Ideal gas Definition and 856 Threads

Homework Statement Three moles of ideal gas are in a rigid cubical box with sides of length 0.380 m. Homework Equations What is the force that the gas exerts on each of the six sides of the box when the gas temperature is 24.0 C? What is the force when the temperature of the gas is...

Homework Statement The pressure p , volume V, number of moles n, and Kelvin temperature K of an ideal gas are related by the equation pv=nRT , where R is a constant. Prove that the coefficient of volume expansion for an ideal gas is equal to the reciprocal of the Kelvin temperature if the...

Homework Statement The cylinder and piston are made of a thermal insulator. An atom of a gas collides with the piston at an angle and bounces off at an angle. State with a reason whether momentum of the atom is conserved in this collision. Homework Equations The Attempt at a...

The “ideal gas” law The well-known, encyclopaedic experimental data (about gas compressability factor) show the general trend: the more rarefied gas the more accurate “ideal gas” law, or the same in other terms: the higher vacuum the more accurate “ideal gas” law. 1) Are another...

Homework Statement An evacuated insulated tank is filled with an ideal gas at T0, until inside pressure equals outside. No heat flow takes place. What is the temperature of the gas inside? Cv and Cp are known. Homework Equations Um... The Attempt at a Solution...

Homework Statement A gas sample enclosed in a rigid metal container at room temperature (20 C) has an absolute pressure p_1. The container is immersed in hot water until it warms to 40 C. What is the new absolute pressure p_2? Express your answer in terms of p_1 Homework Equations PV = nRT...

guys, I'm having difficulty in solving this problem. Two vessels, one having 3 times volume of the other, are connected through narrow tube of negligible volume. The initial temperature is 290K. The small vessel is then cooled down to 250K while the large vessel is heated up to 400K. What is...

Homework Statement Diagram here: http://img99.imageshack.us/img99/7189/systemgk9.jpg Two bulbs, A of volume 100cm3 and B of volume 50cm3 , are connected to a three way tap T which enables them to be filled with gas or evacuated. The volume of the tubes may be neglected. Initially bulb A is...

Homework Statement A cylinder with a frictionless piston is placed horizontally in an atmosphere pressure 1 * 105 N/m2. A gas in the cylinder is initially at a temperature of 300K with a volume of 6.0 * 10-3 m3. Then the gas is heated slowly to 400K. How much work is done by the gas in the...

Homework Statement A classical system of N distinguishable, non-interacting particles of mass m is placed in a 3D harmonic potential, U(r) = c \frac{x^2 + y^2 + z^2}{2 V^{2/3}} where V is a volume and c is a constant with units of energy. (a) Find the partition function and the...

Hi, So let's take the standard example of a gas in a container with a piston at the top. Charles' Law states that at constant pressure, an increase in temperature (kinetic energy of gas molecules) will increase the volume. This makes sense both conceptually and mathematically (per PV = nRT)...

Homework Statement On a warm day 90F, the air in aballon occupies a volume of .25m3 and exerts a pressure of 20 lb/in2. If the baloon is cooled to 30F in a refrigerator, the pressure drops to 14.2lb/in2. What is the volume of the balloon Homework Equations...

Homework Statement one mole of a monatomic gas expands from V_i = V_0 to V_f = 3V_0 according to the relationship: p = P_0[1 - 0.9sin( (pi(V - V_0))/4V_0 )] a) compute the work done by the gas as it expands from V_i = V_0 to V_f = 3V_0 b) compute the net heat flow during this expansion c)...

Homework Statement two moles of an ideal gas is initially at P = 2*20^5 Pa expands adiabaticaly to four times its original volume. it is then compressed at constant pressure to its original volume. what is the change in entropy of the gas Cp = 20.78 joules/mole-deg Cv = 12.47...

Homework Statement an ideal gas operates in a carnot cycle so that it produces a net positive work of 400 joules per cycle. the maximum temperature during the cycle is 300 deg celsius and the heat lost to a low temperature bath is 600 joules per cycle. a) what must be the temperature of the...

Homework Statement An ideal gas expands isothermally, performing 3.40x10^3 J of work in the process. a) The change in internal energy of the gas b) The heat absorbed during this expansion Homework Equations \DeltaU=Q-W The Attempt at a Solution a) Since it's isothermally...

[SOLVED] Monatomic Ideal Gas volume expansion Homework Statement A monatomic ideal gas expands slowly to twice its original volume, doing 260 Joules of work in the process. (a) Find the heat added to the gas if the process is isobaric. (b) Find the change in internal energy of...

[SOLVED] Work Done and final temperature of 5 mols of Ideal Gas Homework Statement Five moles of an ideal monatomic gas with an initial temperature of 129 degrees Celsius expand and, in the process, absorb an amount of heat equal to 1160 Joules and do an amount of work equal to 2020 Joules...

[SOLVED] Internal Energy of an ideal gas Homework Statement The temperature of 0.158 mol of an ideal gas is held constant at 67.0 degrees Celsius while its volume is reduced to a fraction of 20.0 % of its initial volume. The initial pressure of the gas is 1.19 atm. What is the change in...

Homework Statement When the volume of a gas is 2.81 L, the pressure is 740 Torr and the temperature is 20oC, how many moles of gas is there? Homework Equations PV=nRT The Attempt at a Solution 740 Torr = 740*133.3 = 98.6*10^3 Pa Temperature in Kelvin: 293 K n = PV/RT =...

Homework Statement An ideal gas of N molecules of mass m is contained in a cylinder of length L and radius R. The cylindrical container is rotating about its axis at an angular velocity \omega, and is at equilibrium with temperature T. Write down the energy for single particle states, and the...

A bubble, located 0.200 m beneath the surface in a glass of beer, rises to the top. The air pressure at the top is 1.01 X 10^5 Pa. Assume that the density of beer is the same as that of fresh water. If the temperature and number of moles of CO2 remain constant as the bubble rises, find the ratio...

Oxygen for hospital patients is kept in special tanks, where the oxgen has a pressure of 65.0 atm and a temp. of 288 K. The tanks are stored in a separate room, and the oxygen is pumped to the patient's room, where it is administered at a pressure of 1.00 atm and a temp. of 297 K. What volume...

Homework Statement A system is contained within the walls of a box and a movable piston. An object weighing W is placed on the piston. If you regard the gas and the piston as an isolated system, use the microcanonical ensemble to deduce the equation of state for p (pressure). Take a look at...

I've been looking at Charles law, Boyles law, the Pressure law, and the Ideal gas law, PV=nRT. I want to know, what limitations are there to the gas law? Basically, why aren't real gasses ideal, when isn't it possible to use the ideal gas law, and in such a case, what else do you have to use...

[SOLVED] Gas laws Homework Statement A balloon containing 2000m^3 of helium gas at 1.00atm and a temperature of 15.0 C rises from ground level to an altitude at which the atmospheric pressure is only 0.900atm. Assume the helium behaves like an ideal gas and the balloon's ascent is too rapid...

Homework Statement http://ocw.mit.edu/NR/rdonlyres/Physics/8-044Spring-2004/7A20B047-A049-44D6-96D2-75602F179856/0/notes_dfnitns.pdf There it says tht the number of independent variables of a simple fluid is 2 (see the "Complete Specification" section). But the ideal gas law is PV=NkT which...

Homework Statement The following is a probability density distribution for an ideal gas: p(v_x,v_y,v_z) = (2 \pi \sigma ^2)^{-3/2} \exp\left({\frac{v_x^2 +v_y^2+v_z^2}{2 \sigma^2}}\right) E = 0.5 m |\vec{v}|^2 Find p(E). Homework Equations The Attempt at a Solution I want to just plug in...

1. Calculate the work done by 1 mole of ideal gas in expanding adiabatically from V_1 to V_2 (volumes). Make a qualitative figure of pressure changes as a function volume changes p=p(V). I will be very grateful for solving this problem because I spent so much time on it and I still do not...

HI i need help for one of my homework problems. http://img141.imageshack.us/img141/290/sp3220080229004426gf6.gif

The question states: For an ideal gas ∂U/∂V=0. Show that this implies the heat capacity _{}CV of an ideal gas is independent of volume. I can't wrap my mind around how I could answer this question besides just stating the obvious. The expression for heat capacity is: _{}CV=∂U/∂T (with v...

Is the air in a room an ideal gas? How do you know this? How does this compare to the density of air at room temperature? thanks

Homework Statement A simple model of a gas in one-dimensional consists of N classical particles, each of mass m bouncing between the reflecting walls which are separated by a distance L. i) Calculate the average pressure on a wall in terms of the mean kinetic energy per particle. ii) L is...

You have a cylinder with an ideal gas inside, enclosed by a piston. There is a valve on the side of the cylinder could let gas through if opened. The valve is then opened and some of the gas escapes slowly while maintaining thermal equilibrium. Once it is closed, the piston is a little lower...

Homework Statement Consider an ideal-gas mixture of atoma A, atoms B and molecules AB, undergoing the reaction AB <---> A+B. If n_A, n_B, and n_{AB} denote their respective concentrations, then show that, in equilibrium \frac{n_{AB}}{n_A n_B} = V \frac{f_{AB}}{f_A f_B} = K(T) (the law...

1. Homework Statement Two moles of an ideal gas are carried around the thermodynamic cycle shown in Fig. 18-29. The cycle consists of (1) an isothermal expansion A to B at a temperature of 700 K, with the pressure at A given by pA = 9 atm; (2) an isobaric compression B to C at PC = 4 atm...

Homework Statement Two moles of an ideal gas are carried around the thermodynamic cycle shown in Fig. 18-29. The cycle consists of (1) an isothermal expansion A to B at a temperature of 700 K, with the pressure at A given by pA = 9 atm; (2) an isobaric compression B to C at PC = 4 atm; and...

[SOLVED] Ideal Gas Law Application Homework Statement One Sunday morning a family takes an automobile trip to Grandma's. At the start of the trip, the temperature is 288K (15C), and the gauge pressure in the tires is 32lb/in^2 (psi). (The gauge pressure is the excess over 14.5 psi, the...

Homework Statement A chemical reaction is a gas mixture at 500 degrees C decreases the number of moles of gas, which is assumed to behave ideally, by 34.7%. If the internal energy change is 23.8 kJ, what is the value of dH. Homework Equations Not sure if they are complete relevant...

Homework Statement A diatomic ideal gas expands at constant pressure. What percentage of the heat supplied to the gas is used to increase the internal energy of the gas? what percentage is used to do expansion work? i know Q=CnT, and in the diatomic ideal gas, C_p= \frac{7}{2} R. but i...

Homework Statement if you have an ideal gas in a syinge, then you compress the syringe to a point, then that means that Volume has decreased. Consequentally, Pressure must increase to compensate (oin order for PV=nRT to be true) right? I think this is wrong but I am not undersnating why...

I am having a little trouble on this problem: Can I treat this as an Isobaric expansion and an Isothermal compression? I think I found the change in Volume like this: \frac{\Delta V}{V_{0}}=\beta\Delta T How do I find the Pressure?

Homework Statement 1. Ozone has a maximum concentration of 4.7 x 1012 molecules/ cm3 at an altitude of 20 km. The total pressure at this altitude is 100 torr. Using the ideal gas law, what is the mole fraction of O3 at that altitude? Now express the mole fraction in ppb. Homework...

Homework Statement estimate the number of air molecules in an average sized room Homework Equations possible equation: N=n*N(a) , N(a) being avogradro number. N being the number of molecules. PV=RTn The Attempt at a Solution So should I guesstimate what n should be and the multiply that by...

I am not even sure if my question itself is correct. According to ideal gas law, all the collisions for a gas molecules are elastic in nature. Now, suppose a hydrogen atom collides with a neutron (assuming 1-D motion for simplicity), will i consider that collision to be elastic always, or are...

You know what, I think I might be stupid. I tried this question for 20 minutes already and I am still stucked Homework Statement gas is confined in a tank at pressure of 10 atm and temp of 15C, if half of the gas is withdrawn and temp is raised to 65C, what's the new pressure? Homework...

ideal gas law...I think... Homework Statement Useful Constants: 1 Torr = 133.32 Pa; R = 8.3145 J/mol·K You have a thin metal sphere of unknown volume that contains helium gas at low pressure. You put the entire metal sphere into a bath of liquid nitrogen, and a pressure gauge on the...

[SOLVED] Ideal gas law Please help. I don't know what to do. The air temperature and pressure in a laboratory are 23°C and 1.2 atm. A 1.67 L container is open to the air. The container is then sealed and placed in a bath of boiling water. After reaching thermal equilibrium, the container is...

[SOLVED] solving the ideal gas law for volume --&gt; length Consider an ideal gas at 27.0 degrees Celsius and 1.00 atmosphere pressure. Imagine the molecules to be uniformly spaced, with each molecule at the center of a small cube. What is the length L of an edge of each small cube if...

Consider an ideal gas at 27.0 degrees Celsius and 1.00 atmosphere pressure. Imagine the molecules to be uniformly spaced, with each molecule at the center of a small cube. What is the length L of an edge of each small cube if adjacent cubes touch but don't overlap? ______________ I know...