What is Gas law: Definition and 275 Discussions

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.

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  1. T

    Gas Law Calculation: Pressure Effects of Temp from 17-22C

    [Moderator's note: Recategorized thread to "Basic".] I'm having an issue at work that I think may be down to temperature. I have a sealed chamber that is 1m X 1m X 1.5m. The chamber has to be pressure tested but the results are all over the show. The only variable is temperature. So my...
  2. 0

    Ideal Gas Law Equilibrium Requirements

    It is well known that the ideal gas law applies only to an ideal gas, one consisting of particles infinitesimal in size and exhibits no interactions between the particles. Considering an ideal gas, is the ideal gas law valid under non-equilibrium conditions? For example, does the ideal gas law...
  3. @PinkGeology

    Ideal gas law: can you use it to find P during exsolution?

    If you shake up a bottle of soda and it gets slightly larger because the disturbed gas in solution is trying to expand but cannot, could you use the difference in (THE SMALL AMOUNT THE BOTTLE ACTUALLY SWELLED) and the (POTENTIAL AMOUNT THE GAS WOULD SWELL IF NOT CONTAINED) to determine the...
  4. goonking

    Ideal gas law in terms of density

    Homework Statement Homework Equations PV=nRT The Attempt at a Solution not sure if this is the right approach plugging into -ρg gives us -PMg/RT = dP/dy now we have to integrate both sides to find P?
  5. CheesyPeeps

    Solve Combined Gas Law: National 5 Physics Exam Help

    I am studying National 5 physics, and my exam is tomorrow. I need some last-minute help. I'm struggling a little bit with the combined gas law, P1V1/T1 = P2V2/T2, and I'm not sure why. It would help me a lot if you could show step-by-step how the formula is used. Thanks for your time, it's very...
  6. B

    Explaining Brownian Motion & Gas Laws: Homework Solutions in 65 chars or less

    Homework Statement Can someone confirm if I answered correctly? Thanks for support and help! a) In the Brownian motion experiment, small particles of matter are seen moving randomly. Give an explanation for this motion. b) Boyle's Law is fundamental when discussing the gas laws. i) State...
  7. E

    Ideal Gas Law - Adding additional gas & additional question

    Hello, I know this has been fairly discussed to death, but I've had relative trouble finding a response that specifically addresses the n, in PV= nRT, the ideal gas law. Out of relatively common sense, by adding additional moles of gas, the pressure in the gas should increase as there are more...
  8. A

    How to find atomicity of solid elements as can't apply the gas law

    we can use avogadro's law and gay lussacs law to find atomicity of gases but what about solid elements
  9. A

    Question about Ideal gas law and its application

    Homework Statement Estimate partial pressure of nitrogen in atm in a room where you are at this moment. Use an ideal gas approximation and assume that air is composed of only nitrogen and oxygen. Show how you arrive the final answer in detail. Homework Equations pv=RT, while p stands for...
  10. E

    How Is Time Factored Into the Derivation of the Ideal Gas Law?

    Here is a screenshot from a page from a textbook that explains how to derive the ideal gas law: In the third bold line, I don't understand how "time" in force = (change of momentum)/(time) is equal to 2x/u (the time it takes for the particle to travel to the opposite face and back again) -- I...
  11. A

    Applying the ideal gas law in the Earth's atmosphere

    Hi there, I'm considering how the ideal gas law applies in practice in our planet's atmosphere. In particular, I'm considering this form of the law: P = ρRT (1) where P is pressure, ρ is density, R is the gas constant and T is the temperature. I also know that, to a good approximation, the...
  12. HelloCthulhu

    Electrolysis System Work and Real Gas Law

    Greetings Everyone! I read a very good thread regarding how Ideal Gas Law is used to calculate system work for the electrolysis of water: W = PΔV = (101.3 x 103 Pa)(1.5 moles)(-22.4 x 10-3 m3/mol)(298K/273K) = -3715 J https://www.physicsforums.com/threads/work-of-electrolysis-of-water.756240/...
  13. J

    Calculating Volume of Escaped Air Bubble Using Ideal Gas Law | Homework Question

    Homework Statement An air bubble of volume 3.0x10-5m3 escapes from a divers equipment at a depth of 45m where the water temperatures is 5 degrees C. What is its volume as it reaches the surface, where the temperature is 12 degrees C? Atmospheric pressure = 101kPa, density of sea water =...
  14. Z

    Ideal gas law combined with vapor pressure

    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...
  15. T

    Ideal Gas Law Problem: Finding Pressure with Temperature Change and Fixed Mass

    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...
  16. J

    Solve a Gas Law Problem: Find T in °C

    Homework Statement If 1.15 moles of an ideal gas has a pressure of 3.60 atm, and a volume of 81.37 L, what is the temperature of the sample in degrees Celsius? Homework Equations PV=nRT p = pressure v = volume n = number of moles r = 0.08206 L atm/(mol K) T = ? The Attempt at a Solution So I...
  17. P

    Deriving the Combined Gas Law

    How does one derive the combined gas law rigorously from Boyle's Law, Charle's Law and Gay-Lussac's law? I started out as follows (I will be using ##P## for pressure, ##T## for absolute temperature, and ##V## for volume - for constants I will use subscripts to denote the parameter on which the...
  18. K

    How Much Magnesium is Needed for 40 mL of Hydrogen Gas Production?

    Homework Statement Determine how many grams of Mg must react with HCl in order to produce 40 mL of hydrogen gas at 22 degrees Celsius and 1.02 bar. Also, If the Mg ribbon weighs 0.836 mg/mm, how many mm of the ribbon will you require? Homework Equations PV=nRT Mg(s) + 2HCl(aq) -->...
  19. I

    Experiment on piston cylinder, issues with Ideal gas law

    Hello everyone, I have an rather large piston-cylinder containing gas that is compressed when the piston extends. Using three sensors I am measuring the pressure, temperature and volume of the gas while I force the piston out using a winch. The system is closed and no gas is released or added...
  20. D

    How to Calculate Temperature Change in Ideal Gas Law Problem for One Mole?

    Homework Statement for one mole of an ideal gas this relation holds good P= P0 /{1+(V0/V)^2}, where P0and V0 are constants, what will be its change in temperature in terms of P0,V0 and R, if volume is doubled? Homework Equations for one mole of ideal gas we know PV=RT Then...
  21. J

    Ideal Gas Law solve for partial pressure

    1. Gaseous compound Q contains only xenon and oxygen. When 0.100 g of Q is placed in a 50.0 mL steel vessel at 0 °C, the pressure is 0.229 atm. When the vessel and its contents are warmed to 100 °C, Q decomposes into its constituent elements. What is the total pressure, and what are the partial...
  22. T

    Cylinder submerged in salt water (Ideal gas law, pressure)

    Homework Statement 5. A large cylinder with a diameter of 3.00 m and a height of 3.50 m is closed at the upper end and open at the lower end. It is lowered from air into sea water with the air initially at 20.0°C and then to a depth of 75.0 m. At this depth the water temperature is 4.0°C, and...
  23. B

    How Does Compressing an Ideal Gas Affect Its Temperature?

    Homework Statement A cylinder fitted with a movable piston contains ideal gas at 27C, pressure .5 x 10^5 Pa, and volume 1.25 m^3. What will be the final temperature if the gas is compressed to .8 m^3 and the pressure rises to .82 x 10^5 Pa. A) 125 C B) 154 C C) 246 C D) 67.7 C E) 41.8...
  24. B

    What is the temperature of the freezer based on the Ideal Gas Law?

    Homework Statement Here is the problem: You are worried that your -80C freezer is on the fritz. Unfortunately you do not have a thermometer. You do have a balloon. so, you blow up the balloon and measure that it has a diameter of 10cm when at 25C. you put it in the freezer, let it come to...
  25. G

    The ideal gas law for an adiabatic process

    Homework Statement Hi can someone please have a look at this question and let me know if I am on the right track, thanks. A diesel engine requires no spark plug; instead the air in the cylinder is compresses so highly the fuel ignites spontaneously on injection to the cylinder. Q. If the air...
  26. C

    Ideal gas law and thermodyanimic processes

    Homework Statement An ideal gas is enclosed in a cylinder with a movable piston at the top. The walls of the cylinder are insulated, so no heat can enter or exit. The gas initially occupies volume V1 and has pressure p1 and temperature T1. The piston is then moved very rapidly to a volume of...
  27. A

    How Much Helium Can a 11m Diameter Balloon Hold and What Can It Lift?

    A spherical helium balloon 11 m in diameter is at ambient temperature and pressure, 15 degrees Celsius and 100 kPa. How much helium does it contain? It can list a total mass of balanced atmospheric air. How much mass of the balloon fabric & cage can then be lifted? Here is my work but I'm...
  28. R

    What is the relationship between temperature and pressure in gas laws?

    Hi all...! Gas laws. Sorry about the simplicity of the question, but that should make it easy :) I have two rigid containers open to air. One is 10 times the volume of the other. I cap each. I increase the temperature of each, 50 degrees. What can I say about the pressure inside the...
  29. M

    Deriving Ideal Gas Law through partition function

    Homework Statement The pressure of a non-interacting, indistinguishable system of N particles can be derived from the canonical partition function P = k_BT\frac{∂lnQ}{∂V} Verify that this equation reduces to the ideal gas law. The Attempt at a Solution I have a very poor...
  30. Night-san

    Ideal Gas Law: messing with ratios

    Homework Statement Air is pumped into a bicycle tire. The 43 moles of air initially in the tire have a gauge pressure of 1 atm. How many moles of air must be pumped into the tire in order to raise the gauge pressure to 5 atm? Assume that the volume and temperature of the air inside the tire...
  31. Q

    How Does the Ideal Gas Law Apply to Chemical Reactions?

    Homework Statement 1. When the following reaction proceeds, what will be true? 2A(g) + 3B(g) -> 4C(g) (1) The temperature will increase at constant P and V. (2) The volume will increase at constant T and P. (3) The pressure will increase at constant T and V. (4) The density will...
  32. A

    MHB Ideal Gas Law: Pressure, Volume, & Temperature Changes

    The ideal gas law states that PV = nRT where P is the pressure in atmospheres, V is the volume in litres, n is the number of moles, R = 8.314 Latm/Kmol is the gas constant, and T is the temperature in Kelvins. Suppose that at a specific instance that two moles of gas is under 5 atmospheres of...
  33. S

    Is the Ideal Gas Law Applicable to Non-Isothermal Processes? | Homework Question

    Homework Statement Is the ideal gas law, PV = mRT, only applicable to processes which are carried out isothermally? I mean, can it not be applied to a polytropic process, PVn = k.Homework Equations See above.The Attempt at a Solution N.A.
  34. R

    How Many Moles of NO2 and SO2 Are in the Mixture?

    Homework Statement A sample containing only NO2 and SO2 has a total pressure of 120 torr. Measurements show that the partial pressure of NO2 is 43 torr. If the vessel has a volume of 800.0 ml and the temperature is 22.0°C, how many moles of each gas are present?Homework Equations PV = nRT The...
  35. T

    Thermodynamics perfect gas law

    Homework Statement Air inside a sealed tin can is initially at a pressure of 200 kPa and temperature of 20 ◦C. The tin can is known to burst at a pressure of 500 kPa. If the pressure is raised through heating, at what temperature will it burst? If you used an air compressor to pump up the...
  36. A

    Multi-Species Ideal Gas Law and Mean Molecular Mass

    Hi forums. I have what I think is a simple question but I'm making myself confused. I'm trying to work out the relationship between energy density ( u = energy per unit volume ) and temperature in a multi-species ideal gas (no molecules just different mass ions). The simplest example of...
  37. H

    Derivation of ideal gas law by Hamiltonian mechanics

    Hi! I am trying to understand the statistical mechanics derivation of the ideal gas law shown at: http://en.wikipedia.org/wiki/Ideal_gas_law inder "Derivations". First of all, the statement "Then the time average momentum of the particle is: \langle \mathbf{q} \cdot \mathbf{F} \rangle=...
  38. marellasunny

    Equilibrium reaction ICE method to ideal gas law

    QUESTION: Say I have the following equilibrium reaction CO+\frac{1}{2}O_2\leftrightharpoons CO_2 The stoichiometric mixture of CO and $O_2$ in a closed vessel, initially at 1 atm and 300K, is exploded. Calculate the composition of the products of combustion at 2500K and the gas pressure. Take...
  39. S

    Gas Law Q&A: Pressure & Volume Changes w/ Decreasing T & n

    After watching this video at the end when he gave the example of PV=nRT and he explained that T and n decreases he went on to explain P and V. Prior to this I would have thought that the ideal gas equation required all but one unknown variable to check if the unknown variable has either...
  40. K

    Using the ideal gas law with two unknowns

    Homework Statement You are given a closed container containing a single atom ideal gas. The volume is V1= 0,45*10^(-3) m^3 Pressure p1 is 3,2 MPa Temperature, T1, is 892 K The volume of the gas is increased to V2= 8*V1 Find the pressure and temperature after the increase of volume...
  41. A

    MHB What is the Relationship Between Pressure and Volume in the Ideal Gas Law?

    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...
  42. D

    Ideal gas law mechanical work problem

    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...
  43. G

    Help with partial gas law problem

    Homework Statement A 32.0 mL sample of hydrogen is collected over water at 20°C and 750.0 torr pressure. What is the volume of the dry gas at STP? (vapor pressure of water at 20°C = 17.5 torr) Homework Equations Ptot = Pdry + Pwet P1V1/T1 = P2V2/T2 The Attempt at a Solution...
  44. V

    How Does Temperature and Pressure Affect Balloon Volume?

    A balloon is filled up with air to a volume of 1.15 L at 296.5 K.* What does the volume change to if the balloon is taken outdoors where the temperature is 278.4 K and the pressure is half of what it was indoors? V2 = (P1V1T2) / (T1P2) How do I find the initial pressure at 296.5 K if I...
  45. F

    Idea gas law applied to throttling process

    Hi all. I'm trying to become acquainted with thermal dynamics. I thought I had a fairly good handle on the idea gas law, PV=nRT, or PV=mRT, but I came across a problem involving the throttling of an idea gas, and the solution was totally not what I expected. Referring to picture where gas...
  46. K

    Understanding Moles From Ideal Gas Law

    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...
  47. S

    How Does Compression Affect Temperature in Ideal Gas Laws?

    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...
  48. D

    Surface Area/Pressure/Ideal Gas Law

    How does surface area affect pressure, since pressure is defined by \frac{Force}{Area}, and specifically how does this work with the Ideal Gas Law (PV = nRT)? I would think that surface area and pressure have an inverse relationship, as to pressure and volume. But what if you had gas-filled...
  49. T

    Using Ideal Gas Law and Charles Law to compute limit

    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...
  50. A

    Q) What is the final temperature of the compressed air in degrees Celsius?

    [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...
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