The gas laws were developed at the end of the 18th century, when scientists began to realize that relationships between pressure, volume and temperature of a sample of gas could be obtained which would hold to approximation for all gases.
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
If 562L of a gas is prepared at 700 torr and 213 degrees C, and it is then pumped into a 25.3L tank at 35 degrees C, what pressure will the tank have to withstand?
Homework Equations
\frac{V_{1}*P_{1}}{T_{1}}=\frac{V_{2}*P_{2}}{T_{2}}
Becomes...
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...
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
1) Liquid helium at 4.2 K has a density of 0.147 g/mL. Suppose that a 2.50-L metal bottle that contains air at 105K and 2.0 atm pressure is sealed off. If we inject 100.0 mL of liquid helium and allow the entire system to warm to room temperature (25 °C), what is the...
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
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...
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...
Hi
I have a fixed volume container which holds gas under pressure in a part liquid/part vapour form at normal temperatures.
If I add additional vapour to the container it should condense to increase the liquid level, however the vapour pressure should remain the same.
Would this cause...
Homework Statement
The closed cylinder in the figure has a tight-fitting but frictionless piston of mass M. The piston is in equilibrium when the left chamber has pressure p0 and length L0 while the spring on the right is compressed by delta L. The spring constant of the spring is k...
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
Containers A and B hold the same gas. The volume of B is four times the volume of A. The two containers are connected by a thin tube (negligible volume) and a valve that is closed. The gas in A is at 300 K and pressure 1.0 * 10^ Pa. The gas in B is at 400 K and 5.0 * 10^5...
Is this correct? -- Gas Law Question
Homework Statement
The cylinder in the figure has a moveable piston attached to a spring. The cylinder's cross sectional area is 10 cm^2 and it contains .005 mol of gas. The spring constant is 1500 N/m. At 16 degrees Celsius, the spring is neither...
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...
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...
[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
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...
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...
I'm a bit confused about the cgl.
If I pump 3 liters of air into a 3 liter cylinder already filled with 3 liters of air, what will be the temperature rise? Assuming an initial temperature of 300'K. It seems like from practice, the temperature goes up. Is the temperature rise due strictly to the...
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 --> 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...
Suppose Gabor, a scuba diver, is at a depth of 15 m. Assume that:
1. The air pressure in his air tract is the same as the net water pressure at this depth. This prevents water from coming in through his nose.
2. The temperature of the air is constant (body temperature).
3. The air acts...
[SOLVED] ideal gas law numerically
If I calculate the pressure of water vapor at stp (in mmHg),
P= 1000*7.502e-3*R*(0+273)*.804/18;
where the 7.502e-3 factor converts from Pa to mmHg, 1000 is because my density (.804) is in grams/cm^3, 18 is the molar mass of water, etc etc. and this comes out...
Homework Statement
A gas at 293.15 degrees kelvin and atmospheric pressure is compressed to a volume one fifteenth as large as its original volume and absolute pressure of 3000kPa. What is the new temperature of the gas?
Homework Equations
p1v1/t1=p2v2/t2
The Attempt at a Solution...
Homework Statement
A pop-up turkey thermometer has 1.0 mL of air trapped beneath the red plastic indicator. When the thermometer was assembled, the temperature was 10 *C, and atmosphereic pressure was 750 mmHg. If the pressure required to break the seal and pop up the syringe is 932 mm Hg, at...
Homework Statement
Acetylene torches are used for welding. These torches use a mixture of acetylene gas, C_2H_2, and oxygen gas, O_2 to produce the following combustion reaction:
2C_2H_2(g) + 5O_2(g) --> 4CO_2(g) + 2H_2O(g)
Imagine that you have a 6.50 L gas tank and a 4.50 L gas...
Homework Statement
In general, which of the following gases would you expect to behave the most ideally?
a) N_2
b) CO
c) H_2
Homework Equations
N/A
The Attempt at a Solution
Okay, so I know that CO would definitely not behave the most ideally. I tried looking this up on the...
Homework Statement
I need to find the volume for 1 kg of diatomic oxygen for a pressure of 150,000 Pa and a temperature of 100K. This is really part of a larger project, and I need to make sure I'm not tripping up on little details. It's that 1 kg of diatomic oxygen that I am a bit unsure...
This is much longer than the normal post, so please bear with me.
I was wondering if anyone here knows the complete derivation of Ideal Gas Law (or can recommend a book that describes it clearly and fully), who can tell me whether its conclusions are valid for any shape of gas particle, and...
Problem with ideal gas law and a spring! Help please!
Homework Statement
We have a box divided in two parts by a piston without friction, and in one part there are n moles of an ideal gas and a Spring orf constant K and natural longitude L which keeps the piston in equilibrium. According to...
Recently on forum we have several topics about the ideal gas law which involve the high and low pressure. Now I wonder if this law can be applied at rather high temperatures, let say 1000-1200 K, but the pressure is just ambient.
Thank you for reading the question.
THL
im studying building systems engineering technology. yeh i know it's only a technology program at the cegep level but when I'm done with it, I'm going to do software engineering in university. anyways I'm having trouble to understand two problems in the book. if anyone can help me with this, it...
Hi every body,
We are taught in school that the gas law : pv=nRT can not be applied at high pressure, say a hundred atm. Now I just think of the fact that can we use that equation at very low pressure? Several mTorr for example.
Thanks
1. A rigid tank contains .5 kmol of Ar and 2kmol of N2 at 250 kPa and 280 K. The mixture is now heated to 400 K. Determine the volume of the tank and the final pressure of the mixture.
2. PV=NRT
Can you find the initial volume by using PV=NRT?
V=NRT/P
V=(2.5)(8.314)(280)/250=23.2...
Homework Statement
A cylinder has its lid connected to a spring with k = 2000 N/m. The cylinder is filled with 5.00 L of gas witht he spring relaxed at a pressure of 1.00 atm and a temperature of 20.0C. (a) If the lid has a cross-sectional area of 0.0100 m2 and negligible mass, how high will...
Homework Statement
A chemist studying the rxns of pollutant SO2 places a mixture of SO2 and O2 in a 2.0L container at 900K and an P[init]=1.95 atm. When rxn occurs, gaseous SO3 forms and P falls to 1.65 atm. How many moles of SO3 formed?Homework Equations
PV=nRT but I'm not sure what else...The...
Hi everyone ^^! I hope you had a great holiday season. I have a homework problem that I'm a little confused on. I will provide my answers/work as usual, and would like it if someone could check my work, or tell me if an explanation is wrong/needs more information. My teacher would like us to be...
Ideal Gas Law Problem :)
Homework Statement
A balloon is filled with helium at a pressure of 1.0 x 10^5 Pa. The balloon is at a temperature of 23°C and has a radius of 0.13 m.
(a) How many helium atoms are contained in the balloon?
(b) Suppose we increase the number of helium atoms in...
The question given were:
The tire pressure for a car that has not been driven is 2.0atm when sitting outside at 14 degrees celsius. After the car was on the highway the temperature of the tire increased even though the air temperature remained at 14 degrees celsius. The tire pressure...