The best laboratory vacuum pump can generate a vacuum of about 1nTorr (10^-9 Torr). At 25°C and assuming that air consists of N_2 molecules with a collision diameter of 395 pm, calculate... (b) the mean free path,

The best laboratory vacuum pump can generate a vacuum of about 1nTorr (10^-9 Torr). At 25°C and assuming that air consists of N_2 molecules with a collision diameter of 395 pm, calculate... (b) the mean free path,

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 81AP: One process for decaffeinating coffee uses carbon dioxide ( M=44.0 g/mol) at a molar density of...

See similar textbooks

Related questions

Q: Show that for an ideal gas _ c p = _ c v + Ru.

Q: Calculate the limiting ratios of internal energy per mole possessed by He and hydrogen at 10,000K.

A: Here,The helium is monoatomic and hydrogen is diatomic.The degree of freedom for helium is 3 at all…

Q: The atomic and molecular rms speeds of gases, vrms, are usually quite large, even at low…

Q: 3.66. Show that the density-series second virial coefficients can be derived from isothermal…

A: in this question we derived the equation from isothermal volumetric data.

Q: Evaluate (dS/dn for a van der Waals gas. For an isothermal expansion, will AS be greater for an…

Q: for 0.0061 moes of The Figure s hows a pV-dagram an ideal gas that undergoes Ehe process from state…

A: no. Of mole of gas (n) = 0.0061 Value of gas constant (R) =0.08206 L.ATM/mol.k Part 1 From ideal gas…

Q: Experimentally, with a gas thermometer at constant volume, an absolute pressure corresponding to…

Q: The molar heat capacity of Naphthalene is given by C_p(T)=T^3e^-T at constant pressure. How much…

A: Given data, Number of moles = 3.7 Molar specific heat at constant pressure (Cp) = T3e-T

Q: What is the total translational kinetic energy of the air molecules in a room of volume 23 m3 if the…

Q: The molar specific heat of a gas is measured at constant volume and found to be 11R/2. Show that…

A: The Mayer’s equation is given as, Here, R, Cp and Cv represent the universal gas constant, the…

Q: Suppose you are in a room that is at a temperature of 293.02K. What is the approximate RMS velocity…

Q: Avagadro's number (6.023 × 1023) is a pure (unitless) number which serves as a good standard for…

A: Side of each sand grain cube, a = 1.3 mm = 1.3 × 10-6 km Avogadro’s number, NA = 6.023 × 1023 The…

Q: What, according to the Maxwell–Boltzmann distribution, is the proportion of gas molecules having (i)…

Q: How much work does an ideal Carnot refrigerator require to remove 1.60 J of energy from liquid…

A: Co-efficient of performance is,

Q: Calculate the internal energy of 25.0 g of low-density oxygen gas (O2) at a temperature of 255 K.

Q: The volume of a monatomic ideal gas triples in an isothermalexpansion. By what factor does its…

A: initial volume = V final volume = 3 V

Q: An ideal diatomic gas, with molecular rotation but not oscillation, loses energy as heat Q. Is the…

A: Diatomic gas

Q: 5. (Ch. 19- Exercise 23 in Wolfson) For a gas of six molecules confined to a box, find the…

A: A box has total two sides, N= 2 (Left & Right) Total number of particles (n) = 6 (a) All the…

Q: A rubberized sphere contains carbon dioxide. If the initial radius of the sphere is 15cm: a. How…

A: (a) Let Vi be the initial volume of the sphere. The final volume of the sphere is Vf=5Vi.

Q: Calculate the molar kinetic energy of 1g of helium at NTP. What will be its energy at 100 degree C?

A: Formula for the molar kinetic energy of helium gas is:

Q: One mole of an ideal gas, in the initial state T=298K, V=10L, expands to V=40L in isothermal…

A: Write the given values with suitable variables. T=298 KV1=10 LV2=40 L Here, T, V1, and V2 are the…

Q: Write an expression for the internal energy U of a gas of N particles (that is, atoms or molecules)…

A: Internal energy is the sum of the potential energy and kinetic energy of the particles of the given…

Q: Nitrogen is released at one end of a pressure chamber of length 30 meters and takes 7 hours and 44…

Q: What does it mean if the fugacity coefficient is greater than or less than 1? How do I measure the…

A: Fugacity is somewhat related to compressibility but not the same. The expression of Gibbs free…

Q: What is the internal energy of 1 L of oxygen gas at room temperature?

A: We know,

Q: If the ideal gas law (PV = kT) is used to find P when T and V are given, but there is an error of…

Q: The molar specific heat at constant volume of an ideal gas is equal to 3.5times the universal gas…

Q: The potential function between molecules of a simple non-polar gas, when the mass centres are…

Q: 2 moles of a the followin of an isothe adiabatic pr 5 atm,Pg = a) Calculat b) Calculat c) Calculate

A: From the given conditions, the cyclic process would be graphically represented as below-

Q: One mole of entrapped (a) ideal gas hos a temperature of 35 Degrees Celsius. If the temperature is…

A: From the ideal gas law we have PV=nRT where P=pressure, V= volume,n= number of moles, R= universal…

Q: Find the value of (), where(), = a/k and 9, = -Vk, Using Maxwell relation in thermodynamic.

Q: From the knowledge that CV, the molar specific heat at constant volume, for a gas in a container is…

Q: Initially a gas of diatomic molecules is contained in a cylinder of volume V at a pressure P and…

Q: Calculate the specific heat CV of a gas whose diatomic molecules have transition, rotation and…

A: Given:- the specific heat CV of a gas whose diatomic molecules have a transition, rotation, and…

Q: A container with rigid walls is filled with 4 moles of air for which Cv = 2.5R. By how much does the…

Q: Write the Ideal gas law in terms of molecules?

A: To determine: The ideal gas law in terms of molecules

Q: Assuming the radius of diatomic molecules is approximately 1.0 × 10-10 m, for what pressure will the…

Q: If 9.50 moles of a monatomic ideal gas at atemperature of 235 K are expanded isothermally from a…

A: Given: No. of moles of a monoatomic ideal gas are 9.50 moles at a temperature of 235K are expanded…

Q: nd the thermal expansion coefficient and the isoth ompressibility for an ideal gas and show that in…

A: We know that the Ideal gas equation is given as PV = RT ------ eq1 ) here P is the pressure and V…

Q: An inventor claims to have invented an adiabaticsteady-flow device with a single inlet–outlet that…

A: For this case, the pressure ratio and the coefficient k value get from the table A-2. The final…

Question

The best laboratory vacuum pump can generate a vacuum of about 1nTorr (10^-9 Torr). At 25°C and assuming that air consists of N_2 molecules with a collision diameter of 395 pm, calculate...

(b) the mean free path,

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

An ideal gas has a pressure of 0.50 atm and a volume of 10 L. It is compressed adiabatically and quasi-statically until its pressure is 3.0 atm and its volume is 2.8 L. Is the monatomic, diatomic, or polyatomic?
Two monatomic ideal gases A and B are at the same temperature. If 1.0 g of gas A has the same internal energy as 0.10 g of gas B, what are (a) the ratio of the number of moles of each gas and (b) the ration of the atomic masses of the two gases?
The temperature of n moles of an ideal gas changes from T1 to T2 in a quasi-static adiabatic transition. Show that the work done by the gas is given by W=nR1(T1T2).
Consider the earth's atmosphere as an ideal gas of molecular weignt u in a uniform gravitational field. Let g denotc the acceleration due to gravity. (a) If z denotes the height above sea level, show that the change of atmos- pheric pressure p with height is given by dp where T is the absolute temperature at the height z. (6) If the decrease of pressure in (a) is due to an adiabatic expansion, show that dp Y dT Y -iT (c) From (a) and (b) calculate dT/dz in degrees per kilometer. Assume the atmosphere to consist mostly of nitrogen (N) gas for which y - 1.4. (d) In an isothermal atmosphere at temperature T, express the pressure p at height z in terms of the pressure po at sea level. (e) If the sea-level pressure and temperature are po and To, respectively, and the atmosphere is regarded as adiabatic as in part (b), find again the pressure p at height z.
An ideal gas consists of 1.50 mol of diatomic molecules that rotatebut do not oscillate.The molecular diameter is 250 pm.The gas isexpanded at a constant pressure of 1.50*105 Pa, with a transfer of 200J as heat.What is the change in the mean free path of the molecules?
(a) Calculate the volume occupied by 1.00 mol of an ideal gas at a pressure of 1.00 atm (1.01 · 10^5 N/m^2 ) and temperature 0°C (273 K). (b) How many molecules are there per cubic centimater at these conditions? (This is called the Loschmidt number.)
The pressure in interplanetary space is estimated to be of the order of 10^-14 Pa. Calculate: A) the average number of molecules per cubic meter B) the number of molecules colliding per cubic meter per second C) the mean free path in miles. Assume thay the only hydrogen atoms are present and free temperature is 1000k. Assume molecular diameter 0.2 mm. Show complete solution, and round the final answer up to 4 decimal places.
(a) Find the number of moles in one cubic meter of an ideal gas at 20.0°C and atmospheric pressure. (b) For air, Avogadro’s number of molecules has mass 28.9 g. Calculate the mass of one cubic meter of air. (c) State how this result compares with the tabulated density of air at 20.0°C.
The vapour pressure of water can be given by: , being p the vapour pressure in mmHg and T in K. Assuming the normal boiling temperature of water is 100 ºC, calculate the value of A. Vacuum has been created in a 10 L vessel, and 10 g water have been introduced. We will assume that vapour is an ideal gas, and the density of liquid water is 1 g/cm3 at any temperature. Calculate the mass of water in liquid phase at 50 ºC: a) Assuming the volume of the liquid is very small and therefore we can ignore it; b) considering the volume occupied by the liquid water. Results:. A = 8.564; a) 9.105 g ; b) almost the same!
(a) What is the volume occupied by 1.00 mol of an ideal gas at standard conditions—that is, 1.00 atm (= 1.01* 10^5 Pa) and 273 K? (b) Show that the number of molecules per cubic centimeter (the Loschmidt number) at standard conditions is 2.69 *10^9.
Estimate the temperature at which the translational motion of anitrogen molecule would freeze out, in a box of width 1 cm.
(a) Find the number of moles in one cubic meter of an ideal gas at 20.0˚C and atmospheric pressure. (b) For air, Avogadro's number of molecules has mass 28.9g. Calculate the mass of one cubic meter of air. (c) State how this result compares with the tabulated density of air at 20.0˚C