The specific heat of air increases with an increase in temperature.

When air is heated, its molecules gain energy and move faster, resulting in an increase in temperature. This increase in temperature leads to an increase in the average kinetic energy of the air molecules. As a result, the air molecules collide more frequently and with greater force, resulting in an increase in the internal energy of the air.

Understanding specific heat:

Specific heat is the amount of heat energy required to raise the temperature of a substance by a certain amount. It is a measure of the substance's ability to store and release heat energy. The specific heat of a substance depends on its molecular structure and the nature of the interactions between its molecules.

Effect of temperature on specific heat:

As the temperature of air increases, the average kinetic energy of the air molecules increases, leading to an increase in the specific heat of air. This is because at higher temperatures, the air molecules have more energy available to store as heat. Therefore, it takes more heat energy to raise the temperature of a given amount of air by a certain amount.

Relationship between specific heat and temperature:

The relationship between specific heat and temperature can be described by the equation Q = mcΔT, where Q is the heat energy transferred, m is the mass of the substance, c is the specific heat, and ΔT is the change in temperature.

From this equation, it can be seen that as the temperature increases, the specific heat of air increases. This means that more heat energy is required to raise the temperature of air by a certain amount at higher temperatures compared to lower temperatures.

Conclusion:

In conclusion, the specific heat of air increases with an increase in temperature. This is because the increase in temperature leads to an increase in the average kinetic energy of the air molecules, resulting in an increase in the specific heat of air.