1. Two monoatomic ideal gases A and B are at the same temperature. If 1 g of gas A has the same internal energy as 0.1 g of gas B. (a) Calculate the ratio of the number of moles of each gas. nA = ng (b) Calculate the ratio of the atomic masses of the two gases. MA MB
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- 1. For nitrogen at 285 K find, a) The most probable speed b) The average speed c) The rms speed The molar mass of nitrogen is 14.0 g/mol and R=8.31 kg/(mol K) Hint: You need to convert quantities into Sl units. m/s m/s m/s2.Three moles of an ideal monatomic gas expand at a constant pressure of 2.50 atm; the volume of the gas changes from 3.20×10−2 m3 to 4.50×10−2 m3. (a) Calculate the initial and final temperatures of the gas. (b) Calculate the amount of work the gas does in expanding. (c) Calculate the amount of heat added to the gas. (d) Calculate the change in internal energy of the gas.10. If the temperature of a monoatomic ideal gas is raised from 90 °F to 138 °F, by how much will the internal energy of 1.40 mol of gas change? 2 A 1 tion 2 W # 3 command E $ 4 R G Search or type URL 67 2° % 5 V.. T G ^ MacBook Pro 6 B Y H & 7 Z N U J * 8 M - + K ( 9 I : ; option { [ ? 1 + 11 = 11 A I
- A tank contains 16 moles of neon gas at an absolute pressure of 1 x 105 Pa. What is the change in the internal energy of the gas when the temperature is raised from 27 ºC to 32 ºC. Given: Boltzmann constant: k = 1.38 x 10–23 J/K, Ideal Gas Constant: R = 8.31 J/(mol K) 1000 J B. 750 J C. 500 J D. 250 J E. 100 J6. The following data show the relation of vapour pressure of liquid Z as a function of temperature. p/mmHg T/°C 17.54 20 31.82 30 55.32 40 92.51 50 149.38 60 233.70 70 Using linear regression technique, compute the molar enthalpy of vaporization of liquid Z!For this question there could be one or MULTIPLE answers, Choose the best Match/Matches. For a monatomic ideal gas in thermal equilibrium near room temperature, a. U = 3/2 NkT. b. U = 5/2 NkT. c. degrees of freedom include translational and rotational motions. d. degrees of freedom include translational, rotational, and vibrational motions. e. U = 5/2 pV. f. U = 3/2 pV. Explain work please.
- 2. For T = 300 K, calculate the pressure (in bars) at which the mean free path of a hydrogen molecule will be each of the lengths given here. For H₂, o = 2.30 x 10-1⁹ m². (a) 100 μm (b) 1.00 mm (c) 1.00 m LL1. Two moles of helium gas are placed in a cylindrical container with a piston. The gas is at room temperature 27 °C and under a pressure of 3.3.105 Pa. When the pressure from the outside is decreased, while keeping the temperature the same as the room temperature, the volume of the gas doubles. Use that the gas constant R = 8.31 J/(mol K). Think: What kind of process is this? Isobaric, isothermal, adiabatic, isochoric or non-quasi-static? (a) Find the work the external agent does on the gas in the process. W = ext. agent (b) Find the heat exchanged by the gas and indicate whether the gas takes in or gives up heat. Assume ideal gas behavior. Q= ✓J Q is realeased by gas Q is absorbed by the gas1. Thermal equilibration in a two-level atomic system: purely radiative case. Suppose a collection of two-level atoms has a specified radiative decay rate Yrad, = and no nonradiative decay, Ynr 0. The atoms are pre-cooled to absolute zero for long enough to come into equilibrium with №₂ 0, and then are suddenly moved at t = 0 into an enclosure with walls held at a finite temperature Trad. Find formulas for the populations N₁(t) and N₂(t), and for the temperature Ta(t) of the collection of atoms for t > 0. =
- 8. The average energy of a mole of Einstein solid is given by: ӨЕ 3R0E Ē = 3R + 2 ӨЕ ет — 1 where E is the Einstein temperature and R the gas constant. Obtain expressions for the average energy at the limits of zero and infinite temperature and comment on your results.1. Two monoatomic ideal gases A and B are at the same temperature. If 2 g of gas A has the same internal energy as 0.2 g of gas B. (a) Calculate the ratio of the number of moles of each gas. nA nв (b) Calculate the ratio of the atomic masses of the two gases. MA MB =1. Three moles of a monoatomic ideal gas are placed in a portable container with a volume of 4.10 x 10¬³ m3. The temperature of the gas is 165 °C. What is the average kinetic energy per molecule? sf60 s 60 ssfoc sf60 st ssf60