Determine the volume of a container for which the translational partition function for atomic hydrogen is...
Determine the volume of a container for which the translational partition function for atomic hydrogen is 1.0 states per atom at a temperature of 273 K. Comment on your answer.
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Determine the volume of a container for which the translational partition function for atomic hydrogen is...
Calculate the translational partition function of a helium atom (mHe = kg) at 297 K in...
Calculate the translational partition function of a helium atom (mHe = kg) at 297 K in a container of volume 0.6 m3 (use m3 in the expression and not dm3 or L). Express your answer in scientific notation with three significant figures (X.XXEXX).
1. Calculate (a) the thermal wave-length (in pm) and (b) the translational partition function of H...
1. Calculate (a) the thermal wave-length (in pm) and (b) the translational partition function of H atom in a cubic box of side 1.0 cm at 300 K. (c) Can a hydrogern molecule be considered as a classical system (as a diatomic molecule in whiclh hydrogen atoms behave classically) at this temperature? Explain why.
-2 points Calculate the translational partition function at (a) 300 K and (b) 600 K of...
-2 points Calculate the translational partition function at (a) 300 K and (b) 600 K of a molecule of molar mass 280 g mol'" in a container of volume 2.30 cm2. Ger at 300 K Qu at 600 K Note: this i s a measure of the vast number of accessible microstates of translation available to a molecule under these conditions.
If thermal properties reveal a sample of F2 gas to have a one-molecule translational partition function...
If thermal properties reveal a sample of F2 gas to
have a one-molecule translational partition function
qtrans of 2.29⋅10^26, and a second sample of a pure,
unknown diatomic homonuclear gas is found to have a
qtrans of 1.45⋅10^26 at the same temperature and volume,
what is the second gas?
trans of 2.29. 104, and a second sample of a pure, unknown diatomic homonuclear gas is found to have a trans of 1.45 . 102 at the same temperature and If...
3. (8 pts) Calculate the thermal wavelength and translational contribution to the molecular partition function for...
3. (8 pts) Calculate the thermal wavelength and translational contribution to the molecular partition function for chlorine gas at 333 K in a volume of 0.693 m'.
If thermal properties reveal a sample of N2 gas to have a one-molecule translational partition function qtrans of 1.45⋅1...
If thermal properties reveal a sample of N2 gas to have a one-molecule translational partition function qtrans of 1.45⋅10^26, and a second sample of a pure, unknown diatomic homonuclear gas is found to have a qtrans of 2.29⋅10^26 at the same temperature and volume, what is the second gas?
3. It can be shown that the canonical partition function of an N-particle monatomic ideal gas con...
Please be specific about the solution and thank you so much!
3. It can be shown that the canonical partition function of an N-particle monatomic ideal gas confined to a container of volume V at temperature T is given by 3 Use this partition function to derive an expression for the average energy and the constant- volume heat capacity of the monatomic ideal gas. Note that in classical thermodynamics these quantities were simply given. Your calculations show that these quantities...
5. (11 marks total) A well-insulated rigid container is subdivided by a partition into two parts...
5. (11 marks total) A well-insulated rigid container is subdivided by a partition into two parts A and B, each of volume V,- = 0.2 m, and each filled with air. The initial temperatures and pressures are P,, = 200 kPa, T.,-100°C, P,-100 kPa, and TB,-20°C. The partition is then removed, and the system comes to equilibrium. (a) (7 marks) Determine the final temperature and pressure in the container (b) (4 marks) Calculate the total entropy change for the air...
a.) What does a partition function represent in statistical thermodynamics? A. The number of rotational symmetry...
a.) What does a partition function represent in statistical thermodynamics? A. The number of rotational symmetry elements of a molecule with more than 2 atoms. B. The number of thermally accessible energy levels at a given temperature. C. The number of molecules that partition themselves between the liquid and the gas phase of a substance b.) The constant volume heat capacity for a monoatomic gas is equal to: A. RT B. R C. 32 RT D. 3/2 R c.) The...
For which of the following diatomic molecules is the high-temperature expression for the rotational partition function...
For which of the following diatomic molecules is the high-temperature expression for the rotational partition function valid if T = 30 K? a.) HCl with B = 10.591 cm^-1 b) CsI with B = 0.0236 cm^-1 Explain your choice:
1. Calculate (a) the thermal wave-length (in pm) and (b) the translational partition function of H atom in a cubic box of side 1.0 cm at 300 K. (c) Can a hydrogern molecule be considered as a classical system (as a diatomic molecule in whiclh hydrogen atoms behave classically) at this temperature? Explain why.
-2 points Calculate the translational partition function at (a) 300 K and (b) 600 K of a molecule of molar mass 280 g mol'" in a container of volume 2.30 cm2. Ger at 300 K Qu at 600 K Note: this i s a measure of the vast number of accessible microstates of translation available to a molecule under these conditions.
If thermal properties reveal a sample of F2 gas to
have a one-molecule translational partition function
qtrans of 2.29⋅10^26, and a second sample of a pure,
unknown diatomic homonuclear gas is found to have a
qtrans of 1.45⋅10^26 at the same temperature and volume,
what is the second gas?
trans of 2.29. 104, and a second sample of a pure, unknown diatomic homonuclear gas is found to have a trans of 1.45 . 102 at the same temperature and If...
3. (8 pts) Calculate the thermal wavelength and translational contribution to the molecular partition function for chlorine gas at 333 K in a volume of 0.693 m'.
Please be specific about the solution and thank you so much!
3. It can be shown that the canonical partition function of an N-particle monatomic ideal gas confined to a container of volume V at temperature T is given by 3 Use this partition function to derive an expression for the average energy and the constant- volume heat capacity of the monatomic ideal gas. Note that in classical thermodynamics these quantities were simply given. Your calculations show that these quantities...
5. (11 marks total) A well-insulated rigid container is subdivided by a partition into two parts A and B, each of volume V,- = 0.2 m, and each filled with air. The initial temperatures and pressures are P,, = 200 kPa, T.,-100°C, P,-100 kPa, and TB,-20°C. The partition is then removed, and the system comes to equilibrium. (a) (7 marks) Determine the final temperature and pressure in the container (b) (4 marks) Calculate the total entropy change for the air...
a.) What does a partition function represent in statistical thermodynamics? A. The number of rotational symmetry elements of a molecule with more than 2 atoms. B. The number of thermally accessible energy levels at a given temperature. C. The number of molecules that partition themselves between the liquid and the gas phase of a substance b.) The constant volume heat capacity for a monoatomic gas is equal to: A. RT B. R C. 32 RT D. 3/2 R c.) The...
For which of the following diatomic molecules is the high-temperature expression for the rotational partition function valid if T = 30 K? a.) HCl with B = 10.591 cm^-1 b) CsI with B = 0.0236 cm^-1 Explain your choice:
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