Question

Calculate the change in entropy if the number of microstates of the system changes from 23...

Calculate the change in entropy if the number of microstates of the system changes from 23 to 72. (Give your answer to three significant figures. Include the sign of the value in your answer.)

Boltzmann's equation is given below.

ΔS = k * ln (Wfinal/Winitial)

In this equation, ΔS is the change in entropy, Winitial is the initial number of microstates in the system, Wfinal is the final number of microstates in the system, and k is Boltzmann's constant, 1.3806503 ✕ 10−23 J/K.

Then state whether the entropy of the system increased or decreased.

Homework Answers

Answer #1

Change in entropy = k * ln (Wfinal/Wintial)

Given Wintial = 23

Wfinal =72

K = 1.3806503*10-23 J/K

change in entropy = 1.3806503*10-23*ln(72/23) = 1.3806503*10-23*1.14117= 1.57559*10-23 J/K

Entropy is increased because change in entropy is positive if it is negative entropy decreases and other reason number of microstates increases from 23 to 72 that means system gets disturbed, entropy means dis orderness or distrubance in the system due to increase in microstates entropy increased.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The temperature of a sample of carbon dioxide gas was altered without altering the volume of...
The temperature of a sample of carbon dioxide gas was altered without altering the volume of the system. (a) Calculate the entropy change for the system if the final number of microstates is 0.713 times the initial number of microstates in the system. J/K: (b) Determine whether the temperature of the gas was raised or lowered, and explain your answer. Because the number of microstates (increased, remianed unchanged, or decreased) and the entropy (increased, remianed unchanged, or decreased), we can...
A gaseous system undergoes a change in temperature and volume. What is the entropy change for...
A gaseous system undergoes a change in temperature and volume. What is the entropy change for a particle in this system if the final number of microstates is 0.487 times that of the initial number of microstates?
Using the table provided below, what is the entropy change if 4.5 g of CaCO3(s) is...
Using the table provided below, what is the entropy change if 4.5 g of CaCO3(s) is placed in a container and allowed to decompose to CaO(s) and CO2(g) according to the following reaction? CaCO3(s) ⇔ CaO(s) + CO2(g) Substance S° (J/mol × K) CaCO3(s) 92.88 CaO(s) 39.75 CO2(g) 213.6 in J/K Note: Report your final answer to the correct number of significant figures and include the sign (+/-).
Here we calculate the partition function, molar translational internal energy, and molar translational entropy of a...
Here we calculate the partition function, molar translational internal energy, and molar translational entropy of a monatomic gas. The single particle translational partition function is qtrans=VΛ3) where Λ is the thermal wavelength and teh entropy is given by the Sackur-Tetrode equation S=N*kB*ln((qtrans*e^5/2)/N). A. Calculate the single particle translational partition function q for neon gas at T=298K and V=22.4L. Assume neon behaves ideally. B. Based on your answer in Part A, calculate the molar translational internal energy of neon at at...
The net entropy changes when a 33 g -ice cube initially at 0 ?C melts in...
The net entropy changes when a 33 g -ice cube initially at 0 ?C melts in a room. a) What is the net entropy change, if room temperature T1= 19 ?C . Express your answer to two significant figures and include the appropriate units. b) What is the net entropy change, if room temperature T2= 25 ?C . Express your answer to two significant figures and include the appropriate units.
Part A Calculate the change in entropy that occurs in the system when 56.7 g of...
Part A Calculate the change in entropy that occurs in the system when 56.7 g of water vaporizes from a liquid to a gas at its boiling point (100.0?C). ?H?vap = 40.7 kJ/mol Express your answer to three significant figures.
Calculate the change in entropy that occurs in the system when 4.50 mol of diethyl ether...
Calculate the change in entropy that occurs in the system when 4.50 mol of diethyl ether (C4H10O) melts at its melting point (− 116.3 ∘C). ΔH∘fus=7.27kJ/mol . Express your answer in joules per kelvin to three significant figures.
Calculate the change in Gibbs free energy for each of the following sets of ΔHrxn ∘,...
Calculate the change in Gibbs free energy for each of the following sets of ΔHrxn ∘, ΔS∘rxn, and T. 1) ΔH∘rxn=− 97 kJ , ΔS∘rxn=− 154 J/K , T= 310 K Express your answer using two significant figures. 2) ΔH∘rxn=− 97 kJ , ΔS∘rxn=− 154 J/K , T= 856 K 3) ΔH∘rxn= 97 kJ , ΔS∘rxn=− 154 J/K , T= 310 K 4) ΔH∘rxn=− 97 kJ , ΔS∘rxn= 154 J/K , T= 408 K
he thermodynamic properties for a reaction are related by the equation that defines the standard free...
he thermodynamic properties for a reaction are related by the equation that defines the standard free energy, ΔG∘, in kJ/mol: ΔG∘=ΔH∘−TΔS∘ where ΔH∘ is the standard enthalpy change in kJ/mol and ΔS∘ is the standard entropy change in J/(mol⋅K). A good approximation of the free energy change at other temperatures, ΔGT, can also be obtained by utilizing this equation and assuming enthalpy (ΔH∘) and entropy (ΔS∘) change little with temperature. Part A For the reaction of oxygen and nitrogen to...
± Cell Potential and Free Energy Free-energy change, ΔG∘, is related to cell potential, E∘, by...
± Cell Potential and Free Energy Free-energy change, ΔG∘, is related to cell potential, E∘, by the equation ΔG∘=−nFE∘ where n is the number of moles of electrons transferred and F=96,500C/(mol e−) is the Faraday constant. When E∘ is measured in volts, ΔG∘ must be in joules since 1 J=1 C⋅V. Part A Calculate the standard free-energy change at 25 ∘C for the following reaction: Mg(s)+Fe2+(aq)→Mg2+(aq)+Fe(s) Express your answer to three significant figures and include the appropriate units. Part B...