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6. A closed monatomic gas system, m=0.015kg, has a pressure, P=1.5x105Pa and temperature, T=350.OK. The average...
11. A closed, diatomic gas system, m=0.025kg, has a pressure, P=1.35x105Pa and temperature, T=390.OK. The average...
11. A closed, diatomic gas system, m=0.025kg, has a pressure, P=1.35x105Pa and temperature, T=390.OK. The average mass per gas particle is 6.63x10-26kg. At constant volume, the temperature of the gas is then decreased to 275.OK. a. Calculate Vems for the gas at the end of the cooling process. b. Determine Q for this process. c. Determine the specific heat capacity of the gas under these conditions.
10. A closed, diatomic gas system, m=0.0968kg, has an initial pressure, P=250kPa and volume of 5.501,...
10. A closed, diatomic gas system, m=0.0968kg, has an initial pressure, P=250kPa and volume of 5.501, at 273.OK. At this temperature, the root-mean-squared speed of the molecules is 206.4m/s. a. Calculate the average mass per gas particle. 8 8. 8 8 b. Determine the total thermal energy of the gas system. 00 8 8 8 8 C. Estimate the isobaric specific heat capacity of the gas.
An ideal monatomic gas initially has a temperature of T and a pressure of p. It is to expand...
An ideal monatomic gas initially has a temperature of T and a pressure of p. It is to expand from volume V1 to volume V2. If the expansion is isothermal, what are thefinal pressure pfi and the work Wi done by the gas? If, instead, the expansion is adiabatic, what are the final pressure pfa and the work Wa done by the gas? Stateyour answers in terms of the given variables.
13.A monatomic ideal gas (N=9.1x1023), undergoes adiabatic expansion. During the expansion, the temperature of the gas...
13.A monatomic ideal gas (N=9.1x1023), undergoes adiabatic expansion. During the expansion, the temperature of the gas decreases from 800.0K to 500.OK. The initial volume of the gas is 0.10 m². a. What is the final volume and pressure of the gas, after expansion? b. What is the change in internal energy of the gas? C. Calculate the work associated with this process.
pressure, find out the 1. For helium gas at moderate temperature T and low followings if the helium container's vol...
pressure, find out the 1. For helium gas at moderate temperature T and low followings if the helium container's volume is V. (1) Partition function (2) Entropy (3) Enthalpy (4) Helmholtz energy (5) Pressure 4 cf. The density of the quantum states is given by g(e)= "V"m3/21/2 h3 kT 1/2-/kTde TkT 2 If needed, use the following integral; 2. For monatomic ideal gas of N particles in volume V which follows the Maxwell-Boltzmann distribution, find out the speed distribution N(v)dv....
The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas. pressure, temperature, and density
The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas. pressure, temperature, and density (or quantity per volume$$ \eta V=N k_{\mathrm{B}} T(\mathrm{or} p V=n \mathrm{RT}) $$Where \(N\) is the number of atoms, \(n\) is the number of moles, and \(R\) and \(k_{\mathrm{B}}\) are ideal gas constants such that \(R=N_{\mathrm{A}} k_{\mathrm{B}}\), where \(N_{A}\) is Avogadro's number. In this problem. you should use Boltzmann's constant instead of the gas constant \(R\).Remaıkably. the...
B.2 The multiplicity of a monatomic ideal gas is given by 2 = f(N)VN U3N/2, where...
B.2 The multiplicity of a monatomic ideal gas is given by 2 = f(N)VN U3N/2, where V is the volume occupied by the gas, U its internal energy, N the number of particles in the gas and f(N) a complicated function of N. [2] (i) Show that the entropy S of this system is given by 3 S = Nkg In V + ŽNkg In U + g(N), where g(N) is some function of N. (ii) Define the temperature T...
A monatomic ideal gas is taken through a closed cycle. Starting from state 1 with pressure...
A monatomic ideal gas is taken through a closed cycle. Starting from state 1 with pressure P1 and volume V1 the gas expands isothermally (at constant temperature) to volume V2 = 2V1. It is then compressed at constant pressure back to the original volume V1 and then heated at constant volume to return to the original pressure P1 . a) Find how much work is performed by this gas during each part of this cycle. b) Find how much heat...
A monatomic ideal gas has C p = 5R/2. In a constant pressure process at p...
A monatomic ideal gas has C p = 5R/2. In a constant pressure process at p = 2.00x105 Pa, the volume of 0.500 moles of the gas is increased from 3.00x10-3 m3 to 9.00x10-3 m3 . For this process, the change in the internal energy of the gas is
Consider an ideal monatomic gas (N gas atoms) in a cubic box (with box length of...
Consider an ideal monatomic gas (N gas atoms) in a cubic box (with box length of a) and is kept at temperature (T) and pressure (P). Assume the collision is elastic. The average random velocity square of all gas atoms is v2. What is the total energy of this system?
11. A closed, diatomic gas system, m=0.025kg, has a pressure, P=1.35x105Pa and temperature, T=390.OK. The average mass per gas particle is 6.63x10-26kg. At constant volume, the temperature of the gas is then decreased to 275.OK. a. Calculate Vems for the gas at the end of the cooling process. b. Determine Q for this process. c. Determine the specific heat capacity of the gas under these conditions.
10. A closed, diatomic gas system, m=0.0968kg, has an initial pressure, P=250kPa and volume of 5.501, at 273.OK. At this temperature, the root-mean-squared speed of the molecules is 206.4m/s. a. Calculate the average mass per gas particle. 8 8. 8 8 b. Determine the total thermal energy of the gas system. 00 8 8 8 8 C. Estimate the isobaric specific heat capacity of the gas.
13.A monatomic ideal gas (N=9.1x1023), undergoes adiabatic expansion. During the expansion, the temperature of the gas decreases from 800.0K to 500.OK. The initial volume of the gas is 0.10 m². a. What is the final volume and pressure of the gas, after expansion? b. What is the change in internal energy of the gas? C. Calculate the work associated with this process.
pressure, find out the 1. For helium gas at moderate temperature T and low followings if the helium container's volume is V. (1) Partition function (2) Entropy (3) Enthalpy (4) Helmholtz energy (5) Pressure 4 cf. The density of the quantum states is given by g(e)= "V"m3/21/2 h3 kT 1/2-/kTde TkT 2 If needed, use the following integral; 2. For monatomic ideal gas of N particles in volume V which follows the Maxwell-Boltzmann distribution, find out the speed distribution N(v)dv....
The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas. pressure, temperature, and density (or quantity per volume$$ \eta V=N k_{\mathrm{B}} T(\mathrm{or} p V=n \mathrm{RT}) $$Where \(N\) is the number of atoms, \(n\) is the number of moles, and \(R\) and \(k_{\mathrm{B}}\) are ideal gas constants such that \(R=N_{\mathrm{A}} k_{\mathrm{B}}\), where \(N_{A}\) is Avogadro's number. In this problem. you should use Boltzmann's constant instead of the gas constant \(R\).Remaıkably. the...
B.2 The multiplicity of a monatomic ideal gas is given by 2 = f(N)VN U3N/2, where V is the volume occupied by the gas, U its internal energy, N the number of particles in the gas and f(N) a complicated function of N. [2] (i) Show that the entropy S of this system is given by 3 S = Nkg In V + ŽNkg In U + g(N), where g(N) is some function of N. (ii) Define the temperature T...
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