Ideal gas Definition and 823 Threads

  1. O

    Find work done on an ideal gas and a copper block.

    1. Homework Statement An Ideal gas and a block of copper have equal volumes V and at the same temperature T and atmosphere pressure P. The pressure on both substances is increased reversibly and isothermally to 5P. a) Find the work done on the ideal gas if V = 0.5 m and T= 300 K P =...
  2. K

    Heating an Ideal Gas: Why Burning Fuel is Equivalent to Reversible Heating

    Homework Statement I'm struggling to explain why for an ideal gas at constant pressure heating by burning fuel is equivalent to reversible heating. I know that all forms of work on a ideal gas are eqivalent but don't know why. Homework Equations The Attempt at a Solution
  3. D

    Specific heats relating to ideal gas properties?

    Partition separates two gases in a rigid well-insulated container. Q=0, W=0. State 1: Air: m=1kg P=500kPa T=350K CO_2: m=3kg P=200kPa T=450K Assume constant specific heats. Assume kinetic and potential energy changes are negligible. Assume the partition between the two gases...
  4. mishima

    Can gas pressure and density be reduced without changing temperature?

    I'm curious from a lab sort of perspective, how does one keep a gas at a constant temperature yet decrease both pressure and density? Like how could I reduce the pressure of argon gas with the gas kept at room temperature? Put it in a vacuum larger than the space it normally occupies or...
  5. M

    Ideal Gas: Non-Uniform Conditions Explained

    Hi, If I have a container with fixed volume, and fill it entirely with a known quantity of CO2, and then heat the edges, I should be right in saying I have under my control the temperature, volume and molecule number, and the pressure is fixed by the ideal gas equation (assuming the assumptions...
  6. W

    Ideal Gas law and a hot air balloon problem

    My physics problem is as following, Estimate the average temperature of the air inside a hot air balloon. Assume that the total mass of the unfilled balloon and payload is 500kg. what is the mass of the air inside the balloon? we are told to use a radius of 15m Equations needed density = m/V...
  7. P

    What is the Formula for Calculating the Temperature of an Ideal Gas?

    Homework Statement see attachment. I've asked this question before but no one replied. not sure what formula I should use. already tried lambda (max and med) = C*m*K but neither of them worked. I need some help with this pretty quick if anyone can, thanks. Homework Equations The...
  8. X

    Solving a Relativistic Ideal Gas Momentum Probability Distribution

    Homework Statement For a relativistic ideal gas, the momentum probability distribution is given by where http://latex.codecogs.com/gif.latex?\epsilon_p=\sqrt[]{m^2c^4+c^2p^2}. Determine A Homework Equations The Attempt at a Solution I know that...
  9. E

    Which unit of pressure is used in the ideal gas law?

    The ideal gas law states that pressure (P) is equal to the product of density (N), the ideal gas constant (R) and temperature (T): P = N x R x T I can't figure out which unit the pressure is actually in, although it does seems to work out as the figure I'm supposed to get with a 11706.85°...
  10. J

    Adiabatic process in a monatomic ideal gas

    Homework Statement In a quasistaic adiabatic process in a monatomic ideal gas PV^5/3 = constant [DO NOT PROVE]. A monatomic ideal gas initially has a pressure of P0 and a volume of V0. It undergoes a quasistatic adiabatic compression to half its initial volume. Show that the work done on...
  11. D

    Which process results in greater work done for the expansion of an ideal gas?

    1. Consider an I.G. expanding from a given state to a fixed final volume at either an isobaric or isothermal process. For which case is the work done greater? 2.Energy balance: \sumEin - \sumEout = (Win - Wout) + (Qin - Qout) = \DeltaU; W = \int Fds Where Q represents heat, W represents work...
  12. D

    Ideal Gas Equation: Calculating R in PV=nRT

    Homework Statement The ideal gas equation, PV=nRT, may have the following units: P is given in bar (bar) V is given in m3 (cubic meters) N is given in mol (moles) T is given in K (kelvin) Which value of R would you use for the calculation if you were using the above units for the...
  13. K

    Calculating Heat & Work for 1 Mole of Ideal Gas

    Homework Statement 1 mole of monatomic ideal gas. P1 = 2 atm V1 = 44.8 L T1 = 1092 K. The path to P2 = 1 atm V2 = 22.4 L and T2 = 273K is P = 6.643E-4 * V^2 + 2/3. Calculate the heat and work. Homework Equations q = nCpΔT w = PΔVThe Attempt at a Solution I attempted to directly plug in the...
  14. H

    Calculate Pressure of Interstellar Hydrogen Gas at 3K

    Homework Statement Some regions of interstellar space is made of lone hydrogen atoms with a density of 1 particle / cm3, at a temperature of around 3 K. Calculate the pressure due to these particles. Homework Equations P = nkbT, where P is the pressure, n is the number density and T is...
  15. J

    Ideal Gas Theory: Calculate N, V from P, T

    Homework Statement a) An ideal gas has a pressure of 1atm, volume of 0.5m^3m temperature of 300k. Find the number of moles. b) Three moles of an ideal gas is at a pressure of 1x10^2 Nm^-2 and a temperature of 263K. Calculate the volume. Homework Equations 1) PV = NRT 2) PV=NKbT...
  16. J

    Calculating Mass of Air in an Ideal Gas Tire for Beginners

    I have no clue how to start this problem can someone help? Problem: An automobile tire that has V= 0.6 m3 is inflated to a gage pressure of 200 kPA. Calculate the mass of air in the tire if the temperature is 20 Degree Celsius. Suggestion from my teacher: Air is assumed to be an ideal...
  17. H

    Deriving mean free path of ideal gas

    Homework Statement The mean free path for an ideal collisional gas can be calculated as shown on thishttp://hyperphysics.phy-astr.gsu.edu/hbase/Kinetic/menfre.html" . I understand the derivation, except for one thing. Homework Equations The Attempt at a Solution The molecule is...
  18. J

    Why is the ideal gas law a good approximation for stars?

    Any ideas appreciated!
  19. Q

    Solving Enthalpy for Ideal Gas: Finding H as a Function of S and P

    Hello. I'm having troubles solving the enthalpy for an ideal gas. From the equation H=U+PV, i could find H substituting PV=NRT = U/c, but then i need the energy as a function of S and P, so i'd get H as a function of its proper variables (S and P).. I can't find such an expression. It's just...
  20. T

    Pressure Cooker-Involving Ideal Gas law and Total Pressure

    Homework Statement A cook puts 9.00g of water in a 2.00L pressure cooker and warms it to 500 degree celcius. What is the pressure inside the container.Homework Equations P_{total} = P_{1} + P_{2} +... (eqn1) PV = nRT (eqn2) \frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{1}} (eqn3) The Attempt at a...
  21. K

    How Does Water Pressure Affect Piston Position in an Ideal Gas Cylinder?

    Homework Statement An upright cylinder 1.00m tall and closed at it's lower end is fitted with a light piston that is free to slide up and down. Initially the piston is in the centre. Above the piston, the cylinder forms a cup-like cavity which water is poured into until it is full. Assuming...
  22. K

    Why diatomic molecules (ideal gas) are 1-d oscillators.

    I think I did understand this once but now I am confused. If we choose the center-of-mass frame for a diatomic molecule, it also obeys the force law F=-kr, where r=(x,y,z), so why isn't it a 3-d harmonic oscillator, like an atom in solid? I know it may have something to do with the fact that gas...
  23. A

    Ideal gas law practical application

    Homework Statement To measure how far below the ocean surface a bird dives to catch a fish, a scientist uses a method originated by Lord Kelvin. He dusts the interiors of plastic tubes with powdered sugar and then seals one end of each tube. He captures the bird at nighttime in its nest and...
  24. L

    Ideal Gas Law Problem - Environmental Physics

    Homework Statement 1. Consider ideal gas in a rigid cylinder of 2 litres, at pressure of 3 Bar. The gas is connected through a thin capillary to a free expanding bag, which contains ideal gas at pressure 1Bar and volume of 1 litre. A valve in the capillary initially prevents the gases to mix...
  25. G

    Compressing ideal gas isothermally, calc work

    Homework Statement 10 moles of an ideal gas are compressed isothermally and reversibly from 1 to 10 atmospheres at 300K. Determine the work done ON the gas.Homework Equations dw=-PdV PV=nRT The Attempt at a Solution dT=0 T=300K dP=10atm calc dV from ideal gas law = 2.27e10 m^3 so now we...
  26. M

    Entropy of Ideal Gas N2 at 350 K, 2.0 bar

    Homework Statement what is the entropy of 1.0 litre of gasoues n2 at Ta=350 K and Pa=2.0 bar given that So = 191.61 J/(K gmol) at To = 298.15 K and Po = 1 bar? Homework Equations I think : S(at 350) - So = NC_p ln (Ta/To) - NR ln(Pa/po) The Attempt at a Solution My problem is, C_p...
  27. T

    Monatomic ideal gas thermodyanmics

    Suppose 1.0 mol of a monatomic ideal gas initially at 10 L and 338 K is heated at constant volume to 676 K, allowed to expand isothermally to its initial pressure, and finally compressed at constant pressure to its original volume, pressure, and temperature. (a) What is the net energy entering...
  28. V

    Kinetic Energy in relation to the ideal gas law

    I'm trying to fit this together. For monotomic molecules, the avg kinetic energy is 3/2 k_b T for diatomic, it is 5/2 k_b T PV = n_particles * k_b T Why is there no factor of 3/2 or 5/2 in the ideal gas law? How is it factored out?
  29. A

    Solve Air Heated @Constant Vol: Find 1Q2

    Homework Statement Air is heated from 300 to 350K at constant volume, Find 1Q2. Homework Equations 1Q2 = m(u2-u1)+1W2 u2-u1 = cv(t2-t1) The Attempt at a Solution The PV diagram of the process is straight up, so the area under the curve is 0, so the work done is zero. Cv is .717...
  30. J

    .Work Done by an Ideal Gas - Derivation and Implications

    The expression for the work done by an ideal gas is: \int_{V_i}^{V_f} P dV But what if V_f \prec V_i ? If W \prec 0 does that mean 1) work is done on the gas or 2)on this case, W= - \int_{V_i}^{V_f} P dV so that W \succ 0 and W still means the work done by the gas? Note: The...
  31. W

    Ideal Gas Compression Homework: T(cylinder) = 298K

    Homework Statement A compressed cylinder holds nitrogen gas at room temperature. How cold is the gas that is escaping from the cylinder? T(cylinder) = 298 K P(cylinder) = 1.034e7 Pa n = 1 Homework Equations PV = nRT The Attempt at a Solution So since I was not given either the volume of...
  32. H

    Can Air Be Treated as an Ideal Gas in Absolute Zero Calculations?

    Homework Statement Calculate your experimental value of absolute zero , how does your experimental value compare to the theoretical value -273C? Homework Equations T_abs=(S1*T2-S2*T1)/(S1-S2) The Attempt at a Solution This is all part of a lab. I'm not asking people to do any...
  33. M

    Calculate the work done by an ideal gas.

    Homework Statement 1 mole of an ideal gas is at 7 atm pressure, occupies 6L and has an internal energy of 508 J. the gas is first cooled at constant volume until its pressure is 1 atm. It is then allowed to expand at constant pressure until its volume is 8L with an internal energy of 814 J...
  34. P

    A diatomic ideal gas such as air..

    A diatomic ideal gas such as air, for which γ = 1.4, expands adiabatically to 40 times its original volume. (a) By what factor does the temperature change? (b) By what factor does the pressure change? I'm not sure how to attempt/approach this one. If anyone has any suggestions, it would be...
  35. K

    Reversible adiabatic expansion of ideal gas, entropy change?

    Homework Statement One mole of an ideal gas at 0 celcius is subjected to changes below, calculate the change in entropy of the gas: i) Gas is expanded reversibly and isothermally to twice its initial volume. DONE - 5.76 J/K ii)A similar expansion to i. is performed reversibly and...
  36. H

    What is the boiling temperature of the liquid?

    Homework Statement the gas scale temperature is defined as: T=273.16 lim Ptp->0 (P/Ptp) The bulb of a constant volume gas thermometer is immersed in an ice-water-vapour mixture and the recorded pressure is 0.500 atm. It is then immersed in a boilng liquid and the pressure is 0.720 atm...
  37. K

    Can Boyle's Law Determine How Far a Submerged Bottle Must Be Sunk?

    My physics teacher recently assigned this challenge and I have no clue where to begin. I think the ideal gas law might apply but I'm not sure. Any insight? A bottle, full of air at atmospheric pressure, whose volume is 500 cubic centimeters, is sunken mouth downwards below the surface of a...
  38. V

    Ideal gas law - work out temperature and pressure

    A neon tube of volume 1.0 × 10−3m3 holds a sample of 3.0 × 1020 atoms of neon gas in equilibrium. The distribution of speeds of the neon atoms shows a peak at 500 m s−1. The neon may be treated as an ideal gas. (Take the mass of each neon atom to be 20 amu.) What is the Temp & Pressure of the...
  39. A

    What is the significance of work done by an ideal gas?

    See my reply
  40. L

    Thermodynamics Ideal Gas Law problem (pressure problem)

    Homework Statement If 2.00 m³ of a gas initially at STP is placed under a pressure of 5.00 atm, the temperature of the gas rises to 39.0°C. What is the volume? STP means it's at 0°C and 1 atm of Pressure, correct? V1 = 2.00 m³ V2 = ? T1 = 0°C = 273°K (My main confusion was units: °C...
  41. jacksonpeeble

    Basic Monatomic Ideal Gas Speed/Temperature Relationship

    What would happen to the temperature (in Kelvin) if the speed of every atom in a monatomic ideal gas were doubled (specifically, what multiplication factor would be used)?
  42. P

    Ideal Gas Law Problem: Balloon Volume Change @ Different Pressures

    Homework Statement You have a balloon (stretchy) filled with one liter of He at 1 atm and 298 Kalvin. The balloon is suddenly placed into a room at .5 atm and 298 Kalvin. What is the temperature of the gas inside the balloon a little while after this happens? Homework Equations P*V=n*R*T...
  43. A

    How to Calculate Ideal Gas Temperature Change without Bursting the Vessel

    Homework Statement A certain amount of gas at 298.15 K and at a pressure of 0.800 atm is contained in a glass vessel. suppose that the vessel can withstand a pressure of 2.00 atm. How high can you raise the termperature of the gas without bursting the vessel. Homework Equations PV=nRT...
  44. L

    Ideal gas law hot air balloon problem

    Homework Statement A hot-air balloon achieves its buoyant lift by heating the air inside the balloon, which makes it less dense than the air outside. Suppose the volume of a balloon is 1900 m3 and the required lift is 2500 N (rough estimate of the weight of the equipment and passenger)...
  45. L

    Problem using the ideal gas law

    Homework Statement In an internal combustion engine, air at atmospheric pressure and a temperature of about 20°C is compressed in the cylinder by a piston to 1/4 of its original volume (compression ratio = 4.0). Estimate the temperature of the compressed air, assuming the pressure reaches 20...
  46. S

    Ideal Gas in the Classroom: Quiet and Not Smelly?

    We were in our intro physics class and the prof was talking about ideal gas. He asked what are the qualities of ideal gas to which I replied "quiet and not smelly". Classroom exploded
  47. S

    Using Ideal Gas Law to find P, V, or T

    Ok, so I'm doing this homework online and I THINK I'm doing it correctly, but I'm getting incorrect answers. Homework Statement 0.290 mol of argon gas is admitted to an evacuated 40.0 cm^3 container at 60.0 degrees C. The gas then undergoes an isochoric heating to a temperature of 300...
  48. S

    What Defines an Ideal Gas and How Does It Differ from Real Gases?

    what are the differences? my professor said something like an ideal gas has a big temperature, and a big volume. and ithink he says it follows the kinetic molecular theory. but i also know that different gases react at different temps and volumes so big is relative. how do i know what is big...
  49. L

    Having trouble using the ideal gas law for this problem.

    Homework Statement A pressure as low as 1 * 10^-8 torr can be achieved using an oil diffusion pump. How many molecules are there in 1 cm^3 of a gas at this pressure if its temperature is 371 K?Homework Equations PV = nRT = NkTThe Attempt at a Solution I converted 1*10^-8 torr to atm and got...
  50. Q

    The Meaning of the Ideal Gas Equation: Vdp + pdV = 0

    PV = nRT why when T is constant, Vdp + pdV = 0?
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