On what factors heat depends? What is the relation of heat with its factors ?

The amount of heat in a substance depends on the following factors : 

1. Mass of the substance 
2. Average kinetic energy of the molecule

The relation of heat with its factor is , Amount of heat ∝ mass of substance (m) * K.E of the molecule. 

Conduction is the transfer of heat through solids. Factors that affect rate of heat flow include the conductivity of the material, temperature difference across the material, thickness of the material, and area of the material.For a constant surface area, an increase in the radiant emissivity leads to an increase in radiated heat. This results in a lower temperature at the source. ... This is because for a constant volume, as the convective heat transfer coefficient increases, the heat dissipation increases.

The two important factors that affect heat energy are specific heat and temperature. Specific heat is a heat-constant of a material per unit mass per degree of temperature change (in units of energy per mass and temperature), like Joules/Kg-°C The two important factors that affect heat energy are specific heat and temperature. Specific heat is a heat-constant of a material per unit mass per degree of temperature change (in units of energy per mass and temperature), like Joules/Kg-°C.

The opposite of heat loss is heat gain, also referred to as solar gain. Heat gain occurs when when warmth comes into the space via radiant heat as the sun shines through the glass. It's also a sign of a low U value rating. Heat gain also occurs as cool air escapes through seals.