Increasing the temperature increases the solubility of a solid. The rate of dissolution also increases because the diffusion is faster at higher temperature.
For a gas in a liquid, the Henry's law predict a proportionality between the pressure and the solubility: C = k.P
The Henry law constant k depends on the properties of the gas and the liquid.
Increasing temperature results in increased kinetic energy. Gas molecules with greater kinetic energy move more rapidly resulting in the intermolecular bonds between the gas solute and solvent breaking. The solubility of gas is affected by changes in pressure on the system. A gas dissolves in liquids to form solutions. Heating up a solvent gives the molecules more kinetic energy. The increased rapid motion means that the solvent molecules collide with the solute with greater frequency, and that the collisions occur with more force. Both factors increase the rate at which the solute dissolves. If we heat the solvent, the average kinetic energies of its molecules increase. Hence, the solvent is able to dislodge more particles from the surface of the solute. Thus, increasing the temperature increases the solubility of substances. As the temperature of the solution increase, the average kinetic energy of the solute molecules also increases. This causes the molecules to be less able to hold together and hence they dissolve more readily. Hence increase in temperature increases the solubility of solid states. The solute's solubility falls because the kinetic energy of the gaseous solute increases as the temperature rises. As a result, its molecules are more likely to escape the solvent molecule's attraction and return to the gas phase. The solubility of any given solute depends on the temperature of the solution. Solubility of solutes like salt increases with an increase in temperature whereas the solubility of substances like calcium sulphate decreases as temperature increases. For many solids dissolved in liquid water, the solubility increases with temperature. The increase in kinetic energy that comes with higher temperatures allows the solvent molecules to more effectively break apart the solute molecules that are held together by intermolecular attractions.
The solubility of gases and solids are different cases. I agree with most of your molecular interpretation of the process.
For the solubility of solids, the process may be endothermic (general case, separation of ions or molecules of the solid) and the solubility increases with T. But for solids with exothermic dissolution (the solvation energy of the molecules overcomes the energy of separation of the constituents of the solid) , the effect is inverse and the solubility may decreases with T. In fact we should use Gibbs energy to predict the solubility (solid/solution equilibrium).
Heating up a solvent gives the molecules more kinetic energy. The increased rapid motion means that the solvent molecules collide with the solute with greater frequency, and that the collisions occur with more force. Both factors increase the rate at which the solute dissolves. A solute dissolves faster in a warmer solvent than it does in a cooler solvent because particles have more energy of movement. The temperature of the solvent is another factor that affects how fast a solute dissolves. For a given amount of solute, smaller particles have greater surface area. If we heat the solvent, the average kinetic energies of its molecules increase. Hence, the solvent is able to dislodge more particles from the surface of the solute. Thus, increasing the temperature increases the solubility of substances. As the temperature of the solution increase, the average kinetic energy of the solute molecules also increases. This causes the molecules to be less able to hold together and hence they dissolve more readily. Hence increase in temperature increases the solubility of solid states. Energy will be transferred from the warmer object to the cooler one. The movement of thermal energy from a substance at a higher temperature to one at a lower temperature is called heat. When a substance is heated, it gains thermal energy. Therefore, its particles move faster and its temperature rises. Substances can change between the states of matter by adding or removing heat, also known as the transfer of thermal energy. Adding thermal energy causes a substance's particles to move faster and farther apart; removing thermal energy causes a substance's particles to move slower and closer together. Water, as well as other matter, can exist in three states, or phases, and we call them solid, liquid, and gas. As ice is heated, its temperature increases, and it melts into liquid water. Likewise, as liquid water is heated, it evaporates into water vapor. The solubility of gases is directly proportional to pressure. That is it increases with increase in pressure. The solubility of gases in liquids decreases with increasing temperature. Conversely, adding heat to the solution provides thermal energy that overcomes the attractive forces between the gas and the solvent molecules, thereby decreasing the solubility of the gas. Rises in temperature improve the solubility of solids in water, but reduce the solubility of gases in water because temperature increases produce an increase in the number of stimulated atoms or molecules of gases. Changes in pressure have essentially no effect on the solubility of solids and liquids. As the temperature of the solution increase, the average kinetic energy of the solute molecules also increases. This causes the molecules to be less able to hold together and hence they dissolve more readily. The solubility of most substances depends strongly on the temperature and, in the case of gases, on the pressure. The solubility of most solid or liquid solutes increases with increasing temperature.
Why will applying heat energy to a solvent make a solute dissolve faster?
When heat is applied to a solvent, the kinetic energy of the solvent molecules increases. This means that the solvent molecules move faster and collide with the solute molecules more often. This makes it more likely that the solute molecules will dissolve.
In addition, heat can also help to break the bonds that hold the solute molecules together. This makes it easier for the solute molecules to separate and dissolve in the solvent.
For example, if you add sugar to a cup of hot water, the sugar will dissolve more quickly than if you added it to a cup of cold water.
Does increasing pressure increase solubility of gases?
Yes, increasing pressure increases the solubility of gases. This is because the increased pressure forces the gas molecules into the solvent.
The solubility of a gas is inversely proportional to its partial pressure. This means that the higher the partial pressure of a gas, the lower its solubility. However, if we increase the pressure of the gas, we are also increasing its partial pressure. This will cause the gas to dissolve more in the solvent.
For example, if you open a can of soda, the carbon dioxide gas will come out of the solution because the pressure inside the can is lower than the atmospheric pressure. However, if you put the lid back on the can, the pressure inside the can will increase and the carbon dioxide gas will dissolve back into the solution.
The solubility of gases is directly proportional to pressure. That is it increases with increase in pressure. Rises in temperature improve the solubility of solids in water, but reduce the solubility of gases in water because temperature increases produce an increase in the number of stimulated atoms or molecules of gases. Changes in pressure have essentially no effect on the solubility of solids and liquids.As the kinetic energy of the gaseous solute increases, its molecules have a greater tendency to escape the attraction of the solvent molecules and return to the gas phase. Therefore, the solubility of a gas decreases as the temperature increases. As such, a gas becomes less soluble as temperate increases. Increasing temperature results in increased kinetic energy. Gas molecules with greater kinetic energy move more rapidly resulting in the intermolecular bonds between the gas solute and solvent breaking. As the temperature of the solution increase, the average kinetic energy of the solute molecules also increases. This causes the molecules to be less able to hold together and hence they dissolve more readily. Heating up a solvent gives the molecules more kinetic energy. The increased rapid motion means that the solvent molecules collide with the solute with greater frequency, and that the collisions occur with more force. Both factors increase the rate at which the solute dissolves. A solute dissolves faster in a warmer solvent than it does in a cooler solvent because particles have more energy of movement. The temperature of the solvent is another factor that affects how fast a solute dissolves. For a given amount of solute, smaller particles have greater surface area.