If the avg energy per atom for a gas is 3/2KbT, what is the entropy as...
The Sackur-Tetrode Equation gives the entropy of a sample of n moles of monatomic ideal gas as a function of its internal energy U and volume V S(U, V) = 5/2 n R + n R In (V/n N_A(4piM U/3nN^2_Ah^2)^3/2) In the equation, R is the gas constant, M is the molar mass, N_4 is Avogadro's number, and h is Plank's constant. The equation can be derived using S = k ln W and directly computing W, the number of...
Using Boltzmann’s equation, calculate the entropy of a system consisting of one mole of gas in which each molecule of gas has 10 possible microstates. How does this value compare with the standard molar entropy of helium gas (see lecture slides for examples of standard values!). (Boltzmann’s constant k = 1.38 x 10-23 J/K)
A gaseous system undergoes a change in temperature and volume. What is the entropy change for a particle in this system if the final number of microstates is 0.465 times that of the initial number of microstates? (units is J/K.particle) Quantitative relationship between entropy and number of microstates the Boltzmann equation where k is the Boltzmann constant per molecule (particle), 1.38 × 10 23 J/(K-particle). From this equation the entropy change, ΔS, for a system can be related to the...
The average kinetic energy of an argon atom in a spherical container filled with argon gas and with a volume of 1.42 x 10-2 m3 is 4.40 x 10-21 ). If the pressure inside the container is 2.40 atm, how many moles of argon are in the container? moles
12. What is the average kinetic energy per molecule of a diaatomic gas at 10°c? 13. What is the rms speed of the molecules of helium gas at 25°C. Helium is a monoatomic gas Mass of He atom 6.65 x 1027Kg
The average kinetic energy of an argon atom in a spherical container filled with argon gas and with a volume of 1.38 × 10-2 m3 is 4.52 × 10-21 J. If the pressure inside the container is 2.35 atm, how many moles of argon are in the container? moles Submit Answer Save Progress Practice Another Version
3. Entropy of physical systems (a) Consider two interacting systems A and B. Calculate the number of microstates and the entropy S of the combined system if i. (1 point) ΩΑ-2 and Ω13 3; ii. (1 point) A0204 and 2B 103x104 (b) A 20 Ω resistor is held at constant temperature of 300 K. A 10 A current is passed through the resistor for a minute i. (1 point) What is the change in entropy of the resistor? ii. (1...
The average kinetic energy of an atom in a monatomic ideal gas is given by KE=(3/2)kT,where k = 1.38
Calcium carbonate can decompose into calcium oxide and carbon dioxide gas with the (c) reaction: CaCO3 СаО + СО2 The change in enthalpy for this reaction is AH = +178 kJ/mol and the change in entropy is AS = +0.16 kJ/(K. mol) (i) Describe the concept of the Gibbs energy and how it is related to the enthalpy and entropy (ii Hence calculate the minimum temperature for the decomposition of calcium carbonate to proceed spontaneously An Einstein solid consists of...
What is difference between enthalpy, entropy, and Gibbs free energy? 1.What is difference between enthalpy, entropy, and Gibbs free energy? 2.For each of the above, what does it mean if the sign is negative? Positive? 3.Provide any equation (from Ch1-2) what includes enthalpy, entropy, or Gibbs free energy