Problem 6.33. Calculate the most probable speed, average speed, and rms speed for oxygen (O2) molecules at room temperature.
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- 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 KA 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?
- 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?Hello. Can you help me derive the eqation Vrms = sqrt(3RT/M) This is in terrms of pressure, temperature and rms speed for a box containing moles of an ideal gas. Thank you.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?
- 1.7 Ideal gas response functions Find the thermal expansion coefficient and the isothermal compressibility for an ideal gas and show that in this case Cp - Cy = - a² can be reduced to Cp – Cy = Nkg for the molar specific heats. TV КтThe Arhennius viscosity model describes how viscosity u depends on temperature 1: u = uo e E/RT 1 DVD DVD Here u is viscosity (Pa.s), I is the temperature (in "Kelvin), E is the activation energy (J mol¹), R is the universal gas constant (R = 8.3145 J mol¹¹ K¹) and U is a constant (Pa s). Ensure all your numerical answers are provided, accurate to 4 significant figures. Linearise this non-linear equation to allow the least squares fitting, i.e. write it in the form y = a + a₁x. Identify the independent (x) and dependent (y) variables and write the linearised equation in the answer boxes, clearly defining what ao and a₁ are equal to in terms of up, E and R. y: ao: a₁: X: IOHO OHO Man