Ideal gas Definition and 856 Threads

Hello, I am wondering, if you have an ideal gas mixture, does that automatically mean that the solution is an ideal solution? Or is it possible to have an ideal gas mixture that is not an ideal solution. Thanks

I have read that enthalpy of an ideal gas is a function of temperature only, I am having a little trouble getting it. Consider a cylinder filled with an ideal gas so if we increase the pressure by pushing the piston down on it , a/c to ideal gas equation the temperature also rises, which in...

Hello Homework Statement From the expression of the partition function of a fermi dirac ideal gas ln(Z)=αN + ∑ ln(1+exp(-α-βEr)) show that S= k ∑ [ <nr>ln(<nr>)+(1-<nr>)ln(1-<nr>) Homework Equations S=k( lnZ+β<E>) <nr>=-1/β ∂ln(Z)/∂Er <E>=-∂ln(Z)/∂β The Attempt at a Solution I...

Homework Statement A cylinder fitted with a movable piston contains ideal gas at 27C, pressure .5 x 10^5 Pa, and volume 1.25 m^3. What will be the final temperature if the gas is compressed to .8 m^3 and the pressure rises to .82 x 10^5 Pa. A) 125 C B) 154 C C) 246 C D) 67.7 C E) 41.8...

Homework Statement Here is the problem: You are worried that your -80C freezer is on the fritz. Unfortunately you do not have a thermometer. You do have a balloon. so, you blow up the balloon and measure that it has a diameter of 10cm when at 25C. you put it in the freezer, let it come to...

Please help -- An ideal gas problem involving work on a mass 1. An ideal gas has a heat capacity of 20 J/(mol*K). One mole of the gas is in a cylinder and absorbs 1000 J of heat and lifts a 10 kg mass a vertical distance of 2 m while expanding. If the initial temperature of the gas is 300 K...

Homework Statement 2.1E5 J of heat enters an ideal gas as it expands at a constant T = 77°C to four times its initial volume. How many moles of gas are there? T=350K, Q=2.1E5 J, Vi=x, Vf=4x Homework Equations ΔU=Q-W W=\intpdV U=nCvT The Attempt at a Solution I'm not sure if I'm even on the...

Hello, I am working on the derivation that proves that the partial molar volume of an ideal gas is equal to the molar volume of an ideal gas. I am following up to the point in the textbook where they set (∂n/∂ni)nj = 1 where ni is the number of of moles of species i, and nj is the...

The problem says: Consider an ideal gas of N particles in a spherical vessel of radius R. A force acts directly over the molecules and is directly proportional to the distance to the center of the sphere ##V(r)=\alpha r##. Calculate the pressure of the gas, and the density of particles at the...

Hello all, In my physics textbook they discuss work done by ideal gas processes. The equation they give is Wgas = pΔV. I'm trying to figure it out if this is work done ON the gas by the surroundings, or work done BY the gas on surroundings. From a previous chapter, they presented the...

I was in my physics of the human body class and we got on the topic of pistons. It was given to me that the dampening force pertaining to such a piston filled with a gas is proportional to the square of the velocity of the piston; however, for fluids it was given as simply proportional to the...

Homework Statement Hey guys, So I have to estimate the temperature at which the classical / quantum transition happens for a 1m^3 box of air. This is done by comparing the de Broglie wavelength with the average distance between the particles - so basically the transition happens when they...

Homework Statement Hi can someone please have a look at this question and let me know if I am on the right track, thanks. A diesel engine requires no spark plug; instead the air in the cylinder is compresses so highly the fuel ignites spontaneously on injection to the cylinder. Q. If the air...

The ideal gas has the following requirements. 1) there are no intermolecular forces between the molecules. 2) the volume of the gas is negligible compared to the volume of the container they occupy. 3) the interactions between the particles and the container is perfectly elastic (total kinetic...

To preface my question, I know it is related to the Gibbs paradox, but I've read the wikipedia page on it and am still confused about how to resolve the question in the particular form I state below. Suppose a completely isolated ideal gas consisting of identical particles is confined to a...

Homework Statement Argon is heated from T1 to T2. Assume ideal gas behaviour. Calculate the energy input. Assume a constant volume, mass and constant specific heat capacity. Pressure variable T1=523.15 K T2=823.15 K M= 0.03995 kg m=50 kg R=8.31 Cv=0.0125 kJ/(mol.K) Homework Equations...

Homework Statement An ideal gas is enclosed in a cylinder with a movable piston at the top. The walls of the cylinder are insulated, so no heat can enter or exit. The gas initially occupies volume V1 and has pressure p1 and temperature T1. The piston is then moved very rapidly to a volume of...

Thermodynamics -- PV Diagram of an Ideal Gas Homework Statement Right, I've got a PV diagram attached to make this easier to explain. The substance is an ideal gas. I need to calculate the heat absorbed along the different paths ACB, ADB and AB. The first two are easy. The red lines in the...

Homework Statement Show that \left(\frac{\partial H}{\partial T}\right)_{T} = 0 for an ideal gas Homework Equations The question required me to first solve \left(\frac{\partial U}{\partial T}\right)_{P}...

A spherical helium balloon 11 m in diameter is at ambient temperature and pressure, 15 degrees Celsius and 100 kPa. How much helium does it contain? It can list a total mass of balanced atmospheric air. How much mass of the balloon fabric & cage can then be lifted? Here is my work but I'm...

Hi all, I was wondering if I am having a definition problem on mechanical work. Since dW = -PdV (as I was told in class), is it correct to say the pressure is fixed with W = -PV, since dW = d(PV) = -VdP - PdV = -PdV suggests dP = 0? Thanks S.

Homework Statement The pressure of a non-interacting, indistinguishable system of N particles can be derived from the canonical partition function P = k_BT\frac{∂lnQ}{∂V} Verify that this equation reduces to the ideal gas law. The Attempt at a Solution I have a very poor...

I need a detailed derivation of why pV = \frac{Nm<c>^{2}}{3}for an ideal gas using the example of a gas molecule placed in a cube-shaped container, the derivation in my book isn't that clear.^{}

i) Commercially, nitrogen is sold as compressed gas in cylinders. If a cylinder of volume 116 L is filled with N2 to a pressure of 1.38 x 104 kPa at 298.15K, what mass of N2 does the cylinder contain? Assume ideal gas behaviour. Answer: Mass N2 = 18104 g = 18.1 kg ii) Now, regarding part i), if...

Homework Statement Air is pumped into a bicycle tire. The 43 moles of air initially in the tire have a gauge pressure of 1 atm. How many moles of air must be pumped into the tire in order to raise the gauge pressure to 5 atm? Assume that the volume and temperature of the air inside the tire...

Homework Statement Hi Often I bump into the relation p=\rho c_s^2, where p is the pressure, rho the density and cs the speed of sound in the ideal gas. It is apparently called the equation of state for an ideal isothermal gas. I know about pV=NkT, which becomes p=\rho kT, but does this mean...

Homework Statement 400. g of oxygen has a volume of .25 m3 and a pressure of 125,000 Pa. What is the internal energy of the gas? What would the internal energy of the gas be if it were compressed to .10 m3 while the pressure was held constant?Homework Equations U = 3/2 PVThe Attempt at a...

Hello everyone, When I was studying about the way to find the RMS speed of an ideal gas by using classical mechanics, I wondered that why the time interval of the collisions can be approached as the time between two collisions, instead of contact-time between particle and wall. remember...

Homework Statement Suppose that 31.4 J of heat is added to an ideal gas. The gas expands at a constant pressure of 1.40x104 Pa while changing its volume from 3.00x104 to 8.00x104 m3. The gas is not monatomic, so the relation CP = 5/2R does not apply. (a) Determine the change in the internal...

The ideal gas law states that PV = nRT where P is the pressure in atmospheres, V is the volume in litres, n is the number of moles, R = 8.314 L
atm/K
mol is the gas constant, and T is the temperature in Kelvins. Suppose that at a specific instance that two moles of gas is under 5 atmospheres of...

This one's aimed primarily at the programmers in this forum. I've written a programme in python (Set as a long term project from my A-level physics teacher) which will hopefully end up being a scientifically accurate ideal gas simulator in 2D - I'll set up a bunch of particles with random...

Ideal gas laws question.. Help! Homework Statement Volume of 150cm^3 of an ideal gas has an initial temp. Of 20 degrees celcius and an initial pressure of 1 atm. What is the final pressure if the volume is reduced to 100cm^3 and the temp is raised to 40 degrees celcius. Homework...

Homework Statement Is the ideal gas law, PV = mRT, only applicable to processes which are carried out isothermally? I mean, can it not be applied to a polytropic process, PVn = k.Homework Equations See above.The Attempt at a Solution N.A.

Homework Statement An ideal gas has the following initial conditions: Vi = 520 cm3, Pi = 3 atm, and Ti = 100°C. What is its final temperature if the pressure is reduced to 1 atm and the volume expands to 1000 cm3? Homework Equations I used the equation p1 x v1 / t1 = p2 x v2 / t2...

Hi, I have a general question about polytropic processes when working with an ideal gas. A polytropic process is one for which PV\gamma = constant. What I am wondering is if we assume that n is constant, does that mean that the temperature does not change for the process? I see that...

I'm trying to find the avarage enerrgy of an ideal gas when it's under a gravitational potential. I know how to obtain the kinectic avarage energy but the potential energy depends upon the position of each molecule. There is a avarage height lo look for in order to determine this potential term?

Suppose there is a square box with an ideal gas inside at standard temperature and pressure. Now one side of the box is heated up while the other opposite side remains at room temperature (assume a large heat sink). It is clear the temperature distribution of the gas inside the chamber will...

The question is: a) Find explicit expressions for an ideal gas for the partial derivatives: (∂P/T)T, (∂V/∂T)P and (∂T/∂P)V b) use the results from a) to evaluate the product (∂P/V)T*(∂V/∂T)P*(∂T/∂P)V c) Express the definitions of V(T,P) KT(T,P)an BT(T,V) in terms of the indicated independent...

Homework Statement Air that initially occupies 0.140m3 (V1) at a gauge pressure of 103.0 kPa (p1) is expanded isothermally to a pressure of 101.3 kPa (p2) and then cooled at constant pressure until it reaches its initial volume. Compute the work done by the air. Homework Equations...

Homework Statement An ideal gas, Cp = (5/2)R, Cv = (3/2)R, is changed from P1 = 1 Bar and V1t = 12m^3 and V2t = 1m^3 by the following mechanically reversible processes: a) Isothermal compression b) Adiabatic compression followed by cooling at constant temperature c) Adiabatic compression...

In another thread, DH and I have been discussing the definition of an ideal gas. DH, who appears to be a physicist, seems to use a definition different from that which we engineers use. I am soliciting responses from both physicists and engineers as to their understanding of the term "ideal...

Homework Statement A container of gas at 3.90atm pressure and 136 ∘C is compressed at constant temperature until the volume is halved. It is then further compressed at constant pressure until the volume is halved again. What is the final temperature of the gas? Homework Equations PV=nRT...

Homework Statement So the problem gives you the compressibility factor Z. It gives two equations, one for ideal gas and other one for non-ideal gas. The question states: The second Virial coefficient B(T) depends on the temperature T and is related to the intermolecular potential B(T) =...

hey all! i have a question i was hoping some of you could unravel. specifically, in thermodynamics i understand in a quasi-static situation we can right work as: W=\int PdV where W is work, P is pressure, and V is volume. my book defines polytropic to be PV^n = constant it then...

Homework Statement Below is some values of the observed values of pressure P of a gas in a constant volume gas thermometer at an unknown temperature and at the triple point of water as the mass of the gas used is reduced. ##P_{TP}## (torr) | 100 | 200 | 300 | 400 ##P## (torr)...

Homework Statement A sample containing only NO2 and SO2 has a total pressure of 120 torr. Measurements show that the partial pressure of NO2 is 43 torr. If the vessel has a volume of 800.0 ml and the temperature is 22.0°C, how many moles of each gas are present?Homework Equations PV = nRT The...

Ideal Gas HW Problem!? Homework Statement "At an altitude of 11,000 meters, the air temperature is -50 degrees celsius. The air density is 0.403 kg/m^3. What is the pressure of the atmosphere at that altitude." Homework Equations P = P0exp(- Mgy/RT) The Attempt at a Solution I...

Homework Statement Asshown in the figure below, an enclosed cylindrical container(cross-sectional area : S) is divided into two sections (A,B) by piston P.The length of each section is 10cm.Each section contains a monoatomic gas at temperature 0°C and pressure 1.0×10^5 Pa.(both contain the...

Hi forums. I have what I think is a simple question but I'm making myself confused. I'm trying to work out the relationship between energy density ( u = energy per unit volume ) and temperature in a multi-species ideal gas (no molecules just different mass ions). The simplest example of...

Hi! I am trying to understand the statistical mechanics derivation of the ideal gas law shown at: http://en.wikipedia.org/wiki/Ideal_gas_law inder "Derivations". First of all, the statement "Then the time average momentum of the particle is: \langle \mathbf{q} \cdot \mathbf{F} \rangle=...