matter as it has to work against the force of attraction of molecules.
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because of latent heat
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if you take water and heat it  it will change into gas at 100 degree C  when all molecules turn into gas  then the temperature will change
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