What is the equation for the molar heat capacity?

The molar heat capacity refers to the amount of heat required to raise the temperature of one mole of a substance by one degree Celsius (or one Kelvin). The correct equation that represents this concept is given by the formula q = Cm x n x ∆T, where:

• q is the heat absorbed or released,

• Cm is the molar heat capacity (often given in units of J/(mol·K)),

• n is the number of moles of the substance, and

• ∆T is the change in temperature in degrees Celsius or Kelvin.

In this equation, the molar heat capacity, Cm, is multiplied by the number of moles (n) and the temperature change (∆T) to calculate the total heat transferred (q). This relationship is fundamentally how calorimetry is applied to measure heat transfer in chemical reactions or physical changes.

The other options do not accurately represent the concept of molar heat capacity. For instance, the first option involves a specific heat capacity (Cs) which applies to a mass (m) rather than moles. The third option uses H, which might refer to enthalpy change, and does not incorporate the mole concept directly. Lastly, the fourth choice introduces U (internal energy