Why sensible heat and latent transfer in a liquid follow a sequence? First sensible heat and then latent heat. Why both do not take place together?
Let us take water as an example. Let us assume we are heating water at 30 degc at ambient pressure and increasing kinetic energy. Heat increases the translational and oscillation motion of atoms. Since all three atoms are bonded to each other this also simultaneously increases the kinetic energy of water molecules. The process goes on until all atoms of water have received the kinetic energy according to the degree of freedom of each. This process is controlled by the specific heat of the water. The temperature increase is sensible heat. At 100 degc water reaches the saturation point after atoms have received their quota of heat needed for their vibration. Beyond saturation point, till the water becomes saturated vapor water receives latent heat isothermally which goes to break the intermolecular bonds.
Therefore, there are two independent processes occurring in sequence [1] first, the supply of heat is increasing the kinetic energy of atoms which is sensible heat supplied as per specific heat till the water reaches saturated temperature. The kinetic energy of molecules is also increasing but not sufficient to break intermolecular bonds and [2] second, the supply of latent heat to saturated water at a constant temperature until the water becomes saturated vapor and intermolecular bonds are broken.