2. Consider a system with 1000 particles that can only have two energies, &, and ɛ, with E, > E,. The difference between these two values is Aɛ = ɛ, - & . Assume that gi = g2 = 1. Using the equation for the Boltzmann distribution graph the number of particles, ni and n2, in states &, and ɛ, as a function of temperature for a A6 = 1×10-21 J and for a temperature range from 2 to 300 K. (Note: kµ = 1.380×10 23 J K-!. " - & % n or = e n, 8,

2. Consider a system with 1000 particles that can only have two energies, &, and ɛ, with E, > E,. The difference between these two values is Aɛ = ɛ, - & . Assume that gi = g2 = 1. Using the equation for the Boltzmann distribution graph the number of particles, ni and n2, in states &, and ɛ, as a function of temperature for a A6 = 1×10-21 J and for a temperature range from 2 to 300 K. (Note: kµ = 1.380×10 23 J K-!. " - & % n or = e n, 8,

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Related questions

Q: Calculate AS for the reaction 3H₂(g) +N2(g) → 2NH3(g) at 715 K. Omit terms in the…

A: The reaction is given to us as This can also be written as

Q: A gas cylinder with a total volume of 1.000 L is divided initially by a movable piston into two…

Q: Determine the heat capacity of the system, CV.

Q: Give detailed Solution..show work..don't give Handwritten answer..don't use Ai for answering this

A: The objective of this question is to calculate the amount of energy required to heat a certain…

Q: A constant-volume calorimeter was calibrated by carrying out a reaction known to release 1.09 kJ of…

Q: 2. Find ASy, 4Ssurm q, w, and AU for the reversible isothermal expansion of 3.000 mol of argon sys…

A: Calculate the work done (w) for the isothermal reversible expansion: 1 J = 0.001 kJ

Q: None

Q: The constant pressure heat capacity of a perfect gas was found to vary with temperature according to…

A: Solution

Q: For CO_2 how would the theoretical ratio of C_p (heat capacity at constant pressure)/ C_v (heat…

A: The molar specific heat capacity of a gas at constant volume (Cv) is the amount of heat required to…

Q: The speed of sound, cs , in a perfect gas of molar mass M is related to the ratio of heat…

A: The given formula for the speed of sound(Cs )inside a perfect gas of molar mass M is: Cs = γ*RTM or…

Q: Which equation(s) would you need to calculate AS for a fixed amount of an ideal gas at 298 K that…

A: According to thermodynamics , a process is said to be adia atic if no heat enters or leave the…

Q: 1. The molar heat capacity of copper at 1 atm., in Joules/(K-mol) over the temperature range 100 to…

A: The sum of internal energy and product of volume and pressure is known as enthalpy.

Q: Consider the combustion reaction of glycine at standard condition and 298 K: NH₂CH₂COOH (s) + O₂ (g)…

A: This problem is based on First Law of Thermodynamics. The solution is given below.

Q: 8) A sample of 1 mol of perfect gas at 298 K and I bar with Cvm = 3/2 R and Cpm = 5/2 R is put…

A: We need to determine: w, q, △ U, △ H for (a) constant volume heating to twice its initial…

Q: The molar constant pressure heat capacity of an ideal diatomic gas is R. Calculate Cy for 6.10 mol…

A: Heat capacity is defined as the amount of heat needed for a substance to increase the temperature by…

Q: Please provide detailed solution and give the explanation of the concept............

A: First, we need to convert the given temperatures from Celsius to Kelvin because the heat capacity…

Q: 6. When 1.464 g of propane (C₂H₂(g)) are burned in an excess of oxygen at 1 bar and 298.15 K, 67.9…

Q: 1.CalculateΔEforeachofthefollowingcases: a.q=+51kJ;w=-15kJ b.q=+100kJ;w=-65kJ c.q=-65kJ;w=-20kJ dd.…

Q: A sample consisting of 1.00 mol Ar is expanded isothermally at 20 °C from 10.0 dm3' to 30.0 dm3'.…

A: For isothermal expansion of an ideal gas against vacuum, (i.e. against zero external pressure) is…

Q: Find dSsys, dSsurr, q, w, and dU for the reversible isothermal expansion of 3.000 mol of argon…

A: Calculate the work done (w) for the isothermal reversible expansion: 1 J = 0.001 kJ

Q: 3. Derive the thermodynamic equation of state for an ideal gas starting from internal energy then…

A: internal energy, entropy, heat and work done all are thermodynamic properties which are related to…

Q: Delta G= Delta H - T delta S G and H are state functions. I get that. Delta S universe =…

A: In this question, we have to find out the correct answer of given problem by the help of the…

Q: 11919mitol65 ada E2B.4(b) When 2.0 mol CO₂ is heated at a constant pressure of 1.25 atm, its…

Concept explainers

Techniques and applications of quantum theory

Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are impossible to determine, the laws of classical physics do not apply to this discipline. As a result, quantum field theory is primarily based on assumptions and probabilities.

Question

2.
Consider a system with 1000 particles that can only have two energies, &, and ɛ, with
E, > E,. The difference between these two values is Aɛ = ɛ, - & . Assume that gi = g2 = 1. Using the
equation for the Boltzmann distribution graph the number of particles, ni and n2, in states &, and ɛ, as a
function of temperature for a A6 = 1×10-21 J and for a temperature range from 2 to 300 K. (Note: kµ =
1.380×10 23 J K-!.
" - & % n
or
= e
n, 8,

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Techniques and Applications of Quantum Theory

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

i need the answer quickly
9. Larks] Calculate 4H for the process in which Cl2(g) initially at 298.15 K at 1 bar is heated to 690. K at 1 bar. Use the temperature-dependent heat capacity for Cl2(g) below. How large is the relative error if the molar heat capacity is assumed to be constant at its value of 298.15 K over the temperature interval? CPM -33.95 J K¹ mol for C12(g) at 298.15 K. -22.85 +0.06543 -1.2517 x 10-4+1.1484 x 10-7 Cpm JK-¹mol-1
am i doing this correct ??
Calculate the number of microstates for each of the following systems. Simplify algebraic expressions or evaluate numerically. a. 4 b. 4 3 3 2 2 1 1 0 0 Wa = W₁ ≈ 1 1 4 1 3 n - 4 I P Enter numeric value
5. Suppose a 1-mol sample of an ideal gas is expanded isothermally and reversibly from 10 to 20 L at 298K. How much work is associated in this process? (Please show the soultion of the correct answer)
7:53 PM Mon Nov 21 < TOA 5.) A sample of 2.00 mol of a perfect gas is initially at a pressure of 111 kPa and temperature of 277 K. The sample is heated reversibly to 356 K at a constant volume. The constant volume molar heat capacity is 2.5R. Calculate the final pressure, AU, q, and w. n= 2.00 mol AT= 356 K-277 K= 79 K P= 111 kPa 1.11x 10³ Pa Cp.m= 2.5R = 2.5.8.314 / mcl.k= 20.79 J/mol K F w=0 AU= q Reversible pressure inside is same as pressure outside = m CSAT @87% q= 4 8