An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 6.7, Problem 47P
To determine
The temperature for the transition motion of a nitrogen molecule would be freeze out.
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Estimate the temperature at which the translational motion of anitrogen molecule would freeze out, in a box of width 1 cm.
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m?
At what temperature will the rms speed of a molecule is quarter of that of it has at a temperature of 1270c?
Chapter 6 Solutions
An Introduction to Thermal Physics
Ch. 6.1 - Prob. 2PCh. 6.1 - Prob. 4PCh. 6.1 - Prob. 5PCh. 6.1 - Prob. 6PCh. 6.1 - Prob. 7PCh. 6.1 - Prob. 8PCh. 6.1 - Prob. 9PCh. 6.1 - Prob. 10PCh. 6.1 - Prob. 11PCh. 6.1 - Prob. 12P
Ch. 6.1 - Prob. 13PCh. 6.1 - Prob. 14PCh. 6.2 - Prob. 15PCh. 6.2 - Prob. 16PCh. 6.2 - Prob. 17PCh. 6.2 - Prob. 18PCh. 6.2 - Prob. 19PCh. 6.2 - Prob. 20PCh. 6.2 - For an O2 molecule the constant is approximately...Ch. 6.2 - The analysis of this section applies also to...Ch. 6.3 - Prob. 31PCh. 6.4 - Calculate the most probable speed, average speed,...Ch. 6.4 - Prob. 35PCh. 6.4 - Prob. 36PCh. 6.4 - Prob. 37PCh. 6.4 - Prob. 39PCh. 6.4 - Prob. 40PCh. 6.5 - Prob. 42PCh. 6.5 - Some advanced textbooks define entropy by the...Ch. 6.6 - Prob. 44PCh. 6.7 - Prob. 45PCh. 6.7 - Equations 6.92 and 6.93 for the entropy and...Ch. 6.7 - Prob. 47PCh. 6.7 - For a diatomic gas near room temperature, the...Ch. 6.7 - Prob. 49PCh. 6.7 - Prob. 50PCh. 6.7 - Prob. 51PCh. 6.7 - Prob. 52PCh. 6.7 - Prob. 53P
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- For an ideal gas enclosed in a container at temperature T, by using Maxwell’s speed distribution law, derive the expressions for rms speed and most probable speed of its molecules.arrow_forwardBy what factor does the rms speed of a molecule change if the temperature is increased from 24 °C to 1000 °C? VD ΑΣΦ Submit Request Answer ?arrow_forwarda) Calculate the mean free path in meters of a nitrogen molecule (with a mass m=4.68×10¬26 kg) located in Earth's atmosphere at sea level. Assume a temperature of T=300 K and a number density of particles of 1019 cm-3. b) Assuming that the collision cross-section of the molecule is o = 2x10-10 frequency v in Hertz and the time between collisions t in seconds. m, compute the collisionarrow_forward
- Show that the RMS velocity of gas molecule is directly proportional to square root of its absolute temperature.arrow_forwardSuppose you are in a room that is at a temperature of 293.02K. What is the approximate RMS velocity of an O2 molecule in this room (in units of meters per second)?arrow_forwardThe escape velocity from the Moon is much smaller than that from the Earth, only 2.38 km/s. At what temperature would hydrogen molecules (molar mass is equal to 2.016 g/mol) have a root-mean-square velocity vrms equal to the Moon’s escape velocity?arrow_forward
- A gas with molecules of radius r and mass per molecule m is at temperature T and pressure p. (a) Write an expression for the mean free time for a molecule moving at the rms speed for this gas. (b) Which single change would have the greatest effect on the mean free time: doubling the radius r, doubling the pressure p, or doubling the temperature T?arrow_forwardThe size of an oxygen molecule is about 2.0 * 10-10 m. Make a rough estimate of the pressure at which the finite volume of the molecules should cause noticeable deviations from ideal-gas behavior at ordinary temperatures (T = 300 K).arrow_forwardNitrogen is released at one end of a pressure chamber of length 30 meters and takes 7 hours and 44 minutes to diffuse from one end of the chamber to the other. Given that the mean radius of a nitrogen molecule is 0.15 nm, and the chamber is at room temperature (∼300 K), determine the pressure to which the chamber was set (in atm).arrow_forward
- An ideal gas is held in a container of volume V at pressure p. The rms speed of a gas molecule under these conditions is v. If the volume and pressure are changed to 3V and 2p, what will be the rms speed of the gas molecule (compared to the original speed v)?arrow_forwardUnder the Equipartition Principle, in the high temperature limit, molecular heat capacity should be 1 -NR, where N is the number of atoms in 2 the molecule and R is the gas constant. O True O Falsearrow_forwardThe mean free path of a the molecule (sphere shape) of air is 5.6 x 10-8 m at the temperature 297 K and pressure of latm. Calculate the radius of the molecule.arrow_forward
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