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A diatomic molecule is rotating about its center of mass with an angular speed...
Determine the following speeds (in m/s) for molecules of the diatomic gas hydrogen at a temperature...
Determine the following speeds (in m/s) for molecules of the diatomic gas hydrogen at a temperature of 815 K. Use 2.02 x 10-3 kg/mole as the molar mass for hydrogen molecules. (a) root mean square speed 3176 m/s (b) average speed Check your text for an expression which will allow you to determine the average speed of the gas molecules. Enter the temperature in degrees kelvin, take into consideration that we are dealing with a diatomic gas, and be sure...
Consider the diatomic oxygen molecule, O_2, which is rotating in the xy plane about the z...
Consider the diatomic oxygen molecule, O_2, which is rotating in the xy plane about the z axis passing through its center, perpendicular to its length. At room temperature, the "average" separation between the two oxygen atoms is 1.21 times 10^-10 m (the atoms are treated as point masses, each with 2.66 times 10^-26 kg.) (a) Calculate the moment of inertia of the molecule about the z-axis. (b) If the angular velocity of the molecule about the z axis is 2.0...
Helium gas is in thermal equilibrium with liquid helium at 4.32 K. Even though it is...
Helium gas is in thermal equilibrium with liquid helium at 4.32 K. Even though it is on the point of condensation, model the gas as ideal and determine the most probable speed of a helium atom (mass = 6.64 x 10- 27 kg) in it. m/s Need Help? Read It
The rms (root-mean-square) speed of a diatomic hydrogen molecule at 50∘C is 2000 m/s. Note that...
The rms (root-mean-square) speed of a diatomic hydrogen molecule at 50∘C is 2000 m/s. Note that 1.0 mol of diatomic hydrogen at 50∘C has a total translational kinetic energy of 4000 J. A) (Multiple Choice) Diatomic oxygen has a molar mass 16 times that of diatomic hydrogen. The root-mean-square speed vrms for diatomic oxygen at 50∘C is: a) (16)(2000m/s)=32000m/s b) (4)(2000m/s)=8000m/s c) 2000m/s d) (14)(2000m/s)=500m/s e) (116)(2000m/s)=125m/s f) none of the above B) The...
Mass-String-Damper system: The molecular bond due to intermolecular forces is flexible. A diatomic molecule like oxygen...
Mass-String-Damper system:
The molecular bond due to intermolecular forces is flexible. A diatomic molecule like oxygen (O_2), if disturbed, will oscillate to and fro the equilibrium position ( minimum potential energy) approximated by the equation: mu d^2x/dt^2+kx=0 Where mu is the reduced mass of the system mu = m_02 / 2 and k is the spring constant. The mu for the Oxygen molecule (O_2) is 1.33 x 10^-26 kg and k =1195 N/m. What is the natural frequency of O_2...
CHW 18 Question 3 Constants Part A Diatomic carbon dioxide gas (CO, has molar mass of...
CHW 18 Question 3 Constants Part A Diatomic carbon dioxide gas (CO, has molar mass of 44 0 g/mol ) is at a temperature of 319 K Calculate the most probable speed op m/s p425.24 Submit incorrect; Try Again; 9 attempts remaining vav 392 m/s Constants Previous Answers atomic carbon dioxide gas (CO2 has molar mass 44.0 g/mol) is at a temperature of 319 K V Correct Part C Calculate the root-mean-square speed vrms m/s thms = 347.21 Submit Previous...
Consider gas molecules in the earth's atmosphere which obey the Maxwell speed distribution law, m 3/2...
Consider gas molecules in the earth's atmosphere which obey the Maxwell speed distribution law, m 3/2 P(v) = 41 27 KT 2KT Here m is the mass of the molecule, v is the speed and k is Boltzmann's constant. (a) Find the temperature T, such that the most probable speed is sufficient to escape the earth's gravitational pull. (b) What is this temperature for hydrogen gas?
A translating and rotating ring of mass 1 kg, angular speed of 500 rpm, and translational...
A translating and rotating ring of mass 1 kg, angular speed of 500 rpm, and translational speed of 1 m/s is placed on a horizontal surface. The coefficient of friction between the ring and the surface is 0.35. For an outside radius of 3 cm, the time at which skidding stops and rolling begins is most nearly
1. What is the angular momentum of a 0.240-kg ball rotating on the end of a...
1. What is the angular momentum of a 0.240-kg ball rotating on the end of a thin string in a circle of radius 1.35 m at an angular speed of 15.0 rad/s ? 2. A diver can reduce her moment of inertia by a factor of about 4.0 when changing from the straight position to the tuck position. If she makes 2.0 rotations in 1.5 s when in the tuck position, what is her angular speed (rev/s) when in the...
5. A diatomic molecule (like H2) can be modeled as two atoms of equal mass m,...
5. A diatomic molecule (like H2) can be modeled as two atoms of equal mass m, connected by a rigid massless rod of length a. The system is free to rotate in 3-D. I claim the moment of inertia of this molecule around its ceater of mass is a. (Feel free to convince yourself that factor of k is coect!) Big hint if you 're having trouble getting started: this problem is directly related to McIntyre's Ch A) The energy...
Determine the following speeds (in m/s) for molecules of the diatomic gas hydrogen at a temperature of 815 K. Use 2.02 x 10-3 kg/mole as the molar mass for hydrogen molecules. (a) root mean square speed 3176 m/s (b) average speed Check your text for an expression which will allow you to determine the average speed of the gas molecules. Enter the temperature in degrees kelvin, take into consideration that we are dealing with a diatomic gas, and be sure...
Consider the diatomic oxygen molecule, O_2, which is rotating in the xy plane about the z axis passing through its center, perpendicular to its length. At room temperature, the "average" separation between the two oxygen atoms is 1.21 times 10^-10 m (the atoms are treated as point masses, each with 2.66 times 10^-26 kg.) (a) Calculate the moment of inertia of the molecule about the z-axis. (b) If the angular velocity of the molecule about the z axis is 2.0...
Helium gas is in thermal equilibrium with liquid helium at 4.32 K. Even though it is on the point of condensation, model the gas as ideal and determine the most probable speed of a helium atom (mass = 6.64 x 10- 27 kg) in it. m/s Need Help? Read It
Mass-String-Damper system:
The molecular bond due to intermolecular forces is flexible. A diatomic molecule like oxygen (O_2), if disturbed, will oscillate to and fro the equilibrium position ( minimum potential energy) approximated by the equation: mu d^2x/dt^2+kx=0 Where mu is the reduced mass of the system mu = m_02 / 2 and k is the spring constant. The mu for the Oxygen molecule (O_2) is 1.33 x 10^-26 kg and k =1195 N/m. What is the natural frequency of O_2...
CHW 18 Question 3 Constants Part A Diatomic carbon dioxide gas (CO, has molar mass of 44 0 g/mol ) is at a temperature of 319 K Calculate the most probable speed op m/s p425.24 Submit incorrect; Try Again; 9 attempts remaining vav 392 m/s Constants Previous Answers atomic carbon dioxide gas (CO2 has molar mass 44.0 g/mol) is at a temperature of 319 K V Correct Part C Calculate the root-mean-square speed vrms m/s thms = 347.21 Submit Previous...
Consider gas molecules in the earth's atmosphere which obey the Maxwell speed distribution law, m 3/2 P(v) = 41 27 KT 2KT Here m is the mass of the molecule, v is the speed and k is Boltzmann's constant. (a) Find the temperature T, such that the most probable speed is sufficient to escape the earth's gravitational pull. (b) What is this temperature for hydrogen gas?
A translating and rotating ring of mass 1 kg, angular speed of 500 rpm, and translational speed of 1 m/s is placed on a horizontal surface. The coefficient of friction between the ring and the surface is 0.35. For an outside radius of 3 cm, the time at which skidding stops and rolling begins is most nearly
5. A diatomic molecule (like H2) can be modeled as two atoms of equal mass m, connected by a rigid massless rod of length a. The system is free to rotate in 3-D. I claim the moment of inertia of this molecule around its ceater of mass is a. (Feel free to convince yourself that factor of k is coect!) Big hint if you 're having trouble getting started: this problem is directly related to McIntyre's Ch A) The energy...
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