Homework Statement
The density of helium gas at T= 0 degrees Celsius is 0.179 kg/m^3. The temperature is then raised to 100 degrees Celsius, but pressure is kept constant Assuming the helium gas is an ideal gas, calculate the new density of the gas.
Homework Equations
PV = nRT...
Homework Statement
The is a piston the is massless and moves with friction
A) assuming that out gas is ideal, we will get v = constant T. What are your variables in this case?
B) If you plot V vs T on a graph, what is the slop of your graph?
C) What is the number of moles for this gas?
D)...
Homework Statement
Dust particles are approximately 11.0 micrometers in diameter. They are pulverized rock, with density 2500 kg/m^3. If you treat dust as an ideal gas, what is the rms speed of a dust particle at 23.0 degrees C?
Homework Equations
I have no idea.
The only one I would...
Homework Statement
At point D: P=2atm, T=360K, n=2mol
At point B: V=3VD, P=2Pc
Paths AB and CD represent isothermal processes
The gas is carried through a complete cycle along the path DABCD. Determine the total amount of work done by the gas.
Homework Equations
PV=nRT...
Homework Statement
A monatomic ideal gas expands from 1.00 meters cubed to 2.50 meters cubed at a constant pressure of 2.00 x 10^5 Pa. Find the change in the internal energy of the gas.
Homework Equations
\DeltaU = Q + W
The Attempt at a Solution
Well, I know how to find work...
Homework Statement
Consider an ideal gas whose volume is initially V_0=1cm^3 that is initially at P_0=1 atmosphere. It goes through a cycle a-b-c-a where b-c is at constant temperature.
1)According to the sketch, does the system absorb or release heat?
2)Calculate the heat exchange in a...
As stated in the question: I have PV(T) [J/kg] vs P [Pa] plotted for 2 different temperatures. I'm to approximate the the temperatures using the lines and the ideal gas law. Note: V is the specific volume. I have no clue how to do this:
I know that PV vs P is just as if I had nRT vs P. From...
Homework Statement
What is the average distance between neighboring molecules if N2 molecule is assumed to be spherical?(Average volume available to a molecule of N2 gas at NTP
is 3.72*10^-20 cm^3,which has been calculated by dividing 22.4 litres by Avogadro's number)
Homework Equations...
Homework Statement
An ideal gas originally at temperature T1 and pressure P1 is compressed reversibly against a piston to a volume equal to one half its original volume. The temperature of the gas is varied during the compression so that at each instant the relation P=AV is satisfied...
Homework Statement
A welder fills a tank, volume 7.60 x 10^-2 m^3, with oxgyen (32.0 g/mol) at gauge pressure 3.25 x 10^5 Pa and temp. 36.0 degrees C. The tank has a small leak, and some of the oxygen leaks. When temp. is 22.4 degrees C, pressure of oxygen in tank is 1.80 x 10^5 Pa.
Find...
I know that the work done on the system in any free expansion is 0 since the external pressure is 0. However.. is q necessarily 0? Does the temperature necessarily stay constant for an ideal gas?
I've been trying to justify the reasons for which q is necessarily 0, but I can't find a...
Homework Statement
Consider a well-insulated horizontal rigid cylinder that is divided into two compartments by a piston that is free to move but does not allow gas to leak into the other side. Initially, one side of the piston contains 1 cubic meter of Nitrogen (N2) at 500 kPa and 80 degrees...
The pressure , volume , number of moles , and Kelvin temperature 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 expansion occurs at constant...
Homework Statement
CxHy gets burned in oxygen gas and makes CO2 and water. Given the partial pressure of water and the total pressure of the resulting mixture I need to find the empirical formula.
Homework Equations
Well PV=nRT is the obvious choice...but all the information you see...
A welder using a tank of volume 7.70×10^−2m^3 fills it with oxygen (with a molar mass of 32.0 ) at a gauge pressure of 3.30×10^5 Pa and temperature of 35.0 C. The tank has a small leak, and in time some of the oxygen leaks out. On a day when the temperature is 23.9 C, the gauge pressure of the...
The answer key says the answer is 0.3(0.082)(298)/4, using PV = nRT. (0.3 being the number of moles of gas after the reaction.)
But according to the coefficients in the reaction, I thought since there are 0.2 moles of SO2 there should also be 0.2 moles of SO3.
Is it a typo or am I wrong...
The compressibility ratio of a gas is PV/nRT. What happen to the compressibility ratio if the attration force between the gas molecules increase? The answer says it decreases because the more molecules interact with each other, so the pressure they exert on the container decreases, thus...
Homework Statement
An air bubble of volume 1cm^3 is located at a depth of 50m beneath the surface where the temperature is 17C. When the bubble goes up to the surface where the temperature is 27C, how much will its volume be? Take the atmospheric pressure to be 1atm. Assume the pressure...
Homework Statement
A house has a volume of 770 m^3. (a) what is the total mas of air inside the house at 20 Celsius? (b) If the temperature drops to -10 Celsius, what mass of air enters or leaves te house?
Homework Equations
PV = nRT
The Attempt at a Solution
I found the solution...
Two glass bulbs of equal volume are joined by a narrow tube and are filled with gas at s.t.p. (standard temperature and pressure where \theta = {0^ \circ }{\rm{C}} and p = 1.01 \times {10^5} Pa). When one bulb is kept in melting ice and the other is placed in hot bath, the new pressure is 1.166...
Homework Statement Show that the entropy of one mole of an ideal gas is given by \Delta S = \int \frac{C_v dT+PdV}{T}.
2. The attempt at a solution
\Delta S= \frac{dQ}{T}. From the 1st of Thermodynamics, \Delta U= \Delta Q - \Delta W, where W is the work done by the gas. Hence \Delta Q =...
Homework Statement
Hi, this question is from Fundamentals of Physics 8th Edition:
Figure 20-27 shows a reversible cycle through which 1.00 mole of a monatomic ideal gas is taken. Process bc is an adiabatic expansion, with pb = 5.20 atm and Vb = 4.80 x 10-3 m3. For the cycle, find (a) the...
Homework Statement
i need to derive the ideal gas law
Homework Equations
this is the equation to end with.
PV=NkT
The Attempt at a Solution
I am not entirely sure where to start with this derivation. I believe Newton laws.
where your going to have Fx= Px/t
anyone...
Homework Statement
A model Stirling engine uses n = 8.04 × 10–3 mol of gas (assumed to be ideal) as a working substance. It operates between a high temperature reservoir at TH = 98.0 °C and a low temperature reservoir at Tc = 25.0 °C. The volume of its working substance doubles during each...
Uncle Sam claims that he invented a black-box device which operates at steady state, and has two inlet streams and one outlet stream as shown in the figure below. Inlet 1 allows air to enter at a pressure of 200 kPa, temperature of -50 oC, and mass flow rate of 30 kg/min. Inlet 2 allows air in...
1. Homework Statement
T1=300K
P1=100kPa
V1=1m^3
T1=T2=T3
P2=P3=200kPa
V3=0.1m^3
Q: Air initially at 300kpa is contained inside a piston-cylinder device with a volume of 1m^3. The cylinder is equiped with a check valve allowing air to escape when the air pressure reaches 200kPa. An...
Homework Statement
We have 1m3 of Ar gas M=39.948g/mol, pressure=101300Pa, temperature T=298K. We put the energy Q=1000J in that gas. Whats the temperature after we put 103J. (c=0.5203x103)
Homework Equations
Im not interested in solution. I tried to solve it on two ways using formula...
Homework Statement
Determine the number density of particles in a gas at STP (T=273, p=1atm)
Homework Equations
Answer is 2.68x1025
The Attempt at a Solution
pV=nRT
I don't really understand what the "number density of particles" means please help!
Homework Statement
A cylinder contains 2 moles of an ideal monatomic gas that is initially at state A with a volume of 1.0 x 10-2 m3 and a pressure of 4.0 x 105 Pa.
The gas is brought isobarically to state B. where the volume is 2.0 x 10-2 m3.
The gas is then brought at constant volume...
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...
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...
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...
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...