S(B, T) ↑ (3) B₁
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- 2.0 mol of a monatomic ideal gas are at a temperature of 300 K and a pressure of 1.0 atm. What is the entropy change in a process that brings the gas to 350 K and 1.3 atm? Express your answer with the appropriate units.A 2.00-L container has a center partition that divides it into two equal parts as shown below. The left side contains n = 0.029 0 mol of H2 gas, and the right side contains n = 0.029 0 mol of 02 gas. Both gases are at room temperature and at atmospheric pressure. The partition is removed, and the gases are allowed to mix. What is the entropy increase of the system? J/KConsider a system of N free particles in which the energy of each particle can assume two and only two distinct values, 0 and E (E>0). Denote by n0 and n1 the occupation numbers of the energy level 0 and E, respectively. The total energy of the system is U. a) Find the entropy of such a system b) Find the most probable values of n0 and n1, and find the mean square fluctuations of these quantities.
- By considering the number of accessible states for an ideal two-dimensional gas made up of N adsorbed molecules on a surface of area A, obtain an expression for the entropy of a system of this kind. Use the entropy expression to obtain the equation of state in terms of N, A, and the force per unit length F. What is the specific heat of the two-dimensional gas at constant area?A large factory furnace maintained at 170 ∘C at its outer surface is wrapped in an insulating blanket of thermal conductivity 5.50×10−2 W/(m⋅K) which is thick enough that the outer surface of the insulation is at 43.0 ∘C while heat escapes from the furnace at a steady rate of 140 W for each square meter of surface area. By how much does each square meter of the furnace change the entropy of the factory every second?Polymers, like rubber, are made of very long molecules, usually tangled up in a configuration that has lots of entropy. As a very crude model of a rubber band, consider a chain of N links, each of length L Imagine that each link has only two possible states, pointing either left or right. The total length L of the rubber band is the net displacement from the beginning of the first link to the end of the last link. Using the thermodynamic identity, you can now express the tension force F in terms of a partial derivative of the entropy. From this expression, compute the tension in terms of L, T , N, and l.
- A person is at rest in an insulated room with an ambient temperature of 19.1°C. The person has a total surface area of 1.84 m² and a skin temperature of 30°C. The person in this state gets rid of excess heat by radiation. By how much is the person changing the entropy of the air in the room each second? Assume the emissivity of the skin is 1.00, and remember that the room radiates back to the person as well. Select the correct answer Your 0.312 J/K Answer O 0.144J/K O 0.460 J/K O 0.411 J/K O 0.349 J/KQ3 1 kg of liquid water at 77°C mixed with 1 kg of liquid water at 17°C until thoroughly mixed. Find: a) the final temperature of the mixture b) the entropy change of the hot water c) the entropy change of the cold water d) the total entropy change Given: the specific heat of liquid water is 4.2 kJ kg-¹ K-¹Consider a system containing N distinct, stationary and non-interacting particles. Each atom has only two energy levels 0 and ξ>0. If the average energy per atom E/N for N is close to 0 determine (a). Sum of microstates (b) entropy per atom