1. A block of copper at a temperature of 50 °C is placed in contact with a block of aluminum at a temperature of 45 °C in an insulated container. As a result of a transfer of 2500 J of energy from the copper to the aluminum, the final equilibrium temperature of the two blocks is 48 °C a. What is the approximate change in entropy of the aluminum block? b. What is the approximate change in entropy of the copper block? c. What is the approximate change in entropy of the Universe? d. What is the change in energy of the Universe? Let's see how close our two-level system comes to satisfying the old rule of temperature as the average energy per atom. You will use the Entropy Calculator Excel sheet from class (https://goo.gl/Q4uZ1w) to do this in the following three problems. In each case, use N = 1000 atoms in each of the two interacting systems.

1. A block of copper at a temperature of 50 °C is placed in contact with a block of aluminum at a temperature of 45 °C in an insulated container. As a result of a transfer of 2500 J of energy from the copper to the aluminum, the final equilibrium temperature of the two blocks is 48 °C a. What is the approximate change in entropy of the aluminum block? b. What is the approximate change in entropy of the copper block? c. What is the approximate change in entropy of the Universe? d. What is the change in energy of the Universe? Let's see how close our two-level system comes to satisfying the old rule of temperature as the average energy per atom. You will use the Entropy Calculator Excel sheet from class (https://goo.gl/Q4uZ1w) to do this in the following three problems. In each case, use N = 1000 atoms in each of the two interacting systems.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Calculate the ratioof the mechanical energy at B and mechanical energy at A (EB/EA) and (EC/EB). What do these ratios tell you about the conservation of energy? Is the mechanical energy conserved between A and B? Explain
Argon (K=1.667) gas is compressed from 1 atm and 30°C to a pressure of 10 atm adiabatically. The lowest temperature of helium after compression is O 488°C 556°C 370°C 264°C 194°C 144°C 106°C 75°C O non of the above
A curious blacksmith forge 1 kg of iron then dropped it to an insulated container that contains 50 liters of water. Before dropping the iron into the insulated container, the blacksmith measures the temperature of iron and water as 500 °C and 20 °C, respectively. This curious blacksmith is always interested in thermodynamics and tries to calculate equilibrium temperature and the total entropy change because of his/her action. What will be the equilibrium temperature and the total entropy change? Is this process reversible or irreversible? (Density and specific heat of water at 20 °C are 995.10 kg/m3 and 4.16 kJ/kg.C, respectively. Assume that the specific heat capacity of iron is 0.5 kJ/kg.C)
Show the full answer. Steam at a temperature of 480°K has a specific entropy of 7.1167 kJ/kg-K. Determine the pressure, internal energy, enthalpy and volume.
An ice tray contains 598 g of water at 0'C. Calculate the change in entropy of the wa- ter as it freezes completely and slowly at 0'C. Answer in units of J/K.
How much entropy in KJ?K is transferred to 20kg of helium at 20°C if the temperature is increased by 28°C. The pressure is remained constant.
σ=6
Ice at -10°C and water vapor at 130°C are brought together at atmospheric pressure in a perfectly insulated container whose heat capacity can be neglected. After thermal equilibrium is reached, the liquid phase at 50°C is present. Ignoring the equilibrium vapor pressure at 50°C, find the ratio of the mass of the steam to that of the ice (L, = 3.35×10°J/kg L, = 2.26x10° J / kg C = 2000J / kg - °C cm = 2020J / kg -°C)
An insulated tank of volume 4 m³ is divided into two equal compartments by a thin and rigid partition. One compartment contains an ideal gas at 708 K and 363 kPa, while the other is completely evacuated. Now, the partition is suddenly removed, and the gases are allowed to mix. The equilibrium is reestablished by equalizing the pressure and the temperature. Estimate the change in entropy of the gas kJ/K.
(i) What is the 3rd law of thermodynamics? Under what circumstances does this not hold? (ii) Define the residual entropy. Show that for a molecule which has m identical energy configurations the residual entropy is given by Sresidual= Nkb ln m (iii) Calculate the residual entropy per mole for a molecule that has 4 identical energy configurations.
According to Newton’s law of cooling, the rate of change of temperature is proportional to the temperature difference between the system and its surroundings:dT/dt= -α(T-Tsur)where Tsur is the temperature of the surroundings and α is a constant. (a) Integrate this equation with the initial condition that T = Ti at t = 0.(b) Given that the entropy varies with temperature according to S(T) − S(Ti) = C ln(T/Ti), where Ti is the initial temperature and C the heat capacity, deduce an expression entropy of the system at time t.
1 x 10 ° mm3 of air at a pressure of 10 bar and temperature 300°C, expands 10 times its original volume and its final temperature will be 25°C. Calculate (1) mass (ii) change in entropy by considering temperature, volume, entropy relationship (iii) change in entropy by considering temperature, pressure, entropy relationship (iii) change in entropy by considering pressure, volume, entropy relationship. Gas Molecular weight (M) (kJ/kg K) (kJ/kg K) Air 28.97 1.005 0.718 Oxygen Nitrogen Hydrogen Carbon monoxide 32 0.920 0.660 28 1.046 0.754 14.40 10.40 28 1.046 0.754