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Problem 4: The mean free path of a gas, 2, is defined as the average distance...
Problem 2. Find the mean free path of nitrogen gas at pressure p = 2.5 atm...
Problem 2. Find the mean free path of nitrogen gas at pressure p = 2.5 atm and temperature T = 56.5°F. The diameter of a nitrogen molecule is d= 0.3 nm. What is the average rate of collisions?
(a) Show that for a gas, the mean free path between collisions is related to the...
(a) Show that for a gas, the mean free path between collisions is related to the mean distance between nearest neighbors r by the approximate relation 1 r(r2/0) where o is the collision cross- section. (b) Given that the molecular radius of a gas molecule such as O2, N2, or CO2 is about 0.15 nm, estimate the value of r and for air at STP (standard temperature and pressure, T = 273 K, p = 1.00 atm = 1.01 X...
20.4 The mean free path of molecules in a gas is 360 nm. Part A What...
20.4 The mean free path of molecules in a gas is 360 nm. Part A What will be the mean free path if the pressure is doubled while all other state variables are held constant? Par A: What will be the mean free path if the absolute temperature is doubled while all other state variables are held constant?
5.82 The temperature in the stratosphere is -23 C Calculate the root-mean-square speeds of N O...
5.82 The temperature in the stratosphere is -23 C Calculate the root-mean-square speeds of N O and O, molecules in this region. The average distance traveled by a molecule be- tween successive collisions is called mean free path. For a given amount of a gas, how does the mean free path of a gas depend on (a) density, (b) tem- perature at constant volume, (c) pressure at constant temperature, (d) volume at constant temperature. and (e) size of the atoms?...
2) Silver has a density of 10.5 x 103 kg/m3 and a resistivity of 1.60 x...
2) Silver has a density of 10.5 x 103 kg/m3 and a resistivity of 1.60 x 10-8 m at room temperature. (a) On the basis of the classical free electron gas model, and assuming that each silver atom contributes one electron to the electron gas, calculate the average time between collisions of the electrons. (b) Calculate the mean free path from t and the electron's thermal velocity. (c) How does the mean free path compare to the lattice spacing?
3. Dielectric breakdown of a gas (a) An electron starts from rest and moves a distance...
3. Dielectric breakdown of a gas (a) An electron starts from rest and moves a distance under the influence of a unifornm electric field of magnitude E. Assume that the displacement is in the direction of the electric field. What is the final kinetic energy of the electron? Give your answer in terms of q - charge of the electron, m-mass of the electron. E and (b) Suppose the final kinetic energy of the electron is 10 eV and 1...
Calculate the mean free path in a sample of oxygen gas( M= 3.20X10^-2 kg/mol) at 35C...
Calculate the mean free path in a sample of oxygen gas( M= 3.20X10^-2 kg/mol) at 35C and 1.7ATM. Assume that the diameter of O2 molecule is 300pm. Please show work.
Problem 3 - Mean free path (8 marks) Let's assume the opacity inside of a star...
Problem 3 - Mean free path (8 marks) Let's assume the opacity inside of a star is constant. The optical depth is T = not where o is the collisional cross-section of an ion. If the optical depth is T = 1, then the photon can't go very far before it's scattered. We write the mean free path as L which is the average distance a photon can go before being scattered. a. If the conditions in the Sun have...
gas viscosity = 1.861598E-5 kg/m-s |An electrostatic precipitator has collecting plates 3 m tall 1 m...
gas viscosity = 1.861598E-5 kg/m-s
|An electrostatic precipitator has collecting plates 3 m tall 1 m |long in the direction of flow. The spacing between the charging electrode and the collecting plate is 7.56 cm. The device is to |be used to collect particles having a dielectric constant of 4 and |an effective diameter of 4 Hm. The carrier gas (air at 25 °C) has |a velocity of 1.2 m/s. Calculate the collection efficiency for a charging voltage of (a)...
IDEAL GAS with Compressibility Factor Z correction Problem 2) Find the specific volume of the gas...
IDEAL GAS with Compressibility Factor Z correction Problem 2) Find the specific volume of the gas in Problem 1A(=1.48ft^3/lbm) using the compressibility factor Z. IDEAL GAS STATE Problem 1) Air is at 200F and a pressure of 50 psia. Assuming ideal gas estimate the specific volume of this air at this condition. Air at a density of 1.2 kg/m3 is at a pressure of 150 Kpa. Find the temperature of the air assuming ideal gas. Find the specific volume of...
Problem 2. Find the mean free path of nitrogen gas at pressure p = 2.5 atm and temperature T = 56.5°F. The diameter of a nitrogen molecule is d= 0.3 nm. What is the average rate of collisions?
(a) Show that for a gas, the mean free path between collisions is related to the mean distance between nearest neighbors r by the approximate relation 1 r(r2/0) where o is the collision cross- section. (b) Given that the molecular radius of a gas molecule such as O2, N2, or CO2 is about 0.15 nm, estimate the value of r and for air at STP (standard temperature and pressure, T = 273 K, p = 1.00 atm = 1.01 X...
5.82 The temperature in the stratosphere is -23 C Calculate the root-mean-square speeds of N O and O, molecules in this region. The average distance traveled by a molecule be- tween successive collisions is called mean free path. For a given amount of a gas, how does the mean free path of a gas depend on (a) density, (b) tem- perature at constant volume, (c) pressure at constant temperature, (d) volume at constant temperature. and (e) size of the atoms?...
2) Silver has a density of 10.5 x 103 kg/m3 and a resistivity of 1.60 x 10-8 m at room temperature. (a) On the basis of the classical free electron gas model, and assuming that each silver atom contributes one electron to the electron gas, calculate the average time between collisions of the electrons. (b) Calculate the mean free path from t and the electron's thermal velocity. (c) How does the mean free path compare to the lattice spacing?
3. Dielectric breakdown of a gas (a) An electron starts from rest and moves a distance under the influence of a unifornm electric field of magnitude E. Assume that the displacement is in the direction of the electric field. What is the final kinetic energy of the electron? Give your answer in terms of q - charge of the electron, m-mass of the electron. E and (b) Suppose the final kinetic energy of the electron is 10 eV and 1...
Problem 3 - Mean free path (8 marks) Let's assume the opacity inside of a star is constant. The optical depth is T = not where o is the collisional cross-section of an ion. If the optical depth is T = 1, then the photon can't go very far before it's scattered. We write the mean free path as L which is the average distance a photon can go before being scattered. a. If the conditions in the Sun have...
gas viscosity = 1.861598E-5 kg/m-s
|An electrostatic precipitator has collecting plates 3 m tall 1 m |long in the direction of flow. The spacing between the charging electrode and the collecting plate is 7.56 cm. The device is to |be used to collect particles having a dielectric constant of 4 and |an effective diameter of 4 Hm. The carrier gas (air at 25 °C) has |a velocity of 1.2 m/s. Calculate the collection efficiency for a charging voltage of (a)...
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