The study of distributions of carbon dioxide (CO₂) and carbon monoxide (CO) in the atmosphere is an important environmental issue. The masses of CO₂ and CO molecules are 44u and 28u, respectively with u = 1.66x10-27 kg. A. Calculate the most probable speed, average speed, and rms speed for CO₂ and CO molecules at 290K. B. Discuss the possible distributions of these particles throughout the atmosphere with explanations.
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- a. Compute the specific heat capacity at constant volume of nitrogen (N2) gas. The molar mass of N2 is 28.0 g/mol. b. You warm 1.15 kg of water at a constant 1L volume from 20∘C to 30∘C in a kettle. For the same amount of heat, how many kilograms of 20∘C air would you be able to warm to 30∘C? Make the simplifying assumption that air is 100% N2. What volume would this air occupy at 20∘C and a pressure of 1 atm ?The temperature of an ideal monatomic gas is increased from 25C to 50C. Does the average translational kinetic energy of each gas atom double? Explain. If your answer is no, what would the final temperature be if the average translational kinetic energy was doubled?For a planet to have an atmosphere, gravity must be sufficient to keep the gas from escaping The escape speed a particle needs to escape the earth's gravitational attraction is 1.1 x 10 m/s. The motion of projectiles never depends on mass, so this escape speed applies equally to rockets and to molecules in the earth's upper atmosphere. Part A At what temperature does the rms speed of nitrogen molecules equal the escape speed? Express your answer in kelvins. ΜΕ ΑΣΦΑ T- Submit Part B T- Request An At what temperature does the mms speed of hydrogen molecules equal the escape speed? Express your answer in kelvins. VAZO Submit ? K K
- A container of nitrogen molecules is at a temperature of 37.0°C. What is the mass of a nitrogen molecule in atomic mass units? [Note: nitrogen is a diatomic gas.] а. b. What is the mass of a nitrogen molecule in kilograms? C. What is the average translational kinetic energy of the nitrogen molecules? d. What is the rms speed of the nitrogen molecules? е. What is the average rotational energy of a nitrogen molecule?a. Explain what the temperature of an ideal gas actually measures, molecularly b. You have two containers, the first with 1 mole of helium and the second with 5 moles of neon at the same temperature. Which gas has more thermal energy? Explain.A research group recently made an interesting discovery, while studying laser interactions with molecular gases. They found that nitrous oxide molecules (mass 44.013 g per mole) can reach temperatures exceeding 1,648 degrees Celsius after a interacting with a few closely-spaced (in time) laser pulses. At this temperature, what is the rms speed (in m/s) of a nitrous oxide molecule?
- 1. The internal energy for a monatomic gas is equal to its total translational kinetic energy. 2 moles of Helium (monatomic gas, atomic mass = 4 u) are placed in a .1 m3 container and are at 60 kPa.a. Find the total translational kinetic energy?Suppose that the rms speed of carbon dioxide molecules, with molar mass of 44.0 g/mol, in a flame is found to be 1.2 × 105 m/s a.What temperature, in kelvins, does this represent? b. What temperature, in celsius does this represent?Dr. Chini's research group recently made an interesting discovery, while studying laser interactions with molecular gases. They found that nitrous oxide molecules (mass 44.013 g per mole) can reach temperatures exceeding 745 degrees Celsius after a interacting with a few closely-spaced (in time) laser pulses. At this temperature, what is the rms speed (in m/s) of a nitrous oxide molecule?