should I use 250 cm^3 or 500 cm^3Homework Answers
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should I use 250 cm^3 or 500 cm^3
1. Consider a container of volume 250 cm...
I thought when A has 2 mol and B has 1mol mole fraction would be 2/3 for A and 1/3 for B then the...
I thought when A has 2 mol and B has 1mol
mole fraction would be 2/3 for A and 1/3 for B
then the result is
delta S = -R (3N)*((2/3)ln(2/3) + (1/3)ln(1/3))
(and this was actually the answer of (4)!)
but the result is 3Rln(2).
Where am i wrong?
what is the difference between microstates in
2mol A 1mol B
and
2mol A 1mol A ?
1A rigid container is divided into two compartments of equal volume by a...
5) A container is divided into three equal volume compartments A, B and C that are...
5) A container is divided into three equal volume compartments A, B and C that are flled with 4 moles of hydrogen, 3 moles of nitrog constant temperature of 300K. Calculate the Gibbs energy of mixing when the two partitions are removed. Assume perfect behavior.
Solve the following from the introduction to the thermodynamics of materials (5.12 only part (b) and...
Solve the following from the introduction to the thermodynamics
of materials (5.12 only part (b) and (c) sixth edition
Problem: 4.1 A rigid container is divided into two compartments
of equal volume by a partition.
One compartment contains 1 mole of ideal gas A at 1 atm, and the
other
contains 1 mole of ideal gas B at 1 atm. Calculate the increase in
entropy which
occurs when the partition between the two compartments is removed.
If the first
compartment...
1 The Gibbs Paradox Consider N particles, each of mass m, in a 3-dimensional volume V at temperature T. Each particle i...
1 The Gibbs Paradox Consider N particles, each of mass m, in a 3-dimensional volume V at temperature T. Each particle i has momentum pi. Assume that the particles are non-interacting (ideal gas) and distinguishable. a) (2P) Calculate the canonical partition function N P for the N-particle system. Make sure to work out the integral. b) (2P) Calculate the free energy F--kBTlnZ from the partition function Z. Is F an extensive quantity? c) (2P) Calculate the entropy S F/oT from...
Thermodynamics Consider an insulated container of volume V2. N ideal gas molecules are initially confined within...
Thermodynamics
Consider an insulated container of volume V2. N ideal gas molecules are initially confined within a sub-volume (V1) by a piston and the remaining volume V2 - Viis in vacuum. Let T., P., U1, S1, A1, H1, and G1 be the temperature, pressure, internal energy, entropy, Helmholtz free energy, enthalpy, and Gibbs free energy of the ideal gas at this state, respectively. Now, imagine that the piston is removed so that the gas has volume V2. After some time...
. (40 points) Consider an insulated container of volume V2. N idea gas molecules are initially...
. (40 points) Consider an insulated container of volume V2. N idea gas molecules are initially confined within volume V, by a piston and the remaining volume V2 - Vi is in vacuum. Let T,, P1, E1, S, Al, Hi, G, be the temperature, pressure, energy, entropy, Helmholtz free energy, enthalpy, and Gibbs free energy of the ideal gas at this state, respectively V1 V2-V Using Sackur-Tetrode equation for the entropy of ideal gas where kB R/NA is Boltzmann's constant...
A 3-m long cylinder has three compartments with two and each compartment has a volume of...
A 3-m long cylinder has three compartments with two and each compartment has a volume of 45 L. Initially, the separators arc held in place and each compartment is open to the air, with the pressure in the room at 760 torr (1.0 atm), and the temperature at 0 degree C. Assume that the air is an ideal gas How many moles of gas are in each compartment? The connections from the compartments to the room are sealed off and:...
Detailed answer please Problem 3 Consider a container divided by a partition into two chambers. The...
Detailed answer please
Problem 3 Consider a container divided by a partition into two chambers. The first chamber contains 15 kg of water at 350°C, 1.2 MPa. The other chamber contains 19 kg of water at 105 °C with 60 percent of the mass is in the liquid phase. The partition is now removed and the water in both chambers are allowed to mix until the system reaches a thermal equilibrium of 120°C. Determine: (a) The final pressure in the...
3. For diatomic ideal gases at room temperature, find out the change in entropy due to mixing using the following parti...
3. For diatomic ideal gases at room temperature, find out the change in entropy due to mixing using the following partition functions hv expl2kT T V( h2 Ztranslation rotation vibration h2 hv 1 exp 4. For solids, Einstein the vibrational levels given energy are as hv, j-0,1,2,.. Assuming that the N 2 strongly coupled atoms are +=3 equivalent to 3N simple harmonic independent oscillators, find out the followings (a) Equation for the vibrational energy as a function of temperature (b)...
0.65 mol of argon gas is admitted to an evacuated 62 cm^3 container at 327 celsius....
0.65 mol of argon gas is admitted to an evacuated 62 cm^3 container at 327 celsius. The gas then undergoes heating at constant 0.65 mol of argon gas is admitted to an evacuated 62 cm^3 container at 327 celsius. The gas then undergoes heating at contant volume to a temperature of 300 celsius. What is the final pressure of the gas?
I thought when A has 2 mol and B has 1mol
mole fraction would be 2/3 for A and 1/3 for B
then the result is
delta S = -R (3N)*((2/3)ln(2/3) + (1/3)ln(1/3))
(and this was actually the answer of (4)!)
but the result is 3Rln(2).
Where am i wrong?
what is the difference between microstates in
2mol A 1mol B
and
2mol A 1mol A ?
1A rigid container is divided into two compartments of equal volume by a...
5) A container is divided into three equal volume compartments A, B and C that are flled with 4 moles of hydrogen, 3 moles of nitrog constant temperature of 300K. Calculate the Gibbs energy of mixing when the two partitions are removed. Assume perfect behavior.
Solve the following from the introduction to the thermodynamics
of materials (5.12 only part (b) and (c) sixth edition
Problem: 4.1 A rigid container is divided into two compartments
of equal volume by a partition.
One compartment contains 1 mole of ideal gas A at 1 atm, and the
other
contains 1 mole of ideal gas B at 1 atm. Calculate the increase in
entropy which
occurs when the partition between the two compartments is removed.
If the first
compartment...
1 The Gibbs Paradox Consider N particles, each of mass m, in a 3-dimensional volume V at temperature T. Each particle i has momentum pi. Assume that the particles are non-interacting (ideal gas) and distinguishable. a) (2P) Calculate the canonical partition function N P for the N-particle system. Make sure to work out the integral. b) (2P) Calculate the free energy F--kBTlnZ from the partition function Z. Is F an extensive quantity? c) (2P) Calculate the entropy S F/oT from...
Thermodynamics
Consider an insulated container of volume V2. N ideal gas molecules are initially confined within a sub-volume (V1) by a piston and the remaining volume V2 - Viis in vacuum. Let T., P., U1, S1, A1, H1, and G1 be the temperature, pressure, internal energy, entropy, Helmholtz free energy, enthalpy, and Gibbs free energy of the ideal gas at this state, respectively. Now, imagine that the piston is removed so that the gas has volume V2. After some time...
. (40 points) Consider an insulated container of volume V2. N idea gas molecules are initially confined within volume V, by a piston and the remaining volume V2 - Vi is in vacuum. Let T,, P1, E1, S, Al, Hi, G, be the temperature, pressure, energy, entropy, Helmholtz free energy, enthalpy, and Gibbs free energy of the ideal gas at this state, respectively V1 V2-V Using Sackur-Tetrode equation for the entropy of ideal gas where kB R/NA is Boltzmann's constant...
A 3-m long cylinder has three compartments with two and each compartment has a volume of 45 L. Initially, the separators arc held in place and each compartment is open to the air, with the pressure in the room at 760 torr (1.0 atm), and the temperature at 0 degree C. Assume that the air is an ideal gas How many moles of gas are in each compartment? The connections from the compartments to the room are sealed off and:...
Detailed answer please
Problem 3 Consider a container divided by a partition into two chambers. The first chamber contains 15 kg of water at 350°C, 1.2 MPa. The other chamber contains 19 kg of water at 105 °C with 60 percent of the mass is in the liquid phase. The partition is now removed and the water in both chambers are allowed to mix until the system reaches a thermal equilibrium of 120°C. Determine: (a) The final pressure in the...
3. For diatomic ideal gases at room temperature, find out the change in entropy due to mixing using the following partition functions hv expl2kT T V( h2 Ztranslation rotation vibration h2 hv 1 exp 4. For solids, Einstein the vibrational levels given energy are as hv, j-0,1,2,.. Assuming that the N 2 strongly coupled atoms are +=3 equivalent to 3N simple harmonic independent oscillators, find out the followings (a) Equation for the vibrational energy as a function of temperature (b)...
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