Explanation Write the expression for the van der walls equation. V ' = V − n b (I) Here, V ' is the volume of space available, V is the total volume available, n is the number of moles and b is the volume occupied by the molecules per mole. Consider all the molecules present are spherical in shape. Write the expression for the volume occupied by the molecules. b = N o ⋅ 4 3 π ( d 2 ) 3 Rearrange the above expression for the diameter. d = 2 ( 3 b 4 π N o ) 1 / 3 (II) Here, N o is the number of molecules in one mole, d is the diameter of the molecule. Conclusion: Substitute 3.2 × 10 − 5 m 3 / mol for b , 6.022 × 10 22 molecules / mol for N o in equation (II)

Physics for Science and Engineering With Modern Physics, VI - Student Study Guide

4th Edition

ISBN: 9780132273244

Author: Doug Giancoli

Publisher: PEARSON

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Chapter 18, Problem 40P

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The diameter of an oxygen atom using van der walls equation of state.

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Chapter 18, Problem 38P

Chapter 18, Problem 41P

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Physics for Science and Engineering With Modern Physics, VI - Student Study Guide

Ch. 18.1 - In a mixture of the gases oxygen and helium, which...Ch. 18.1 - Now you can return to the Chapter-Opening...Ch. 18.1 - If you double the volume of a gas while keeping...Ch. 18.1 - By what factor must the absolute temperature...Ch. 18.4 - As the air warms up in the afternoon, how would...Ch. 18 - Why doesnt the size of different molecules enter...Ch. 18 - When a gas is rapidly compressed (say, by pushing...Ch. 18 - In Section 181 we assumed the gas molecules made...Ch. 18 - Explain in words how Charless law follows from...Ch. 18 - Prob. 5Q

Ch. 18 - As you go higher in the Earths atmosphere, the...Ch. 18 - Prob. 7Q Ch. 18 - Is temperature a macroscopic or microscopic...Ch. 18 - Explain why the peak of the curve for 310 K in...Ch. 18 - Escape velocity for the Earth refers to the...Ch. 18 - Prob. 11Q Ch. 18 - If the pressure in a gas is doubled while its...Ch. 18 - What everyday observation would tell you that not...Ch. 18 - Prob. 14Q Ch. 18 - Alcohol evaporates more quickly than water at room...Ch. 18 - Explain why a hot humid day is far more...Ch. 18 - Is it possible to boil water at room temperature...Ch. 18 - What exactly does it mean when we say that oxygen...Ch. 18 - A length of thin wire is placed over a block of...Ch. 18 - Consider two days when the air temperature is the...Ch. 18 - (a) Why does food cook faster in a pressure...Ch. 18 - How do a gas and a vapor differ?Ch. 18 - (a) At suitable temperatures and pressures, can...Ch. 18 - Why does dry ice not last long at room...Ch. 18 - Under what conditions can liquid CO2 exist? Be...Ch. 18 - Why does exhaled air appear as a little white...Ch. 18 - Prob. 27Q Ch. 18 - Prob. 1P Ch. 18 - Prob. 2P Ch. 18 - (I) By what factor will the rms speed of gas...Ch. 18 - (I) A gas is at 20C. To what temperature must it...Ch. 18 - (I) What speed would a 1.0-g paper clip have if it...Ch. 18 - (I) A 1.0-mol sample of hydrogen gas has a...Ch. 18 - (I) Twelve molecules have the following speeds,...Ch. 18 - (II) The rms speed of molecules in a gas at 20.0C...Ch. 18 - (II) If the pressure in a gas is tripled while its...Ch. 18 - Prob. 10P Ch. 18 - (II) Show that for a mixture of two gases at the...Ch. 18 - (II) What is the rms speed of nitrogen molecules...Ch. 18 - (II) (a) For an ideal gas at temperature T show...Ch. 18 - Prob. 14P Ch. 18 - Prob. 15P Ch. 18 - Prob. 16P Ch. 18 - Prob. 17P Ch. 18 - Prob. 18P Ch. 18 - Prob. 19P Ch. 18 - (I) A group of 25 particles have the following...Ch. 18 - Prob. 21P Ch. 18 - (I) CO2 exists in what phase when the pressure is...Ch. 18 - (I) (a) At atmospheric pressure, in what phases...Ch. 18 - Prob. 25P Ch. 18 - Prob. 26P Ch. 18 - Prob. 27P Ch. 18 - Prob. 28P Ch. 18 - Prob. 29P Ch. 18 - Prob. 30P Ch. 18 - (II) If the air pressure at a particular place in...Ch. 18 - (II) What is the mass of water in a closed room...Ch. 18 - Prob. 33P Ch. 18 - Prob. 34P Ch. 18 - (II) A pressure cooker is a sealed pot designed to...Ch. 18 - (II) When using a mercury barometer (Section 136),...Ch. 18 - (II) If the humidity is 45% at 30.0C, what is the...Ch. 18 - Prob. 38P Ch. 18 - Prob. 40P Ch. 18 - (II) For oxygen gas, the van der Waals equation of...Ch. 18 - Prob. 44P Ch. 18 - (II) At about what pressure would the mean free...Ch. 18 - Prob. 46P Ch. 18 - (II) A very small amount of hydrogen gas is...Ch. 18 - Prob. 48P Ch. 18 - Prob. 49P Ch. 18 - Prob. 50P Ch. 18 - Prob. 51P Ch. 18 - Prob. 53P Ch. 18 - Prob. 54P Ch. 18 - Prob. 55P Ch. 18 - A sample of ideal gas must contain at least N =...Ch. 18 - In outer space the density of matter is about one...Ch. 18 - Calculate approximately the total translational...Ch. 18 - (a) Estimate the rms speed of an amino acid, whose...Ch. 18 - The escape speed from the Earth is 1.12 104 m/s,...Ch. 18 - Prob. 61GP Ch. 18 - Prob. 62GP Ch. 18 - Consider a container of oxygen gas at a...Ch. 18 - In humid climates, people constantly dehumidify...Ch. 18 - Prob. 65GP Ch. 18 - Prob. 66GP Ch. 18 - Prob. 67GP Ch. 18 - At room temperature, it takes approximately 2.45 ...Ch. 18 - Calculate the total water vapor pressure in the...Ch. 18 - Prob. 70GP Ch. 18 - The density of atoms, mostly hydrogen, in...Ch. 18 - Prob. 72GP Ch. 18 - A sauna has 8.5 m3 of air volume, and the...Ch. 18 - Prob. 74GP Ch. 18 - Prob. 75GP

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The diameter of an oxygen atom using van der walls equation of state.

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