Ideal gas Definition and 823 Threads

The ideal gas law states that the pressure P, volume V , and temperature T of a gas are related by PV = NkT where N is the number of molecules of gas, and k is Bolzmann's constant, about 1.38 10^-23 J/K where J is Joules and K is Kelvins. Say that I have 10^24 molecules of gas. The gas...

When we use Boyle's Law it means that as pressure increases the volume of the container would decrease. In my notes they stated that if I were to halve the volume there would be two times the number of collisions per second which implies that the force exerted is doubled. But why is this so? I...

Homework Statement Say you have a large column of gas with insulating walls standing on the Earth's surface, which is L high and at room temperature (25degC) at the interface of the surface and column. Assuming the potential energy on the gas is only duel to gravity, U = mgx where x is the...

Homework Statement Calculate the gas' mechanical work on its environment for the thermodynamic process path IF. Solution says: 505 J Homework Equations W=\int_i^f p,dv i = Vi, initial volume f = Vf, final volume The Attempt at a Solution My approach is to find a...

what is the change In internal energy of an ideal gas when it is expanded Adiabatically from (p °,v°) to ( p,v )? The relevant equations : dQ= dU+ pdv ; pV^ r = K (constant). r = Cp / Cv. Attempted solution : During adiabatic process dQ=0 ; p= k v ^ -r Th f r : du= -k v^ -rdv Integrating...

Homework Statement The state of 3.75mol ideal gas changed from 0.3atm and 500K to 2.2atm and 330K under constant external pressure (Pex = 2.2atm). Calculate ΔE, work (w) and heat(Q), ΔH, ΔS. Homework Equations w= -∫PexdV ΔE=1.5nRΔT=w+Q ΔH=ΔE+Δ(PV) ΔS=dQrev/T The Attempt at a...

Homework Statement What is the thermal efficiency of an engine that operates by taking n moles of diatomic ideal gas through the cycle 1 -------> 2 -------> 3 -------> 4 ------> 1 shown in the figure ? http://s3.amazonaws.com/answer-board-image/2d50cb1e-1bc6-4325-acf6-fe1df4f0a7b5.jpeg...

Hi guys i am new here hope you are all well, had a problem with a physics question hope you can help. Helium gas m=2.0(g) is at an initial temperature T1=100 degreees and initial pressure P1=100000 Pa, and has a volume V1. The gas undergoes isobaric (P=constant) expansion until its volume is...

Two ideal gases are separated by a partition which does not allow molecules to pass from one volume to the other. Gas 1 has: N1, V1, T1, Cv1 for the number of molecules, volume it occupies, temperature in kelvin, and specific heat per molecule at constant volume respectively. Gas 2 has: N2, V2...

Homework Statement Two ideal gases are separated by a partition which does not allow molecules to pass from one volume to the other. Gas 1 has: N1, V1, T1, Cv1 for the number of molecules, volume it occupies, temperature in kelvin, and specific heat per molecule at constant volume respectively...

Homework Statement A monatomic ideal gas is compressed adiabatically. What is ΔS of the gas? n = 1.00 vi = 10.00 L vf = 4.00 L Constant External Pressure = 50.00 atm Homework Equations ΔU = q + w = 0 + (-PextΔV) ΔS = ∫[(qrev)/T]dQ The Attempt at a Solution In order to...

Hi, I try to understand a cycle process with an diatomic ideal Gas. Question: Is it possiblie to use the ideal gas law: pv=NkT for the diatomic gas? I thought it is just for monoatomic. Thx Abby :redface:

Homework Statement Container A in Fig. 19-22 holds an ideal gas at a pressure of 5*10^5 [Pa] and a temperature of 300 [K]. It is connected by a thin tube (and a closed valve) to container B, with four times the volume of A. Container B holds the same ideal gas at a pressure of 1*10^5...

Homework Statement The ideal gas law states that 1 mole of an ideal gas at 0°C and 1 atmosphere=1.0125x105Pa (standard temperature and pressure, or “STP”) occupies a volume of 22.4litres (2.24x10-2m3). (i) Use this result to obtain an approximate value for the increase in volume that...

Homework Statement Find the most probable kinetic energy of an ideal gas molecule. Homework Equations v=sqrt(2RT/M) where v= most probable velocity k= Boltzmann's constant T= temperature of the system M= molar mass of the gas Maxwell's formula of...

Hey, I'm trying to come up with a question, be it a simple one, where a mass of ideal gas (Oxygen) is bound in a cylindrical tube and has a circular piston applied to it - so that the gas becomes pressurised. Once the gas has been pressurised it will gain a certain temperature, which is the...

Homework Statement The ideal gas has a density of 2.4 kgm–3 at a pressure of 2.0 × 105 Pa and a temperature of 300 K.Find the root mean square speed of the gas atoms. Homework Equations p=(1/3)*(Nm/V)*v(squared) The Attempt at a Solution I tried to make v(squared) the subject...

Hi All, I would like to understand a little more about the following equation moles = \frac{Mass(g)}{Molar Mass} I know that this is to calculate the Moles for use in the ideal gas law equation PV=n \times R \times T Lets say I had to find two variable in the ideal gas law...

Homework Statement Find the work done by an ideal gas on a hooke's spring when heat is added until volume and pressure triple Homework Equations Pv=nrT Q=ncΔt W=(1/2)kx^2 F=kx=P*A The Attempt at a Solution I took the work equation for the spring and subbed in P*A to get w=(1/2)(PA)Δx and...

Perhaps I have some mental block with basic algebra (so don't judge me on that), but... Here is a simple high-school level question regarding ideal gas laws: If I have two fixed chambers "a" and "b", both of equal volume connected in the middle with a compressor, and I compress gas taken...

Homework Statement Okay so I'm trying to figure out how to get this answer. Theres a souffle made of some ingredients and filled with these ingredients along with some air. Everything starts off at 283.15 K and gets heated in the oven to 463.65 K. Also assume that the air expands with heat...

Homework Statement As an application of TD and to demonstrate the power of the formalism of differential forms, show that if one defines the ideal gas temperature TI (T) from the ideal gas equation p V = N KB TI(T); this is related to the absolute temperature T (from the second law) by TI...

Homework Statement Molecules in an ideal gas collide with each other at random times. The probability distribution governing the time between collisions is P(t) = Ae^(-bt). (a) Find the value of A so that P(t) is correctly normalized. (b) Find the average time between collisions, t. This...

Homework Statement The ideal gas law from chem is PV = nRT. A process carried out at const. pressure is said to be isobaric. A process carried out at const. temperature is said to be isothermal. A.) Using limits and the ideal gas law and assuming const. number of moles, show that that the...

Homework Statement A gas cylinder contains 4.00 × 10^4cm^3 of hydrogen at a pressure of 2.50 × 10^7Pa and a temperature of 290K. The cylinder is to be used to fill balloons. Each balloon, when filled, contains 7.24 × 10^3cm^3 of hydrogen at a pressure of 1.85 × 10^5Pa and a temperature of...

Homework Statement Ideal gas. In an ideal-gas model. N molecules move almost indepdently with very weak interactions between, in a three-dimensional box of volume V. Find the heat capacity of the system. SHO. Consider N independent SHOs in a system. each osciallating about a fixed point...

[b]1.A Jaguar XK8 convertible has an eight-cylinder engine. At the beginning of its compression stroke, one of the cylinders contains 493cm^3 of air at atmospheric pressure (1.01*10^5 Pa) and a temperature of 27.0 degress celcius . At the end of the stroke, the air has been compressed to a...

A quick question about throttling: I've read that for an ideal gas, if you force it through a capillary into a vacuum and allow it to equilibrate, it will experience no temperature change. I was wondering if this is correct, and if anything changes when you're forcing it through with a piston...

derive the density of an ideal gas as a function of temperature?? Homework Statement Derive the density of an ideal gas when it is allowed to expand as a function of temperature when pressure is kept constant/ Homework Equations The Attempt at a Solution density= PM/(RT) , where...

Homework Statement Suppose a monatomic ideal gas is changed from state A to state D by one of the processes shown on the PV diagram (attached). a) Find the total work done on the gas if it follows the constant volume path A-B followed by the constant pressure path B-C-D. b)Calculate the total...

100g of CO are contained in a weighted piston-cylinder device. Initially, the CO is at 1000kPa and 200°C. It is then heated until 500°C. Determine the final volume of the CO treating it as an ideal gas. This is what my lecturer gave in his solution...

When 2 ideal gas mix, there will be no temperature change. Is that because there will not be any chemical reaction occur, so no temperature change? thank

Homework Statement If the volume V and pressure P of an ideal gas decrease, which statement is true about the internal energy IE, temperature T and the intermolecular forces IF? (I am not going to copy and paste the choices here in an effort to focus attention on the attempt of...

Homework Statement Gas is allowed to expand freely when the force of a piston is removed. In terms of the molecular model of an ideal gas, explain why the temperature decreases when it expands. Homework Equations Molecular model of an ideal gas The Attempt at a Solution When the...

Homework Statement A cylinder of height H = 1.2 m high rests on a table. The bottom half of the cylinder is filled with an ideal gas; on top of that is a frictionless, movable disk of negligible mass and thickness. Above the disk, the top half of the cylinder is completely filled with liquid...

the ideal gas law, PV=nRT, I have question about the parameter P. Does P stands for the pressure exert by the gas or the atmospheric pressure? Say helium gases are enclosed inside a balloon. Then it gives pressure, temperature, and volume data to use the gas law. Does the pressure refer...

Homework Statement Basically, find the chemical potential of an ideal gas knowing its heat capacities.Homework Equations P V = n R T \ \ \ \ (1) U = n c_V T + U_0 \ \ \ \ (2) S = S_0 + n c_V ln (T) + nR ln (V) = S_0 + n c_V ln (T) + nR ln \left ( \frac{nRT}{P} \right ) \ \ \ \ (3) \mu = \left...

A compressor is being used to adiabatically pressurize three moles of ideal gas from 5 bar and 150 C to 50 bar. Determine the minimum work that must be supplied to the compressor and the outlet temperature of the ideal gas. Assume the ideal gas has a constant pressure heat capacity of 29...

Homework Statement A chemical reaction vessel has a piston/cylinder arrangement, shown in gure 1 above. When the reaction is complete, the gaseous products are at 250 KPa and 300C and can be considered an ideal gas. The 50 kg piston has a diameter of 0.1 m and initially pushes against a set of...

Hello I wrote a simple simulation of an 2D ideal gas, with elastic collisions. I wonder how should I simulate the pressure that is implemented on the particles in the box, by a piston with certain weight. it's easy to adjust the area of the box and the temperature of the particles which is...

Hi, trying to find the error here compressing ideal gas from p1 to p2 adiabatically means the invested energy in the gas is negative and equal to E = -αnRT1[(p2/p1)γ-1/γ-1] = -cvm(T2-T1) If then the gas is allowed to cool down isochorically back to T1, it would lose heat Q...

entropy = jouls/kelvin supose 1 liter of ideal gas is allowed to freely expand into a 2 liter volume in an isolated system the energy in the system would remain the same, the temperature in the system would remain the same therefore if entropy =jouls/kelvin the entropy would remain the same...

Homework Statement For an ideal gas, undergoing a quasistatic process, the equations below are correct. Evaluate them given that we have an isothermal process Homework Equations PV^\alpha=K where K is a constant and \alpha=C-C_P/C-C_V W = \frac{K}{\alpha -1}...

Homework Statement This question would be impossible to solve without the diagram, which I can't post so instead i'll just tell you what I have so far. gas springs are commonly used on trunk lids of cars. They are a closed system consisting of a pressure tube and piston rod with piston...

Hi I built with Python a simulation of an ideal gas in 2D, treating the molecules as hard spheres with elastic collisions. I am trying to test the experimental values of P,T etc. in the simulation versus the theoretical values. however, I have two problems: 1) when comparing the pressure...

Homework Statement Prove that (∂P/∂V) n,T = 1/(∂V/∂P) n,T n and T are supposed to mean that theyre just constants Homework Equations Ideal Gas PV=nRT The Attempt at a Solution I tried (∂P/∂V) n,T= ∂nRT/v/∂V = ∂nRT/V ∂V then I am stuck here

Homework Statement Using the expression for the entropy change of an ideal gas when the volume and temperature change and TV\gamma-1 = constant, show explicitly that the change in entropy is zero for a quasi-static adiabatic expansion from state V1T1 to state V2T2.Homework Equations TV\gamma-1...

Homework Statement An ideal gas is enclosed in a gas syringe. The pressure on the gas is now increased but the temperature of the gas is kept constant. The average kinetic energy of the gas molecules will... A) increase B) remain constant C) decrease D) double Homework Equations...

I'm a third year chemical engineering major and this is my first real thermodynamics class, so I'm not entirely sure what I'm doing. Any help is greatly appreciated! Homework Statement A rigid horizontal cylinder contains a freely moving piston. Initially, it divides the cylinder into equal...

A syringe contains ideal gas. The piston is frictionless and no gas escapes. Once heated slowly, the piston moves outwards. The piston stops moving when the temperature is steady. The pressure of the gas after the piston stops moving remains the same (no change in pressure). What can we say...