Question

How does specific heat change with temperature?

Answer 1

The heat Q moved to cause a temperature change relies upon the magnitude of the temperature change, the mass of the system, and the substance and phase included. The measure of heat moved is straightforwardly proportional to the temperature change.

Complete step by step answer:
Specific heat is a proportion of the capacity of the substance to absorb heat. The heat goes first into expanding the kinetic energies of the molecules. Molecules can likewise store energy in vibrations and rotations. These energies are quantized
For instance, the O-H bonds in water can stretch and twist, and the entire particle can pivot about its x-, y-, and z-axes.
At low temperatures, collisions don't give enough energy to escape the ground states for rotation or vibration. The average energy increments just from translation.
As the substance heats up, the average kinetic energy of the molecules increments. The collisions confer enough energy to permit rotation to happen.
Rotation at that point adds to the interior energy and raises the specific heat. The vibrational energy states are further separated than the rotation energy states.
Vibration doesn't jump out of the ground state until high temperatures $\left( { \approx {\text{ }}1000{\text{ }}K} \right)$ . It then contributes to the specific heat.

Note:
1)In contrast to the complete heat capacity, the specific heat capacity is independent of mass or volume. It describes how much heat should be added to a unit of mass of a given substance to raise its temperature by one degree Celsius. The units of specific heat capacity are $J/\left( {kg{\text{ }}^\circ C} \right)$ or proportionately $J/\left( {kg{\text{ }}K} \right)$ .
2)The heat capacity and the specific heat are connected by $C = cm{\text{ }}or{\text{ }}c = C/m$ .
3)The mass m, specific heat c, change in temperature $\delta T$, and heat added (or deducted) Q are connected by the condition $Q = mc\Delta T$ .
4)Estimations of specific heat are dependent on the properties and phase of a given substance. Since they can't be determined easily, they are experimentally estimated and accessible for reference in tables