Now, by substituting this value of S in equation (3), we get,ġ T = ∂ S ∂ U = ∂ ∂ U 8 π 2 G U 2 h c 5 k 1 T = 16 π 2 G U h c 5 k T = h c 5 16 π 2 G U kīy resusbstituting the value of U in the above equation, we get the desired result in terms of mass,įor a solar mass black hole, M = 2 × 10 30 kg.Īlso, by substituting 6. ![]() Shoe Dog: A Memoir by the Creator of Nike. The Yellow House: A Memoir (2019 National Book Award Winner) Sarah M. The Subtle Art of Not Giving a Fck: A Counterintuitive Approach to Living a Good Life. ![]() Role="math" localid="1646997428892" S = 8 π 2 G U 2 h c 5 k. Thermal Physics Schroeder Solutions Pt 1 of 5. Interactions and Implications3.1 Temperature3.2 Entropy and Heat3.3 Paramagnetism3.4 Mechanical Equilibrium and Pressure3.5 Diffusive Equilibrium and Chemical Potential3. Role="math" localid="1646995322714" S = 8 π 2 G M 2 h c k × c 4 c 4 S = 8 π 2 G ( M c 2 ) 2 h c 5 k You have seen negative capacities before when you solved Schroeder Problem 1.55 on page 36-37 about the heat capacities of stars, so perhaps it is not too. The Second Law2.1 Two-State Systems2.2 The Einstein Model of a Solid2.3 Interacting Systems2.4 Large Systems2.5 The Ideal Gas2.6 Entropy. Reviews arent verified, but Google checks for and removes fake content when its identified. ![]() Pearson Education, 2007 - Statistical mechanics - 432 pages. ∂ S is the change in entropy and ∂ U is the change in the internal energy of the body. An Introduction to Thermal Physics Daniel V. Mathematically, temperature can be defined as:
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