3. a) Calculate the internal energy of 4 mol of a polyatomic gas at 12 °C [ans: 28420.2 J] b) Calculate the change in internal energy for 3 moles of hydrogen gas if it is heated from 273K to 323K. [ans: 3116.25 J]
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![Given R= 8.31 J mol·l K-' mol', k=1.38 x10-23 J K', NA = 6.23 x 1023 mol-1
3. a) Calculate the internal energy of 4 mol of a polyatomic gas at 12 °C [ans: 28420.2
J]
b) Calculate the change in internal energy for 3 moles of hydrogen gas if it is heated
from 273K to 323K. [ans: 3116.25 J]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9ae79ea-5449-4aca-838b-4982c8c5d619%2Fbdf4c0ea-9e46-4939-83ee-b206c551ab32%2Fqhfoxdb_processed.jpeg&w=3840&q=75)

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- 1. 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. 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 =* ? 63. During isothermal compression, the internal energy of an ideal gas : a. Decreases b. Can go either way depending on the precise pressures and volumes c. Stays the same d. Increases 64. What is the total internal energy of a sample of 9 moles of air (considered as an ideal gas) at a temperature of 3°C? Assume that the rotational degrees of freedom are fully activated, and that the vibrational modes are "frozen out". (k=1.38 x 10-23 J/K, N-6.022x10²3) 3°C = 273+3 = 276 U= n NAF ( 1₂ KT) (9)(6.022 X 10²²) x 1.38×10²³ x 276) = 1032 a. 1.19 x 105 J b. 9.29 x 104 J c. 7.23 x 104 J d. 5.16 x 104 J 65. What is the average translational kinetic energy per oxygen molecule in this sample? a. 1.2 x 10-20 J b. 9.14 x 10-21 J c. 5.71 x 10-21 J d. 1.54 x 10-20 J 66. Is this kinetic energy the same or different from the nitrogen molecules in the sample? a. Different b. The same 67. What is the rms speed of the oxygen molecules in this sample? (the atomic mass number of oxygen is 15.994, 1 u =…
- Suppose a tank contains 521 m³ of neon (Ne) at an absolute pressure of 1.01×105 Pa. The temperature is changed from 293.2 to 294.4 K. What is the increase in the internal energy of the neon?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