User:CXTests/T225118

So one can write

$$\frac{\sum_i \gamma_i c_{V,i}}{\tilde{C}_V} = \frac{\alpha K_T}{C_V \rho} = \frac{\alpha V K_T}{\tilde{C}_V}$$

This way, it suffices to prove

$$\sum_i \gamma_i c_{V,i} = \alpha V K_T$$

Left-hand side (def):