Now, let's use this property of logarithms to learn something about the number of microstates available to a molecular system. The absolute entropy of a system is related to the number of microstates available to it via Boltzmann's formula S = kB In W. If a system containing one mole of an ideal gas has an entropy of 167.7 J/K, how many microstates does it have? Report the order of W, as we have defined it above, and you should use scientific notation, 1.23E45, and report 3 (three) significant figures.

Imagine that you are rolling three typical six-sided dice. Each way that you can roll a particular outcome using these three dice represents a microstate for that outcome. How many ways can you roll a five with these three dice? That is, how many microstates exist for a roll of five with three dice? What is the entropy associated with an outcome of five in this situation?

Hi, could I get some help with this macro-connection physics problem involving isothermal expansion? The set up is: For an isothermal reversible expansion of two moles of an ideal gas, what is the entropy change of the a) gas and b) the surroundings in J/K to 4 digits of precision if the gas volume quadruples, assuming NA = 6.022e23 and kB = 1.38e-23 J/K? Thank you.

For one component gas that is confined in a box with volume V. We can get the entropy of the gas as S= Nk, in- where N is the total a² number of atoms, a is the radius of the atom. Can you guess how it is obtained?

By considering the number of accessible states for an ideal two-dimensional gas made up of N adsorbed molecules on a surface of area A, obtain an expression for the entropy of a system of this kind. Use the entropy expression to obtain the equation of state in terms of N, A, and the force per unit length F. What is the specific heat of the two-dimensional gas at constant area?

The attached images have 3 parts, solve those 3 parts and also because of limited images to upload, this is the 4th part, iam typing here: Calculate the total change in entropy for entire system, in J/K.

Problem 1: Describe a situation in which the entropy of a container of gas is constant. In other words, come up with your own problem where the answer is that AS = 0.

With two dice, each numbered 1–6, there are two possible ways to roll a 3.   Thus, for the outcome of 3 (a particular macrostate), there are 2 microstates. How many possible ways are there to roll a 5? number of ways to roll a 5:     What is the entropy associated with an outcome of 5?

The entropy change of one mole of an ideal gas of vibrating diatomic molecules, as volume and temperature is changed is provided (image). Using the equation derived to demonstrate that for an ideal gas undergoing an adiabatic expansion from initial volume Vi to final volume Vf the change in entropy is zero.