Final answer:
It is true that the function q=mcΔT is used to solve for variables associated with temperature change in the context of specific heat capacity. This equation relates the heat transfer, mass of the substance, and temperature change, defining the specific heat capacity.
Step-by-step explanation:
The function to solve for the variables associated with temperature change using the equation for specific heat capacity is q=mcΔT is true. This equation is foundational in thermodynamics and relates the amount of heat (Δq) transferred to or from a substance to the resulting change in temperature (ΔT). Here, m represents the mass of the substance and c is the specific heat capacity, which is a characteristic of the material and its phase. The specific heat capacity is the amount of heat required to raise the temperature of a unit mass of a substance by one degree Celsius (or one Kelvin, as both scales have the same increment size).
This relationship is also a way to define the specific heat capacity. For gases, additional considerations about volume and pressure may be needed; however, for solids and liquids, that approximation can generally be ignored. The given formula can be accurately used to calculate how much energy will cause a certain temperature change in a substance, assuming constant volume and pressure.
When dealing with heat transfer in substances, specific heat, mass, and temperature change are essential components to understand the heat transfer processes.