Ideal gas Definition and 856 Threads

What is the probability that at one instant, in one mole of an ideal gas, all N=N_A molecules will be ofund in a volume \frac{V}{2}? Express your answer as a power of 10? usually this type of question is just a simple combinatorics question but i don't know how to set it up. i.e. how do i...

Homework Statement The ideal gas law can be recast in terms of the density of a gas. a) Use dimensional analysis to find an expression for the density \rho of a gas in terms of the number of moles n, the volume V, and the molecular weight M in kilograms per mole. b) With the expression...

Homework Statement A vertical cylinder has a piston of mass "m" on top that is free to move without friction. If there are "n" moles of an ideal gas in the cylinder at absolute temperature "T", what is the height "h" of the piston above the bottom of the cylinder so that it will be in...

Homework Statement Using the microcanonical ensemble, find the entropy for the mixing of two ideal gases, but we need to compute all at once instead of separately for each gas and adding the two. Homework Equations \Omega(E)=\int_{H<E}d\overline{p}d\overline{q} S(E,V)= k_{B}...

Hi, The particles of any ideal gas are said to non-interact between each other, however they experience collisions between themselves. My question is : Hence what is the meaning of "non-interact"? Does this mean that the molecules don't change with time? Thank you.

Hi everyone, I know that in P=nRT/v R = 8.314 m3*Pa/mol*k Now, when you are trying to calculate P, if you have volumn in m3 on the bottom, everything cancels out and you are left with Pa. I've just developed a simulator which simulates particle motion over time and calculates...

Homework Statement I have an experimental setup consisting of a 755ml stainless steel cylinder being fed with Hydrogen from atmospheric unitl 10 bar. I am using a Brooks Mass flow controller to measure and control the flow of Hydrogen into the cylinder while at the same time recording the flow...

Hello Fellow Physicists! I'm having trouble with a problem from a graduate course in Statistical Mechanics. It's a two part question; I've got the first part, it's the second part that's giving me trouble. The problem is about reversible/adiabatic processes, thinking of "reversible" as...

Homework Statement 24. At constant temperature, the behavior of a sample of a real gas more closely approximates that of an ideal gas as its volume is increased because the: a. Collisions with the walls of the container become less frequent b. Average molecular speed decreases c. Average...

Homework Statement One cylinder in the diesel engine of a truck has an initial volume of 500 cm^3. Air is admitted to the cylinder at 30 C and a pressure of 1.0 atm. The piston rod then does 450 J of work to rapidly compress the air. What is its final temperature? What is its final volume...

Homework Statement A heat engine takes 4.0 moles of an ideal gas through the reversible cycle abca, on the pV diagram, as shown. The path bc is an isothermal process. The temperature at c is 600 K and the volumes at a and c are 0.04 m^3 and 0.10m^3, respectively. The molar heat capacity at...

Homework Statement A rigid cylinder of 1000cm cubed contains 4.168grams of an ideal gas mixture. The gas mixture consists of methane and ethane at a temperature of 100C and a pressure of 500kPa a) Estimate the average molar mass of the mixure b) Calculate the composition of the mixture on a...

Homework Statement What is the density of radon gas at 0 degrees C and 1 atmosphere? Homework Equations PV= nRT 0 C = 273 K density = mass/volume g/m^3 The Attempt at a Solution I want density = g/m^3 Below are the units of PV = nRT. I thought that breaking it down...

Homework Statement A monatomic ideal gas expands at a pressure of 110kPa and from a volume of 0.75m^3 to 0.93m^3. Find the amount of heat added to the gas. Homework Equations So what I did was: W= P∆V and I know ∆U= Q-W so Q would equal ∆U+W, but how do you know what ∆U equals...

Homework Statement Making jam and then putting it into jars is called canning. The process involves putting the jam into the jars while it’s still quite hot; hot enough to kill germs. While canning some strawberry jam you notice that the lid pops in towards the jam when the temperature drops...

Q1. ADIABATIC FREE EXPANSION(unrestricted and free) in vacuum gas a volume of gas is released expected expansion proceeds withouut change in internal energy therefore temperature is contant (joule's law) . there is no pressure acting on this system threfore no work is done...

Whoops, I meant to say tact. Hehe, maybe tactons are the gauge bosons for the tact force. My Chemistry teacher, who has a Ph.D in Biology., is teaching us that one can use the Celsius temperature scale for the Ideal Gas Law using (approximate) R = 0.0821 \frac{atm * L}{mol * K} . Where R is...

Homework Statement The problem is derive the adiabatic processes for an ideal gas going through a point (v,p) on the p-V plane. Also, in terms of p,T and v,T. Draw the curves. Homework Equations First Law of Thermo Properties of an Ideal Gas Properties of Adiabatic Processes...

Homework Statement Three moles of an ideal gas are compressed from 5.5 * 10^-2 to 2.8 * 10^-2 m3. During the compression, 6.5 * 10^3 J of work is done on the gas, and heat is removed to keep the temperature of the gas constant at all times. Find the temperature of the gas...

Homework Statement Current vacuum technology can achieve a pressure of 1.0x10-6 mm of Hg. At this pressure, and at a temperature of 40.0 C, how many molecules are in 1.00cm3 ? [b]2. Homework Equations [/b pv=nrt The Attempt at a Solutioni solved it using the ideal gas equation and...

Homework Statement Helium in a steel tank is at 250kPa, 300K with a volume of .1m^3. It is used to fill a balloon. When the pressure drops to 150kPa, the flow of helium stops by itself. If all the helium is still at 300k, how big balloon is produced? Homework Equations I used the ideal...

[SOLVED]AP Question involving Ideal Gas Law - Thermal Physics - Pressure I am having some trouble with an old ap problem(PART C ONLY), see below: Homework Statement 1996 AP PHYSICS B Free Response Question: The inside of the cylindrical can has a cross sectional area of 0.005 m^3 and...

Homework Statement Even at low density, real gases don't quite obey the ideal gas law. A systematic way to account for deviations from ideal behavior is the virial expansion, PV=nRT(1+B(T)/(V/n) + C(T)/(V/n)^2+...) where functions B(T), C(T) and so on are called the virial...

[b]1. Homework Statement [/b Estimate the pressure , in atmospheres, at the following locations:Odgen Utah(1430 m above seas level);Leadville colorado(3090 m) Mt. Whithney (4420 m) and various other cities above sea level. (assume that the pressure at sea level is 1 atm.)Homework Equations...

Homework Statement Suppose that you measured the product pV of 1 mol of a dilute gas and found that pV = 22.98 L atm at 0°C and 31.18 L atm at 100°C. Assume that the perfect gas law is valid, with T = t(°C) + a, and that the value of R is not known. Determine R and a from the...

Homework Statement This is Pathria (2nd Ed) 1.6 and it seemed simple enough but the magnitude of the answer seems unbelievably large: A cylindrical vessel 1 m long and .1 m in diameter is filled with a monoatomic gas at P = 1 atm and T = 300 K. The gas is heated by an electrical discharge...

Homework Statement Assuming that the temperature of the atmosphere is independent of height, solve the barometric equation to obtain the pressure as a function of height: P(z)=P(0)exp(-mgz/kT) Show that the density obeys a similar equation. Homework Equations dP/dz=-mgP/kT...

Homework Statement Calculate the mass of a mole of dry air, which is mixture of N2(78 percent by volume, O2 (21 percent) and argon (1 percent). Use the ideal gas law to write the density of air in terms of pressure, temperature , and the average mass of the air molecules. Show , then...

Homework Statement Consider a horizontal slab of air whose thickness(height) is dz. If this slab is at rest, the pressure holding it up from below must balance both the pressure from above and the weight of the slab. Use this fact to find an expression for Dp/dz, the variation of pressure...

Homework Statement Rooms A and B are the same size and are connected by an open door. Room A however, is warmer(perhaps because its windows face the sun). Which room containks the grater mass of air? explain carefully. Homework Equations PV=nRT, PV=NkT, N=Na*n The Attempt at a...

I am trying to deduce the expression for pressure of perfect gas when the momentum distribution n(p) is given. Here is how I did. First we assume a box with side length L_x, L_y, L_z, when a particle , say moving a long x direction, collide with one side of the wall, the total change of...

I was studying the Ideal gas properties of air. Among other properties like h, P_r, U, V_r I also found an S^o. What is this entropy like thing ?

What is the mole/ Mass ratio for ambient air at a given Temp/ Humidity? I am trying to get a very rough calculation of a pressure increase in a turbine engine with a given increase in temperature. In the ideal gas law alternative of PV=m/M(RT), The only part of the equation I am having...

Homework Statement If you increase the temperature of an ideal gas, then a. the average distance a molecule travels between collisions must increase b. the pressure must increase c. the speed of its molecules must increase d. the average time between collisions of its molecule must...

The mass of a hot-air balloon and its occupants is 289 kg (excluding the hot air inside the balloon). The air outside the balloon has a pressure of 1.01 x 105 Pa and a density of 1.29 kg/m3. To lift off, the air inside the balloon is heated. The volume of the heated balloon is 890 m3. The...

Homework Statement A gas bubble with a volume of 0.10 cm^3 is formed at the bottom of a 10.0 cm deep container of mercury. If the temperature is 27C at the bottom of the container and 37C at the top of the container, what is the volume of the bubble just beneath the surface of the mercury...

The derivation of the ideal gas equation employs two assumptions that are invalid for real gas molecules. First, the equation assumes that the molecules of the gas have no volume, which is not true for real molecules. Since the molecules will have some physical volume, the volume that the gas...

Homework Statement A diver observes a bubble of air rising from the bottom of a lake (where the absolute pressure is 3.50 atm to the surface (where the pressure is 1.00 atm). The temperature at the bottom is 4.0 C, and the temperature at the surface is 23.0 C}. What is the ratio of the...

Hi all, I was brushing up on statistical ensembles, and I found something apparently weird in microcanonical treatment of the ideal "classical" gas. I'm mainly following K. Huang's Statistical Mechanics. So there's a first approach to the problem in which the MC entropy is evaluated via an...

Hi all, this is about problem 8.2 in Huang's Statistical Mechanics. I think I've been able to solve it, but the solution raised a question about the Maxwell-Boltzmann distribution. So first I provide my solution to the problem, then discuss the apparently weird point. Homework...

Homework Statement 1) Consider one-mole of gas in a heat engine undergoing the Otto Cycle a) The gas absorbs heat, at constant volume between 120'C and 300'C b) The gas expands adiabatically from V1 to V2 = 5V1 c) The gas cools, at constant volume to Td at point D where the pressure is 1At d)...

Homework Statement An empty room in a house near the Atlantic coast has a volume of 45m3. What is the kinetic energy of all of the gas molecules in the room on a 30C summer day? Homework Equations pv = nrt The Attempt at a Solution I realize that this is an ideal gas law problem, but I...

I'm trying to determine the internal volume of a container using the ideal gas law principle. 1. A container of known volume is pressurized with air to some known value relative to ambient. 2. The container of unknown volume is vented to ambient. 3. Temperature is constant for all air...

Homework Statement One mole of an ideal gas is a temperature 300K adn at 1.00 atm pressure. a) find the volume. b) Estimate the average spacing between the particles of the gas. Homework Equations For the first part I used PV=nRT and solved for V to determine the volume which I found...

Homework Statement An ideal gas expands from the state (p_1, V_1 ) to the state (p_2, V_2 ), where p_2 = 2p_1 and V_2 = 2V_1. The expansion proceeds along the straight diagonal path AB shown in the figure. Find an expression for the work done by the gas during this process. Express your...

Homework Statement In a period of 1 s, 5 x 10^23 nitrogen molecules strike a wall with an area of 8 cm^2. Assume the molecules move with a speed of 300 m/s and strike the wall head-on in elastic collisions. What is the pressure exerted on the wall? (The mass of one N2 molecule is 4.68 x...

Homework Statement Show that:- a) the expansivity \beta = \frac{1}{T} b) the isothermal compressibilty \kappa = \frac{1}{P} Homework Equations P\upsilon = RT where \upsilon = molar volume The Attempt at a Solution A big mess!

If one considers an ideal gas, what does the mean time between collissions of the molecules depend upon? molecular size? number per unit volume? temperature of the gas? I'm thinking so far, it must def depend on number density. It would usually depend on molecular size (but I thought an ideal...

A sealed balloon is filled with 1.00 L of He gas at 23 deg C and 1.00 atm. The balloon rises to a point in the atmosphere where the pressure is 220 torr and the temperature is -31 deg C. What is the final volume of the balloon after it reaches an altitude where the pressure is 220 torr? If...

Homework Statement hi, can anyone help me with this problem? a motorist equips his automobile tire with a relief type valve so that the pressure inside the tire never exceeds 240 KPA(gage). He starts a trip with a pressure of 200 KPA(gage) and a temp. 23'C in the tires.During the long...