entropy is an extensive property
I am interested in answer based on classical thermodynamics. where is the density matrix and Tr is the trace operator. Is it correct to use "the" before "materials used in making buildings are"? Entropy Recent work has cast some doubt on the heat death hypothesis and the applicability of any simple thermodynamic model to the universe in general. Later, scientists such as Ludwig Boltzmann, Josiah Willard Gibbs, and James Clerk Maxwell gave entropy a statistical basis. The qualifier "for a given set of macroscopic variables" above has deep implications: if two observers use different sets of macroscopic variables, they see different entropies. When it is divided with the mass then a new term is defined known as specific entropy. where I want an answer based on classical thermodynamics. $S_p=\int_0^{T_1}\frac{dq_rev(0->1)}{T}+\int_{T_1}^{T_2}\frac{dq_{melt} (1->2)}{T}+\int_{T_2}^{T_3}\frac{dq_{rev}(2->3)}{T}+ $ from 3 using algebra. {\textstyle \sum {\dot {Q}}_{j}/T_{j},} q telling that the magnitude of the entropy earned by the cold reservoir is greater than the entropy lost by the hot reservoir. Thus, if we have two systems with numbers of microstates. Thus it was found to be a function of state, specifically a thermodynamic state of the system. / It is shown that systems in which entropy is an extensive quantity are systems in which a entropy obeys a generalized principle of linear superposition. Q [42] Chemical reactions cause changes in entropy and system entropy, in conjunction with enthalpy, plays an important role in determining in which direction a chemical reaction spontaneously proceeds. Properties 1 T It is possible (in a thermal context) to regard lower entropy as a measure of the effectiveness or usefulness of a particular quantity of energy. Are they intensive too and why? {\displaystyle P_{0}} come directly to the point as asked entropy(absolute) is an extensive property because it depend on mass. secondly specific entropy is an intensive Is there way to show using classical thermodynamics that dU is extensive property? It is very good if the proof comes from a book or publication. Use MathJax to format equations.