Question

An ideal gas containing 10^23 molecules is initially confined to one side of a room, then...

An ideal gas containing 10^23 molecules is initially confined to one side of a room, then expands to fill the whole room. Its internal energy does not change.

a. Calculate the multiplicity of the system before it expands. b. Calculate the multiplicity of the system after it expands. c. Calculate its entropy change. Use Stirling’s approximation to calculate multiplicity.

Homework Answers

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
One mole of an ideal gas initially at temperature T0 reversibly expands from volume V0 to...
One mole of an ideal gas initially at temperature T0 reversibly expands from volume V0 to 2V0, (a) at constant temperature (b) at constant pressure. Calculate the work, the heat, and change in internal energy of the gas in each process.
1. One mole of an ideal monatomic gas is confined to a rigid container. When heat...
1. One mole of an ideal monatomic gas is confined to a rigid container. When heat is added reversibly to the gas, its temperature changes from 300 K to 350K. (a) How much heat is added? (b) What is the change in entropy of the gas?
suppose your room volume is 41m^3. One mole of an ideal gas at STP occupies a...
suppose your room volume is 41m^3. One mole of an ideal gas at STP occupies a volume of 22.4 L a) estimate the number of moles of air in your room b) how many molecules is that? c) there are N^N ways to distribute N things onto N sites. As a rough approximation, assume there are as many states for air molecules as there are air molecules in your room. Compute the entropy of the air in your room.
A flexible balloon contains 0.340 mol of an unknown polyatomic gas. Initially the balloon containing the...
A flexible balloon contains 0.340 mol of an unknown polyatomic gas. Initially the balloon containing the gas has a volume of 6650 cm3 and a temperature of 27.0 ?C. The gas first expands isobarically until the volume doubles. Then it expands adiabatically until the temperature returns to its initial value. Assume that the gas may be treated as an ideal gas with Cp=33.26J/mol?K and ?=4/3. A)What is the total heat Q supplied to the gas in the process? (in joules)...
A.) A gas confined by a piston expands isobarically at 30 kPa. When 24,000 joules of...
A.) A gas confined by a piston expands isobarically at 30 kPa. When 24,000 joules of heat is absorbed by the system, its volume increases from 0.14 m3 to 0.4 m3. What work is done on the system and what is the change in internal energy? Work Done by the System = Joules Internal Energy Change = Joules B.) The volume of a gas decreases from 7 to 4 liters under a constant pressure of one atmosphere. Is the work...
A dilute gas is stored in one side of a chamber where the other side is...
A dilute gas is stored in one side of a chamber where the other side is vacuum. The two sides are separated by a partition and the chamber is insulated perfectly from outside. Then the partition is removed, the gas in the one side of the chamber is going to fill the entire chamber. Calculate the work done by the gas and estimate the change in the internal energy of the gas in the process.
Initially 5.00 mol of helium (which we can treat as an ideal gas) occupies volume 0.120...
Initially 5.00 mol of helium (which we can treat as an ideal gas) occupies volume 0.120 m3 and is at temperature 20.0 ∘C. You allow the helium to expand so that its final volume is 0.480 m3 and its final temperature is also 20.0 ∘C. a)Calculate the net change in entropy of the helium if you make the helium expand isothermally from 0.120 m3 to 0.480 m3. b)Calculate the net change in entropy of the helium if you first increase...
A cylinder containing an ideal gas has a volume of 2.6 m3 and a pressure of...
A cylinder containing an ideal gas has a volume of 2.6 m3 and a pressure of 1.5× 105 Pa at a temperature of 300 K. The cylinder is placed against a metal block that is maintained at 900 K and the gas expands as the pressure remains constant until the temperature of the gas reaches 900 K. The change in internal energy of the gas is +6.0× 105 J. How much heat did the gas absorb? a. 1.4E+6 J b....
A 2.5 mol sample of ideal gas initially at 1 atm and 25 °C is expanded...
A 2.5 mol sample of ideal gas initially at 1 atm and 25 °C is expanded isothermally (ΔT = 0) and reversibly to twice its original volume. What is the change in internal energy?
A gas is confined to a sub-volume V1 in an insulated rigid container. The container has...
A gas is confined to a sub-volume V1 in an insulated rigid container. The container has an adjoining sub-volume V2, initially evacuated(vacuumed), which can be connected to V1 by opening a valve. V1=V2. Suppose the valve is opened and the gas flows out of V2, filling the entire volume V1+V2. Assume the specific gas constant is R.                 a)Calculate the work done by the gas in this expansion.                 b) Calculate the change in internal energy of the gas.                ...