In problem 2.26 you found the multiplicity for an ideal monatomic gas that lives in a two-dimensional universe. It was (see attachment). As implied, the multiplicity is determined by the internal energy, the area occupied by the gas, and the number of particles in the gas. From these, determine the temperature, 'pressure', and chemical potential of this gas. (As a side note: in two dimensions, the 'pressure' is defined as force per length).

I have stated the general 3D form of microstates and then evolved that in 2D case as per your problem ...

Solution Summary

I have stated the general 3D form of microstates and then evolved that in 2D case as per your problem so that you can understand the cases. Then I illustrated basic mechanisms to determine pressure, temperature and entropy. Then I calculated entropy and pressure while I clearly hinted the form of temperature without hand calculation keeping this as your exercise. This is just one algebraic manipulation as I have stated differential form.

A monatomicideal gas(y=1.67) is contained within a box whose volume is 2.5 m^3. The pressure of the gas is 3.5 x 10^5 Pa. The total mass of the gas is 2.3 kg.
What is the speed of sound in the gas?

Hi,
I need help with these problems; would you help me?
Thank you.
1) A Carnot engine has a power output of 150 kW. The engine operates between two reservoirs at 20.0C and 500C. How much energy does it absorb per hour?
2) The internal energy in a monatomicideal gas is 2.00 * 10^4J. The volume of the gas is 2.00 liters. Wh

When 117 J of energy is supplied as heat to 2.00 moles of an ideal gas at constant pressure, the temperature rises by 2.00 K. calculate the molar heat capacity at constant pressure and the molar heat capacity at constant volume for the gas. is the gas monatomic or diatomic?

A beaker with a metal bottom is filled with 20 g of water at 20 degrees Celsius. It is brought into good thermal contact with a 4000 cm3 container holding 0.40 mol of a monatomic gas at 10 atm pressure. Both containers are well insulated from their surroundings.
Question:
What is the gas pressure after a long time has elapsed?

A container is partitioned by a porous, fixed, wall. Because the wall is porous, it allows particles to diffusive from one side to the other (note that by 'diffuse' I mean that there are tiny holes in the wall which allow the gas particles to make it through; there is not some big gaping hole). The wall also allows the flow of

Suppose that the enthalpy of some substance over a large temperature range can be expressed as a function of the temperature (where alpha, beta and gamma are constants):
H =alpha*ln(T) + ln(gamma) + beta/T^2
a) What is the heat capacity of this substance at constant pressure?
b) You begin with two samples each contai

1.SOLVE A=1/2H(b1+b2) for b2
2. write 3-square root-36 in standard form Linear Functions
3.Find the slope of the line passing through the points (-2, 4) and (-3, 5).
a.1 b.-1 c.-9/5 d.-5/9
Zeros of Polynomial Functions
4.Find the zeros of P(x) = (

A sample of ammonia gas with a volume of 7.0 mL at a pressure of 1.68 atm is compressed to a final volume of 2.7 mL at constant temperature. Use the ideal gas law to calculate the final pressure.
a. 100 atm
b. 2.2 atm
c. 1 atm
d. 4.4 atm