Here’s a comprehensive table summarizing the key information about molar heat capacity:
Aspect
Details
Definition
The amount of heat required to raise the temperature of 1 mole of a substance by 1 Kelvin (or 1°C)
SI Unit
J⋅K⁻¹⋅mol⁻¹ (Joule per Kelvin per mole)
Formula
cm = C/n = (1/n) * lim(ΔT→0) (Q/ΔT)
Types
1. At constant pressure (cp,m or CP,m) 2. At constant volume (cv,m or CV,m)
Relationship
CP,m > CV,m (for gases)
Factors Affecting
1. Temperature 2. Pressure 3. Molecular structure 4. Phase of the substance
For Ideal Gases
CV,m = (f/2)R, where f is degrees of freedom and R is gas constant
Dulong-Petit Law
For many solid elements at room temperature: CV,m ≈ 3R ≈ 24.9 J/(K·mol)
Conversion
Molar heat capacity = Specific heat capacity × Molar mass
This table provides a concise overview of molar heat capacity, including its definition, units, formulas, types, and key relationships. It’s important to note that molar heat capacity values can vary depending on the substance and conditions.