Ideal gas Definition and 823 Threads

  1. M

    How Does Constant Pressure Affect the Final RMS Speed of an Ideal Gas?

    Homework Statement An ideal gas is kept in a container of constant volume. The pressure of the gas is also kept constant. If the initial rms speed is 1800 m/s, what is the final rms speed? Homework Equations v(rms)=square root of [v(avg)]^2=square root of (3kT)/m The Attempt at a...
  2. M

    Calculating Heat Added/Removed to Ideal Gas System

    Homework Statement A monatomic, ideal gas is in a sealed container (the number of gas molecules is always constant: n = 2 moles); the initial pressure is Pi = 1.01 x 10^5 Pa and the initial volume is Vi = 0.0224 m^3. * First, the volume of the gas is decreased at a constant pressure (at...
  3. A

    Ideal gas in a cylinder closed by a piston connected to a spring

    A cylinder is closed by a piston connected to a spring of constant 2.00 X 10^3 N/m. With the spring relaxed, the cylinder is filled with 5.00L of gas at a pressure of 1.00 atm and a temperature of 20.0ºC. A) If the piston has a cross-sectional area of 0.0100 m^2 and neglible mass, how high will...
  4. B

    Ideal Gas Law Question: Solving for Volume at Surface

    Here's an ideal gas law question: A scuba diver is 32 m below the surface of a lake, where the temperature is 5°C. He releases an air bubble with a volume of 12 cm^3. The bubble rises to the surface, where the temperature is 25°C. What is the volume of the bubble right before it breaks the...
  5. M

    Ideal Gas Law Lab: Finding R with PV = nRT

    For the first part of my lab, I have a graph with pressure(atm) as a function of temperature(K). For the second part of my lab, I have a graph with pressure(atm) as a function of inverse volume(mL^-1) For both of these, i am supposed to find the value for R, the gas constant. So far far...
  6. C

    Finding Final Temperature of Ideal Gas from P vs V Graph

    Given a graph of P vs V of a monatomic ideal gas, how can we find the final temperature when the inital temperature is given ? Thx~
  7. C

    How Does Changing Pressure and Temperature Affect Gas Volume?

    Problem: An oxygen sample of 1.62 L is at 92.3 kPa and 30.0 degrees celsius. (a) What volume would the oxygen occupy if the pressure was 120.0 kPa and the temperature was 0.0 degrees celsius. (b) How many moles of oxygen are in the sample? My Approach: Conversions: 0 degrees celsius...
  8. L

    Derive the entropy of an ideal gas

    THe Question asks 'Derive the entropy of an ideal gas when its molar specific heat at constant volume is constant.' So I've taken \Delta S = \int_{S_0}^{S} dS = \int_{T_0}^{T} \frac{\partial_S} {\partial_V} dT + \int_{V_0}^{V} \frac{\partial_S}{\partial_V} dV in this context what...
  9. B

    Solve Ideal Gas Law Problem: 1.2L Bottle of SO2 at 78PSI, 23°C

    In preparation for a demonstration, your professor brings a 1.2 L bottle of sulfur dioxide into the lecture hall before class to allow the gas to reach room temperature. If the pressure gauge reads 78 psi and the lecture hall is 23°C, how many moles of sulfur dioxide are in the bottle? (Hint...
  10. quasar987

    When to apply the ideal gas law PV=nRT

    Is the formula only applicable during quasi-static processes? In other words, is it only true for a gaz at equilibrium?
  11. Clausius2

    Ideal Gas: Equation Of State in Diatomic Gases: still valid?

    That came out in my qualifying exam. The question was if a gas with rotational and vibrational energies enhanced, does obey the Ideal Gas Equation PV=NKT. You can answer with all the tools you have at hand. My comitee member didn't agree with me, but anyway I persisted in my answer and I...
  12. L

    Ideal Gas Cycle: N2 Undergoing abcd w/ Varying Pressures

    Two moles of N2 gas undergo the cycle abcd. The pressure of the gas in each state is pa = pd = 5500 Pa; pb = pc = 1500 Pa. Note that 5500 Pa > 1500 Pa. The volume of the gas in each state is Va = Vb = 1.80m^3 ; Vc = Vd = 8.70m^3. Note that 8.70 m^3 > 1.80 m^3. The gas may be...
  13. P

    Difference between an ideal gas and a real gas

    Hey Could somebody please explain what the difference between an ideal gas and a real gas are? Or post a suitable link from which I can understand the concept surrounding this issue. Thanks Pavadrin
  14. Amith2006

    Ideal gas behaviour at high pressures

    Sir, An experiment is carried on a fixed amount of gas at different temperatures and at high pressure such that it deviates from the ideal gas behaviour. The variation of PV/RT with P is shown in the following diagram. Is it right? Suppose a graph is plotted between PV/RT and T. At high...
  15. Amith2006

    Ideal gas equation and heat problem

    Sir, An ideal gas is taken from state 1 to state 2. How does the volume change? The P-T diagram is as shown. I solved it in the following way: From the diagram it is clear that P/T is a constant. From ideal gas equation, PV = nRT...
  16. Amith2006

    Ideal gas undergoing cycle change - find temperature

    Sir, One mole of an ideal gas undergoes a cycle change as shown in figure. The process A-B is isothermal. The pressure and volume at A is 1.1 x 10^5 N/m^2 and 22.4 litres respectively. What is the temperature of the gas at C? If the temperature at one point was given the temperature at...
  17. N

    Calculating Oxygen Usage from Ideal Gas Characteristics

    A standard cylinder of oxygen used in a hospital has the following characteristics at room temperature (295 K): gauge pressure = 13,800 kPa (2000 psi), volume = 16 L (0.016 m^3). How long will the cylinder last if the flow rate, measured at atmospheric pressure, is constant at 2.4 liters/min...
  18. V

    Ideal gas pressure to net force

    So I know the volume of a hot air balloon and the temperatures of the air (ideal gas) inside the balloon and outside of it. I know the pressure of the air. And I need to find the Net force on the balloon and contents but neglecting the weight of the balloon itself. I thinkthere must be some way...
  19. W

    How to Find Work Done by an Ideal Gas with Given Conditions?

    For example there is change state on an ideal gas. The temperature of states are X and Y. The change on X and Y is a change of constant pressure but increasing in volume. Let the quantity of the ideal gas be 1[mol], and let R[J/mol*K] denote the gas constant. Find the work which the gas did on...
  20. W

    Understanding the Ideal Gas Law: State Changes and Work Calculation | Geocities

    The diagram below shows state changes of an ideal gas. The temperature of states (1), (2), (3) are T_1[K], T_2[K] and T_3[K] respectively. The state change from (1) to (2) is an adiabatic change (not an isothermal change). The state change from (2) to (3) is a change at constant pressure...
  21. K

    Question about the ideal gas law

    Hi, I have a question about the ideal gas law. I have been under the impression that if volume goes down then pressure and temperature go up. But, if you look at the equation T=PV/nR, it seems that if volume, say, doubles, pressure will be halved and vice-versa. While that makes sense, it...
  22. A

    What is the relationship between bulk modulus and pressure in an ideal gas?

    The questions is that The equation of state (the equation relating pressure, volume, and temperature) for an ideal gas is pV=nRT, where n and R are constants. a.) Show that if the gas is compressed while the temperature T is held constant, the bulk modulus is equal to the pressure. b.)...
  23. V

    Kinetic-Molecular Model of Ideal Gas: vrms/vav

    Hey, This should be a pretty simple problem to answer... I'm just a bit confused on this, and want to make sure I'm right. It's an easy problem: Molecules in a gas can only move in the x direction (i.e., v_{y}=v_{z}=0). You set up an experiment in which you measure the velocity of a few...
  24. Q

    Once more with feeling another ideal gas question.

    [SOLVED] once more with feeling! another ideal gas question. the pressure inside a sealed can which is kept in a deep freeze at -23C is 0.8x10^5 N/m^2. If the can is placed in water of temperature 27C: calculate the increase in pressure inside the can. initially, pressure/temperature =...
  25. L

    Finding Temperature Using Ideal Gas Law

    The pressure in a constant-volume gas thermometer is 7.09x10 to the fifth power Pa at 100.0 degrees celsius and 5.19 x 10 to the fourth power Pa at 0.0 degrees celsius. What is the temperature when the pressure is 4.05x10 to the third power Pa? now I've been told how to do this problem many...
  26. A

    What is the Tire Pressure After Temperature and Volume Changes?

    here's another one that stumped me An automobile tire is inflated with air originally at 10C and normal atmospheric pressure. During the process the air is compressed to 28% of its original volume and the temperature is increased to 40C. a) what is the tire pressure? b) after the car is...
  27. C

    Adiabatic Process for an Ideal Gas

    During the compression stroke of a certain gasoline engine, the pressure increases from 1.00 atm to 20.3 atm. Assume that the process is adiabatic and the gas is ideal with (gamma)= 1.40. (a) By what factor does the volume change? Vfinal = (ans)*Vinitial (b) By what factor does...
  28. M

    Temperature Variations of Ideal Gas in Gravitational Field

    Could somebody tell me, how temperature of an ideal gas varies on height in homogeneous gravitational field in equilibrium? I mean a gas column perfectly isolated from its environment.
  29. S

    What is the difference between Cp and Cv for an ideal gas?

    I'm just checking that it's okay to use Cv all the time as a heat capacity of an ideal gas, even when the volume's not constant. This is because the average energy per molecule is 3/2*Kb*T from kinetic theory, therefore the average energy per mole is equal to 3RT/2 = CvT etc. I'm currently...
  30. E

    Pressure and temperature changes adiabatically for an ideal gas?

    Question: An ideal gas, which is initially at a pressure of 4.05 atm and a temperature of 355 K is permitted to expand adiabatically to 1.51 times its initial volume. A. Find the final pressure if the gas is monatomic. I was thinking P_i \cdot V_i = P_f \cdot V_f. But, I made no use...
  31. G

    How to Find the Density of an Ideal Gas Around a Planet?

    Hi, I need to find the density \rho(r) of an ideal gas at constant temperature T surrouding a planet of mass M and radius R. The gas is attrated by the planet and is also self-attracting. First, I used the hydrostatic equilibirum equation...
  32. G

    Distribution function of an ideal gas

    Hi, I have the following problem to solve: Consider a planet of radius R and mass M. The plante's atmosphere is an ideal gas of N particles of mass m at temperature T. Find the equilibrium distribution function of the gas accounting for the gas itself and the gravitationnal potential of...
  33. V

    How Did Boyle and Avogadro Support the Disputed Ideal Gas Theory?

    How did the scientists like Boyle and Avagadro did experiments and still got results, which supported the ideal gas theory? It is actually wrong and still how did they get results that volume is inversely proportional to pressure while temperature directly to pressure. I think the only chance of...
  34. A

    Thermodynamics-using ideal gas table

    thermodynamics--using ideal gas table problem says: 6.25 employing the ideal gas model, determine the change in specific entropy between the indicated states, in kJ/kg K. Solve 2 ways: use the appropriate ideal gas table, and a constant specific heat from Table A-20. (a) air, p1 = 100...
  35. G

    Modified equation of state of an ideal gas

    I have this problem, it doesn't seem very complicated but I can't figure out how to do it. A gas obeys to the equation of state P(V-b) = Nk\zeta where k is the Boltzman's constant. The internal energy of the gas is a function of \zeta alone. Show that \zeta=T using a Carnot cycle. Any help...
  36. J

    Momentum and the pressure of an ideal gas. Easy Question.

    My book (Halliday, 6th ed: Section 20-4), uses the momentum of the individual molecules in a gas to derive the pressure of the gas. They imagine the molecules hitting a wall. I'm a little rusty on my memory of conservation of momentum, so this equation is confusing me a bit: (delta)px = (-mvx)...
  37. C

    How Do You Calculate Molar Masses from Diffusion Rates and Density?

    Hi, this is the question I'm having trouble with: A gas mixture is known to contain equal numbers of moles of two gases. The mixture has a density of 1.47g/L at 1.00 atm and 298K. In a diffusion experiment, one of the gases was found to diffuse 1.25 times faster than the other under the...
  38. P

    Do Path-Dependent Processes Affect Thermodynamic Quantities in Ideal Gases?

    An ideal gas changes state from P=32, V=1 to P=1 V=8 via three different paths: first pressure then volume, first volume then pressure, and adiabatically. I need to calculate the change in heat energy, work done by the system, and change in internal energy for all three paths. Will these be...
  39. B

    How Does Temperature Affect Piston Elevation in an Ideal Gas System?

    Hi I got the following physics problem: A cylinder closed by a piston contains 5,00 L of an ideal gass at a pressure of 1,00 amt at a temperature of 20,0 degrees celcius. The piston has a cross-centential area of 0,0100 m^2. The mass of the piston is neglible. The piston is...
  40. S

    How Does Doubling Volume and Increasing Temperature Affect Gas Pressure?

    An Ideal Gas occupies a Volume of 6.00 L at STP. What is its Gauge pressure (in kPa) if the Volume is doubled and the Temperature is increased to 50.0 Degrees Celcius. I don't know where to begine as the question doesn't have a starting Temp, just that it was increased to 50 Degrees Celcius...
  41. S

    Why Does My Ideal Gas Law Calculation Differ from the Textbook?

    hello all. I'm trying to figure out this problem and it's bugging me because it's soooo simple yet i keep getting the wrong answer. here's the problem: If 1.00 mol of carbon dioxide gas at 350 K is confined to a volume of 400 cubic centimeters, find the pressure of the gas using the...
  42. T

    Is the entropy change of the ideal gas equals zero?

    Hi all! I'm a bit puzzled about this question. Is the entropy change of the ideal gas equals zero? And for the second part, is it equal to "Q/T" where Q=200kJ and T=40+273? I'm not sure about how to handle it...please help.
  43. A

    Calculating Work Done by an Ideal Gas in a Three-Step Transformation

    A monatomic ideal gas has pressure p_1 and temperature T_1. It is contained in a cylinder of volume V_1 with a movable piston, so that it can do work on the outside world. Consider the following three-step transformation of the gas: 1. The gas is heated at constant volume until the...
  44. J

    Calculating Pressure and Mass of Ethane Gas in a Flask

    I'm really struggling with this concept and can't seem to get my head around it. I don't know why because it seems simple enough but I can't seem to get the answer :mad:: Question: A flask with a volume 'V', provided with a stopcock, contains ethane gas (C2H6) at a temperature of T_0 and...
  45. C

    Calculating Spacing Using Ideal Gas Law

    Here's the question: For what temperatures are the atoms in an ideal gas at pressure P quantum mechanical? Hint: Use the idea gas law PV = N k_B T to deduce the interatomic spacing. Answer: T < \left( \frac{1}_{k_B} \right) \left( \frac{h^2}_{3m} \right)^{\left(...
  46. I

    Ideal Gas HW: Volume of Bubble Rising to Surface

    Hey, my friend and I have worked on this problem for about 2 hours straight (from our online HW) and can't get the answer right. The help offices and the professor are closed/gone for the weekend. Can anyone please help?! :eek: At 80.0m below the surface of the sea (density = 1.025g/cm3)...
  47. A

    Calculating the Final Temp of an XK8 Cylinder Using the Ideal Gas Law

    A Jaguar XK8 convertible has an eight-cylinder engine. At the beginning of its compression stroke, one of the cylinders contains 499cm^3 of air at atmospheric pressure (1.01×105 Pa and a temperature of 27.0 C. At the end of the stroke, the air has been compressed to a volume of 46.2 cm^3 and the...
  48. P

    Gibbs' Paradox and Ideal Gas Mixture Entropy

    Hi all. About Gibbs' paradox (with the mixture entropy for ideal gases): Is the paradox a Thermodynamic paradox? Because what's bothering me is that in Thermodynamics, the entropy is determined up to a "constant", allegedly, \[ S_0 \] , which in my opinion is dependent of \[ N \] ...
  49. S

    Ideal Gas Equation: Experimental Results & Definition

    Having written about ideal gases, I now have to say to what extent the ideal gas equation of state is an expression of experimental results, and to what extent a definition. My instant reaction is to say it is fully based on experimental results, having been derived from the results of...
  50. S

    Scuba Diving and Ideal Gas Law

    Pressure, volume, and temperature of the air in the diver's lungs when the last underwater breath is taken as p1,V1 , and T1, respectively. Pressure, volume, and temperature of the air in the diver's lungs when the surface is reached to be p2, V2, and , T2 respectively. Salt water has an...
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