Homework Statement
The volume of 30.0 moles of a monoatomic ideal gas is reduced at a uniform rate from 0.616m3 to 0.308m3 in 2h. Its temperature is increased at a uniform rate from 27.0◦C to 450◦C. The gas passes through thermodynamic equilibrium states throughout.
(a) Write down explicitly...
I believe I know the answer to this question; I need an expert to verify it for me.
I work for a company that makes latex balloons. The people that have been here for a long time insist that if one is putting a small (5" balloon) filled with helium inside a larger (30") balloon then one must...
Dear All,
I am a mechanical engineer who has recently started working in the oil& gas industry (compression). I would appreciate if someone can guide me to where can I learn about reciprocating compressors.
Much appreciated.
Homework Statement
A chemical reaction is described by the equation N2O4 <> 2NO2. The pressure equilibrium constant for the given reaction is equal to 8 Pa. Which picture describes the equilibrium? (Please, see the attached file!). [/B]Homework Equations
N2O4 <> 2NO2[/B]The Attempt at a...
Homework Statement
Let ##h## be the height above sea level. Show that the reduction in air pressure ##dp## as a function of ##dh## is given by ##\frac{dp}{p} = -\frac{Mg}{RT}dh##. Where ##M## is the molar mass of air and ##T## the temperature at height ##h##.
2. Solution
This problem got a...
Hi all, I have a question from a tutorial sheet that I'm stuck with. The question is
Estimate the pressure at which a gas of argon atoms, at a temperature of 300 K, will begin to show deviations from the ideal gas behaviour due to the finite size of the atoms. Answer: Of order 10^9 Pa.
So I...
This is health&safety related question that came out of a discussion I had with a friend.
I sometimes keep a large (L sized) helium cylinder in my lab. It is pressurized to 200 Bar and equipped with a standard regulator.
Now, the question is what would happen if it fell over and the...
So basically I was wondering whether it's possible to get the expression of ideal gas using molecular flux equation which is ##\phi = \frac{1}{4}\bar{v}n##. The derivation should be straightforward. I need to get the expression of pressure. Because the flux by definition already gives the rate...
Homework Statement
5 lbs of nitroglycerin detonates. What is the total volume of the gases produced? Homework Equations
PV=nRT
The Attempt at a Solution
I used the balance chemical equation of the decomposition of nitroglycerin and used stoichiometry to find the number of moles of nitrogen...
Homework Statement
(problem won't be word for word, because much of the info. is to throw people off); This large gummy bear, which contains 51 servings and each serving contains 29 grams of carbs. Assuming all the carbs are glucose, how many liters of CO2 would eating this gummy bear cause...
Homework Statement
Tums react in your stomach to produce a gas. The average adult stomach expand to one liter when full. Calculate the pressure in the average adult stomach after taking 2 Tums.
Homework Equations
Since its asking for pressure, and the volume is given perhaps PV=nRT should be...
I am working on a DIY project and want to understand the system/mathematical model of a traditional steam espresso machine.
How I have started to think about the problem is a closed container with liquid and gas. At room temperature I know the vapor pressure of the water. As I increase the...
Homework Statement
10 moles of an ideal gas Cv = 20.8 J/mol at T0 = 300 K and P0 =0.3 MPa occupy the left half of an insulated vessel. At time t=0 a 1 kW electrical heating element is turned on. after 30 s, the partition dividing the vessel ruptures and the heating element is turned off...
Problem statement, work done, and relevant equations:
One mole of ideal gas is initially at 1 atm and has a volume of 5L.
a) Calculate the work done on the gas during an isothermal, reversible compression to a volume of 2L.
##W_isothermal = - \int_{v_i}^{v_f} p dv = - \int_{v_I}^{v_f}...
Homework Statement
A cylinder contains an ideal gas and rotates at angular speed w. Find the probability that a molecule is at radial position r from the axis of the cylinder.
Homework Equations
Boltzmann distribution, P(E)∝Ω(E)exp(-E/kT)
where Ω(E) describes the degeneracy of the energy level...
Homework Statement
A stationary gas has a kinetic energy of 500 J at 30 C. What is its kinetic energy at 60 C?
Homework Equations
KE = 3/2 RT
The Attempt at a Solution
I first converted T to Kelvin = 333K. I substituted all the values into find KE but my answer is around 40K, which is not...
When the ideal gas entropy is derived, we consider N atoms in a box of volume=Lx*Ly*Lz. Then, we make the assumption that Lx,Ly,Lz >>de Broglie wavelength of atoms. I am not sure why we need to make this assumption? Thanks!
Homework Statement
Which of the following changes during the free adiabatic expansion of a real gas?
(I) internal energy
(II) temperature
(III) pressure
Homework Equations
PV=nRT; ΔU= q + w
The Attempt at a Solution
For ideal gases under adiabatic conditions, we know that there is no heat...
How can we find the gas concentration in a chamber without using a sensor i mean by calculation
suppose a mixture of gas ammonia 10% and CO2 90% flow to the gas chamber how we can find that concentration of gas in the chamber?
Homework Statement
The net work done on a certain gas is 55J, and the net heat flow into the gas is -23J. What is the net work done by the gas?
Homework Equations
U = q + w
The Attempt at a Solution
This problem seems very conceptual so I didn't use the formula above. I just deduced from...
Hi Guys,
I am aware how to calculate flow rate Q (c x dt), but when sizing a direct gas fired water heater there is no dt but of course need allow for temp rise, but what parts of information can be known and unknown and how would i even start to put a formula together? Ultimately i would like...
I was assigned a problem in my Engineering Thermodynamics class as follows:
Problem:
An ideal gas in a rigid closed container undergoes isochoric heating from T1 = 27 C to T2 = 77 C. Initial gage pressure is 300 kPa, pressure of surroundings is 1 atm.
Find the final gage pressure.
The way to...
hi friends,
I've used the following equation in Thermodynamics: an engineering approach(Cengel) for calculating exergy efficiency of compressor. In fact, for an adiabatic compressor with negligible kinetic
and potential energies, the second-law(exergy) efficiency becomes...
Homework Statement
In a cylinder of an automobile engine, immediately after combustion the gas is confined to a volume of 50.0 cm3 and has an initial pressure of 3.00x106 Pa. The piston moves outward to a final volume of 300 cm3, and the gas expands without energy transfer by heat. (a) What...
How ozone having higher molecular mass then oxygen and CO2 is on a certain upper level of atmosphere?
Doesn't the more dense objects come closer to ground by gravitation?
Homework Statement
Helium gas with T1 = 500K and P1 = 0.02MPa in a rigid container with volume V = 1 cm^3.
Then Helium goes through a process where atoms with kinetic energies greater than kB*T1, where kB is Boltzmann constant, are instantaneously removed from the container.
Atoms remaining...
Plain and simple, is it possible to create H+ Gas? For example, if you had H3O+ and heated it immensely, wouldn't it separate into H2O and H+? Wouldn't there then be a way to separate the H+ out?
I understand why there is KE in the particles of a gas but I cannot really visualize the where the PE is coming from.. please straight forward answers!
Hi can anyone please suggest me how to find out the rate at which gas in LPG cylinder reduce.Initially before use gas cylinder will be full as the consumer start using the gas it starts reducing how do i calculate how much is left out and the rate at which it is getting reduced ,And also if a...
Homework Statement
(Excerpted from a longer, multipart problem but essentially)
Show that for an ideal gas,
$$ \frac{\partial p}{\partial T}\bigg)_\mu = \frac{S}{V}. $$
Homework Equations
• The ideal gas law, of course
$$ pV = Nk_{\rm B}T $$
• Pressure, temperature, and chemical potential...
Homework Statement
A quantity of 4.50 g CaC2 is reacted with an excess of water at 298K and atmospheric pressure.
CaC2 (s) + 2 H2O (l) --> Ca(OH)2 (aq) + C2H2 (g)
Calculate the work done in Joules by the Acetylene gas against the atmospheric pressure.[/B]Homework Equations
After asking my...
I am having trouble calculating the work done by a product gas in reversible adiabatic expansion, and in calculating the final temperature. pV gamma = constant, Cv = constant (assume), gamma = cv + nR / Cv.
anyone who can help me out?
Hello PF! Consider the free expansion of an ideal gas. The process occurs at constant temperature, therefore, ΔU = 0, Q = 0, and W = 0. Suppose we are given the initial and final pressures of the gas, and we calculate ΔG = nRT ln(P2/P1). As P2 < P1, ΔG < 0. This is intuitive, as a free expansion...
Homework Statement
A helium balloon is used to lift a load of101N. The weight of the envelope of the balloon is46.5N and the volume of the helium when the balloon is fully inflated is31.5m3. The temperature of the air is 0°C and the atmospheric pressure is 1.00 atm. The balloon is inflated with...
Homework Statement
The temperature of an ideal gas is 00C and the pressure is 1[atm]. imagine every molecule is enclosed in a cube, what's it's side length?
Homework Equations
PV=nRT
Avogadro's number: 6.023E23
The Attempt at a Solution
I assume volume of i liter:
$$1[atm]\cdot...
Problem statement:
A sample of 8.02 × 10-1 moles of nitrogen gas ( γ = 1.40) occupies a volume of 2.00 × 10-2 m3at a pressure of 1.00 × 105 Pa and temperature of 300 K. It is isothermally compressed to half its original volume. It behaves like an ideal gas. Find the change in entropy of the gas...
Hi there,
Could someone explain to me why fossil fuels, such as coal and oil, produce fewer particulate matter emissions than natural gas?
Also, how would you expect the combustion temperature of these fuels to affect particulate emissions? Would a higher temperature lead to a more complete...
Homework Statement
An ideal Bose gas is confined inside a container that is connected to a particle reservoir. Each particle can occupy a discrete set of single-particle quantum states. If the probability that a particular quantum state is unoccupied is 0.1 then what is the average number of...
The Scenario:
Let's say one could have a lot of cations produced from a gas in a single plane contained in a 1 square foot area (like a fence around sheep). This plane of cations is over another one that is on the ground. So basically two layers of Cations in a tall hollow cube like...
does anyone know how to do this question. it feels like there's a part of the question missing as i don't know how to complete the equation
The pressure of a fixed mass of gas in a sealed sphere is measured to be 1.02 x 10^5 Pa at a temperature of 253K. Assuming the volume of the sphere doesn't...
Homework Statement
10 liters of air at atmospheric pressure and temperature 3000K were isothermally compressed to a volume of 2[liter] and then freely expanded adiabatically to their original volume. what's the final temperature.
Homework Equations
Adiabatic process...
I want to calculate the change of state for N2 and dry air at pressures above 200 bar with a max of 300 bar. Ideal gas law is not applicable at these pressures, but looking at real gas models there are several to choose from, among others:
Van der Waals
Redlich-Kwong
Virial
Bender
Can someone...
Can someone explain me why we could put pi, μi and μiο in
this equation:
and we get this:
(this is The chemical potential of a component in a perfect mixture of ideal gases wher pi is
partial pressure)
In solving the Navier Stokes equation, the typical boundary condition imposed on the tangential velocity at a solid surface is that of no-slip. However, it is known that for gaseous flow there always exists a non-zero velocity near the wall, especially at relatively big Knudsen number.
Is there...
Homework Statement
Into a 56[liter] container oxigen is filled in with manometric pressure of 4[atm] and temp' 470C. what is the mass.
Then a leak happens and the pressure drops to 3.5[atm] and temp' 270C.
How much oxigen escaped.
Homework Equations
$$PV=nRT$$
$$R\left[\frac{liter\cdot...
So I have been thinking about the photon gas, and I have read several papers talking about how a Carnot cycle could be created for it. This is fantastic, and it is something I am quite comfortable with. All of the papers present the P-V diagram as the "golden" Carnot cycle for the photon gas...