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![a Masa Molecular weight 53.1 3 5:31 x 1023x103 1027 No. of molecules ne=127 x 6.022x12 N = 6.023 x 10 I= c[7] + día dimension](http://img.homeworklib.com/questions/bf476400-8144-11eb-a1f4-45e89504e902.png?x-oss-process=image/resize,w_560)
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a) A container holds Oxygen molecules at constant pressure. Mass of an Oxygen molecule is 5.31...
a) Check the correctness of the following equation using the principle of dimensional homogeneity. (2 Marks)...
a) Check the correctness of the following equation using the principle of dimensional homogeneity. (2 Marks) I=c(Vv/t) - dva + a3 (I=Impulse, t= time, v=velocity, a=acceleration, c=dimensionless constant, d=distance) b) Find the Dimensional Formula of n in the following equation. (2 Marks) V=2Van + atr3 (V= Volume, t= time, r=radius, a=area) c) Pressure of a specific gas in a container is directly proportaional to square of its Volume. Find the Dimensional Formula of the proportionality constant. (3 Marks)
Suppose you had an ideal gas of molecules of mass m that can move only in one dimension. The gas ...
Suppose you had an ideal gas of molecules of mass m that can move only in one dimension. The gas is in thermal equilibrium at a temperature T. Wnte an expression proportional to the probability of finding a molecule with velocity i. bive an expression Diy fortheprobablity density for molecules of speed v in the gas. Hint: this is much easier to derive than in the three dimensional case. For each v how many speeds vare possible in one dimension?...
[12 pts] A two-dimensional gas of molecules, each of mass m, is in thermal equilibrium at...
[12 pts] A two-dimensional gas of molecules, each of mass m, is in thermal equilibrium at the absolute temperature T. Denote the velocity of a molecule by v, its Cartesian components by Vx, and Vy, and its speed by v. Determine the following mean values: (a) (Vx+ v)? (b) (V.+ av,)3 (c) V,V, + v3 (d) v v.+ cv2v
2. The magnitude of the viscous force on a small sphere of radius R moving with...
2. The magnitude of the viscous force on a small sphere of
radius R moving with a velocity v in a dilute gas is given by the
equation F= 6πμRv where μ is the viscosity.
2. The magnitude of the viscous force on a small sphere of radius R moving with a velocity v in a dilute gas is given by the equation gas is given by the equation Form gassphere our = 6uRy where u is the viscosity. 2.1...
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...
b. ii) Use particle mass and k. A container holds 0.031 moles of monatomic Argon (atomic...
b. ii) Use particle mass and k.
A container holds 0.031 moles of monatomic Argon (atomic mass 39.9) at a temperature of 0 °C and a volume of 376 cm? Constants: k = 1.38x10-2 J/K; R=8.31 J/mol-K; l u = 1.66x10-27 kg: 1 atm = 1.01x10 Pa Draw a diagram of this (a box with a random bunch of particles zooming around, labeled appropriately; remember that every variable you use in an equation needs to be defined on your diagram)....
Consider example 14.1. What is the ratio of the mass of a single molecule of the ideal gas in the example, to its (molec...
Consider example 14.1. What is the ratio of the mass of a single
molecule of the ideal gas in the example, to its (molecular
velocity)2? Be sure that you're using the correct units and to
include R in your function. (Hint: Your answer should be m/u2 =
??)
535 One mole of an ideal gas at 0°C and 1.00 atm pressure contains 6.022 x 10 molecules (Avogadro's number) and occupies a volume of 22.414 L. A good States of Matter...
In-Class Assignment 2. The figure shows a position-versus-time graph for an oscillating mass m = 0.5...
In-Class Assignment 2. The figure shows a position-versus-time graph for an oscillating mass m = 0.5 kg. x (cm) 20 10 0 -10 -20 I(s) 4 a. Determine the period of the motion. b. Determnine the angular frecquemcy of the motion c. Determine the amplitude of the motion. d. Determine the phase constant of the motion. e. Determine the maximum speed of the mass. f. Determine the maximum acceleration of the mass. g. Determine the total energy of the system....
34) Which of the followine represent STP Standard Temperature and Pressure) conditions A) TOK and Plam BT-0"C and P...
34) Which of the followine represent STP Standard Temperature and Pressure) conditions A) TOK and Plam BT-0"C and P760 atm CT-273 K and P-0 atm D) T-273 K and P lam ETIK and Patm 25) 23) Which of the following is TRUE for a liquid that is placed in a sealed container? A) Condensation of the evaporated molecules in the car can only occur once all of the liquid molecules are in the vapor for gaseous) state. B) A set...
1) Consider a pendulum of constant length L to which a bob of mass m is attached. The Q6. pendulum moves only in a two-dimensional plane (see figure below). The polar frame of reference attached to t...
1) Consider a pendulum of constant length L to which a bob of mass m is attached. The Q6. pendulum moves only in a two-dimensional plane (see figure below). The polar frame of reference attached to the bob is defined by er,ce where er is the unit vector orientecd away from the origin and e completes the direct orthonormal basis. The pendulum makes an angle 0(t) between the radial direction and the vertical direction e(t) The position vector beinge ind...
a) Check the correctness of the following equation using the principle of dimensional homogeneity. (2 Marks) I=c(Vv/t) - dva + a3 (I=Impulse, t= time, v=velocity, a=acceleration, c=dimensionless constant, d=distance) b) Find the Dimensional Formula of n in the following equation. (2 Marks) V=2Van + atr3 (V= Volume, t= time, r=radius, a=area) c) Pressure of a specific gas in a container is directly proportaional to square of its Volume. Find the Dimensional Formula of the proportionality constant. (3 Marks)
Suppose you had an ideal gas of molecules of mass m that can move only in one dimension. The gas is in thermal equilibrium at a temperature T. Wnte an expression proportional to the probability of finding a molecule with velocity i. bive an expression Diy fortheprobablity density for molecules of speed v in the gas. Hint: this is much easier to derive than in the three dimensional case. For each v how many speeds vare possible in one dimension?...
[12 pts] A two-dimensional gas of molecules, each of mass m, is in thermal equilibrium at the absolute temperature T. Denote the velocity of a molecule by v, its Cartesian components by Vx, and Vy, and its speed by v. Determine the following mean values: (a) (Vx+ v)? (b) (V.+ av,)3 (c) V,V, + v3 (d) v v.+ cv2v
2. The magnitude of the viscous force on a small sphere of
radius R moving with a velocity v in a dilute gas is given by the
equation F= 6πμRv where μ is the viscosity.
2. The magnitude of the viscous force on a small sphere of radius R moving with a velocity v in a dilute gas is given by the equation gas is given by the equation Form gassphere our = 6uRy where u is the viscosity. 2.1...
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...
b. ii) Use particle mass and k.
A container holds 0.031 moles of monatomic Argon (atomic mass 39.9) at a temperature of 0 °C and a volume of 376 cm? Constants: k = 1.38x10-2 J/K; R=8.31 J/mol-K; l u = 1.66x10-27 kg: 1 atm = 1.01x10 Pa Draw a diagram of this (a box with a random bunch of particles zooming around, labeled appropriately; remember that every variable you use in an equation needs to be defined on your diagram)....
Consider example 14.1. What is the ratio of the mass of a single
molecule of the ideal gas in the example, to its (molecular
velocity)2? Be sure that you're using the correct units and to
include R in your function. (Hint: Your answer should be m/u2 =
??)
535 One mole of an ideal gas at 0°C and 1.00 atm pressure contains 6.022 x 10 molecules (Avogadro's number) and occupies a volume of 22.414 L. A good States of Matter...
In-Class Assignment 2. The figure shows a position-versus-time graph for an oscillating mass m = 0.5 kg. x (cm) 20 10 0 -10 -20 I(s) 4 a. Determine the period of the motion. b. Determnine the angular frecquemcy of the motion c. Determine the amplitude of the motion. d. Determine the phase constant of the motion. e. Determine the maximum speed of the mass. f. Determine the maximum acceleration of the mass. g. Determine the total energy of the system....
34) Which of the followine represent STP Standard Temperature and Pressure) conditions A) TOK and Plam BT-0"C and P760 atm CT-273 K and P-0 atm D) T-273 K and P lam ETIK and Patm 25) 23) Which of the following is TRUE for a liquid that is placed in a sealed container? A) Condensation of the evaporated molecules in the car can only occur once all of the liquid molecules are in the vapor for gaseous) state. B) A set...
1) Consider a pendulum of constant length L to which a bob of mass m is attached. The Q6. pendulum moves only in a two-dimensional plane (see figure below). The polar frame of reference attached to the bob is defined by er,ce where er is the unit vector orientecd away from the origin and e completes the direct orthonormal basis. The pendulum makes an angle 0(t) between the radial direction and the vertical direction e(t) The position vector beinge ind...
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