Heat and Thermodynamics

The dimensions of various thermal properties are given and described as follows:Thermal Conductivity (K):Formula: $K = \; \frac{Q \cdot d}{A \cdot \Delta T}$Dimensional Analysis:$\left[ \; \frac{(M L^{2} T^{-3}) (L)}{(L^{2}) (K)} \right] = \left[ M L T^{-3} K^{-1} \right]$Boltzmann Constant (k):Defined as the ratio of energy to temperature:Dimensional Analysis:$\; \frac{ [M L^{2} T^{-2}] }{ [K] } = [M L^{2} T^{-2} K^{-1}]$Latent Heat (L):Defined as the ratio of energy to mass:Dimensional Analysis:$\; \frac{ [M L^{2} T^{-2}] }{ [M] } = [L^{2} T^{-2}]$Specific Heat (C):Defined as the ratio of energy to the product of mass and temperature:Dimensional Analysis:$\; \frac{ [M L^{2} T^{-2}] }{ [M][K] } = [M^{0} L^{2} T^{-2} K^{-1}]$These analyses help in determining the correct dimension pairings for each property.