Homework Answers
in q trans = m is mass of 2
mol O2 i.e. 64 × 10^(-3) kg
kB is Boltzmann constant
T = 292.5K
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5) Calculate the total molecular partition function for 2 moles of Oz gas at 292.5 K...
3. The HCN molecule is a linear molecule, and the following constants are determined spectroscopically: moment...
3. The HCN molecule is a linear molecule, and the following constants are determined spectroscopically: moment of inertia, I = 18.816 x 10-47kg.m2, and three vibrational frequencies, 7 = 2096.7 cm ' (HC-N stretch), üz = 713.46 cm (H-C-N bend, two- fold degeneracy), Dz = 3311.47 cm-' (H-CN stretch). (a) Calculate Orot and Ovit. (b) Calculate the molecular partition function of HCN at 300K and 1 atm. The degeneracy of electronic ground state is 1. (c) Compute the constant volume...
Calculate the change in entropy ΔS for 5.2 moles of an ideal gas when its thermodynamic...
Calculate the change in entropy ΔS for 5.2 moles of an ideal gas when its thermodynamic state changes from p1 = 1.50 atm and T1 = 400.0 K to p2 = 3.00 atm and T2 = 600.0 K. The molar heat capacity of the gas at constant volume is CV,m = (7/2) R, and is independent of the temperature.
The ideal gas law describes the relationship among the volume of an ideal gas (V), its...
The ideal gas law describes the relationship among the volume of an ideal gas (V), its pressure (P), its absolute temperature (T), and number of moles (n): PV=nRT Under standard conditions, the ideal gas law does a good job of approximating these properties for any gas. However, the ideal gas law does not account for all the properties of real gases such as intermolecular attraction and molecular volume, which become more pronounced at low temperatures and high pressures. The van...
1a) Calculate the Volume in L of 1.2 moles of CH4 confined in a container at...
1a) Calculate the Volume in L of 1.2 moles of CH4 confined in a container at a pressure of 10 atm at 323 K. Use the ideal gas equation. C=12 g/mol H= 1 g /mol T(K)= T(°C)+273.15 R=0.0821 L-atm/mol-K PV=nRT answer a)0.318 b)90.2 c)3.18 d)31.8 1b) Is the number of particles or spheres in the cubic cell centered on the body? answer 1)3 2)4 3)1 4)2 3c) in the solid state does it form molecular crystals answer a)NaCL b)graphite c)CO2...
1. State whether the behavior of methylamine (CH,NH2) would be less ideal than that of argon. 2. Calculate the value of R in L-atm/mol-K by assuming that an ideal gas occupies 224 L/mol at STP Wh...
1. State whether the behavior of methylamine (CH,NH2) would be less ideal than that of argon. 2. Calculate the value of R in L-atm/mol-K by assuming that an ideal gas occupies 224 L/mol at STP Why do you equalize the water levels in the bottle and the beaker? 3. Why does the vapor pressure of water contribute to the total pressure in the bottle? 4. What is the value of an error analysis? 5. 6. Suggest reasons why real gases...
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...
Question 5 The rotational energy levels of a diatomic molecule are given by E,= BJ(J+1) with...
Question 5 The rotational energy levels of a diatomic molecule are given by E,= BJ(J+1) with B the rotational constant equal to 8.02 cm Each level is (2) +1)-times degenerate. (wavenumber units) in the present case (a) Calculate the energy (in wavenumber units) and the statistical weight (degeneracy) of the levels with J =0,1,2. Sketch your results on an energy level diagram. (4 marks) (b) The characteristic rotational temperature is defined as where k, is the Boltzmann constant. Calculate the...
Calculate AV mix, A Hmix, ASmix, and AGmix for mixing 2 moles of argon, 1 mole...
Calculate AV mix, A Hmix, ASmix, and AGmix for mixing 2 moles of argon, 1 mole of helium, and 3 moles of hydrogen gas carried out under constant conditions of 1 atm and 298 K. Assume ideal behavior. Shown is the graph of partial molar volumes (in cm3/mol or mL/mol) of water (A) and
c. How many moles of oxygen gas were produced? Round your answer to 4 sig figs....
c. How many moles of oxygen gas were produced? Round your answer to 4 sig figs. Question le Answer d. Calculate the experimental value for the gas constant R with units of L'atm/mol K. Round your answer to 4 sig figs. . 23L PV = nRT Question 1d Answer olzan o (2 mol 10.08. 2016 (29ct 2. While decomposing a KCIO, mixture, the experiment apparatus used to collect the oxygen gas sprang a leak. Would this error cause the following...
(30) Given the equilibrium bond length of CO is 1.138, explore population fractions (Eq. 2) of...
(30) Given the equilibrium bond length of CO is 1.138, explore population fractions (Eq. 2) of the ground state and first 15 pure rotational excited states relative to the ground state (where {=0). Mathematica is recommended. Do this at 298 K and at 100 K. Comment on how the results differ compared to part a). 1) In the application of quantum mechanical and statistical mechanical principles to samples containing large numbers of species (e.g. macroscopic samples of molecules), there is...
3. The HCN molecule is a linear molecule, and the following constants are determined spectroscopically: moment of inertia, I = 18.816 x 10-47kg.m2, and three vibrational frequencies, 7 = 2096.7 cm ' (HC-N stretch), üz = 713.46 cm (H-C-N bend, two- fold degeneracy), Dz = 3311.47 cm-' (H-CN stretch). (a) Calculate Orot and Ovit. (b) Calculate the molecular partition function of HCN at 300K and 1 atm. The degeneracy of electronic ground state is 1. (c) Compute the constant volume...
1. State whether the behavior of methylamine (CH,NH2) would be less ideal than that of argon. 2. Calculate the value of R in L-atm/mol-K by assuming that an ideal gas occupies 224 L/mol at STP Why do you equalize the water levels in the bottle and the beaker? 3. Why does the vapor pressure of water contribute to the total pressure in the bottle? 4. What is the value of an error analysis? 5. 6. Suggest reasons why real gases...
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...
Question 5 The rotational energy levels of a diatomic molecule are given by E,= BJ(J+1) with B the rotational constant equal to 8.02 cm Each level is (2) +1)-times degenerate. (wavenumber units) in the present case (a) Calculate the energy (in wavenumber units) and the statistical weight (degeneracy) of the levels with J =0,1,2. Sketch your results on an energy level diagram. (4 marks) (b) The characteristic rotational temperature is defined as where k, is the Boltzmann constant. Calculate the...
Calculate AV mix, A Hmix, ASmix, and AGmix for mixing 2 moles of argon, 1 mole of helium, and 3 moles of hydrogen gas carried out under constant conditions of 1 atm and 298 K. Assume ideal behavior. Shown is the graph of partial molar volumes (in cm3/mol or mL/mol) of water (A) and
c. How many moles of oxygen gas were produced? Round your answer to 4 sig figs. Question le Answer d. Calculate the experimental value for the gas constant R with units of L'atm/mol K. Round your answer to 4 sig figs. . 23L PV = nRT Question 1d Answer olzan o (2 mol 10.08. 2016 (29ct 2. While decomposing a KCIO, mixture, the experiment apparatus used to collect the oxygen gas sprang a leak. Would this error cause the following...
(30) Given the equilibrium bond length of CO is 1.138, explore population fractions (Eq. 2) of the ground state and first 15 pure rotational excited states relative to the ground state (where {=0). Mathematica is recommended. Do this at 298 K and at 100 K. Comment on how the results differ compared to part a). 1) In the application of quantum mechanical and statistical mechanical principles to samples containing large numbers of species (e.g. macroscopic samples of molecules), there is...
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