Explanation The statement of Barometric distribution law is: The pressure of a gas, which behave like ideal, decreases with the increment of height under gravitational field. We assume a long column having height, h of a gas under the gravitational field of strength, g. The pressure of the gas at the bottom of the column i.e. h=0, the pressure is P 0 and at height, h the pressure is P. If we consider a small slice, of the column at height, h, where the thickness of the height is and as per the law the decrease pressure is -dp. The gas has density at height, h and gravitational field, g. Pressure(p)=Density(ρ) × Gravitational field(g) × Height(h), so, -dp = ρ ×g × dh...................Equation 1 (Where is density of the gas). As per ideal gas equation, PV = nRT (Where P, V, n, R and T is the pressure, volume, number of moles of gas, universal gas constant and temperature respectively. Number of moles of gas ( n ) = Weight of the gas ( W ) Molecular mass of the gas ( M ) PV = W M RT P × M = W V RT So, P × M = ρRT ( As , W M = ρ ) ρ = P × M R × T Now putting the expression of in equation 1, we get - dp = P × M R × T × g × dh - dP P = M × g R × T dh Now integrating both side - ∫ dP P = M × g R × T ∫ dh - 1 nP = M × g R × T × h + Z (where,Z is the integrating constant) When h=0, then P=P 0 , thus -1n P 0 = Z - 1 nP = M × g R × T × h - 1 nP 0

Chemistry: Structure and Properties, Books a la Carte PACKAGE W/MasteringChemistry, 2nd Edition

2nd Edition

ISBN: 9780134777559

Author: Tro, Nivaldo J.

Publisher: PEARSON

See similar textbooks

Concept explainers

Ideal and Real Gases

Ideal gases obey conditions of the general gas laws under all states of pressure and temperature. Ideal gases are also named perfect gases. The attributes of ideal gases are as follows,

Gas Laws

Gas laws describe the ways in which volume, temperature, pressure, and other conditions correlate when matter is in a gaseous state. The very first observations about the physical properties of gases was made by Robert Boyle in 1662. Later discoveries we…

Gaseous State

It is well known that matter exists in different forms in our surroundings. There are five known states of matter, such as solids, gases, liquids, plasma and Bose-Einstein condensate. The last two are known newly in the recent days. Thus, the detailed fo…

Question

Chapter 10, Problem 30E

Interpretation Introduction

To determine: Pressure of the gas sample in each case

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 10, Problem 29E

Chapter 10, Problem 31E

Students have asked these similar questions

Please predict the products for each of the following reactions. Clearly show the regiochemistry (Markovnikov vs anti-Markovnikov) and stereochemistry (syn- vs anti- or both). If a mixture of enantiomers is formed, please draw all the enantiomers. cold KMnO4, NaOH 2. DMS 1. 03 CH3OH Br2 1. 03 2. (CH3)2S H₂ Pd or Pt (catalyst) HBr 18 19 20 1 HBr ROOR (peroxide) H₂O H₂SO4 HCI HI 17 16 6 15 MCPBA 1. BH3 THF 2. H₂O2, NaOH 1. OsO4 2. H₂O₂ 110 CH3CO₂H (peroxyacid) 1. MCPBA 2. H₂O* Br2 H₂O BH3 THF B12 EtOH Pd or Ni (catalyst) D₂ (deuterium) Bra A B C D H OH H OH OH H OH α α α OH H OH OH фон d H "H

Briefly indicate the models that describe the structure of the interface: Helmholtz-Perrin, Gouy-Chapman, Stern and Grahame models.

Electrochemistry. Briefly describe the Gibbs model and the Gibbs absorption equation.

Chapter 10 Solutions

Chemistry: Structure and Properties, Books a la Carte PACKAGE W/MasteringChemistry, 2nd Edition

Ch. 10 - Prob. 1E Ch. 10 - Prob. 2E Ch. 10 - Prob. 3E Ch. 10 - Prob. 4E Ch. 10 - Prob. 5E Ch. 10 - Prob. 6E Ch. 10 - Prob. 7E Ch. 10 - Prob. 8E Ch. 10 - Prob. 9E Ch. 10 - Prob. 10E

Ch. 10 - Prob. 11E Ch. 10 - Prob. 12E Ch. 10 - Prob. 13E Ch. 10 - Prob. 14E Ch. 10 - Prob. 15E Ch. 10 - Prob. 16E Ch. 10 - Prob. 17E Ch. 10 - Prob. 18E Ch. 10 - Prob. 19E Ch. 10 - Prob. 20E Ch. 10 - Prob. 21E Ch. 10 - Prob. 22E Ch. 10 - If a reaction occurs in the gas phase at STP, the...Ch. 10 - Prob. 24E Ch. 10 - Prob. 25E Ch. 10 - Prob. 26E Ch. 10 - Prob. 27E Ch. 10 - Prob. 28E Ch. 10 - Prob. 29E Ch. 10 - Prob. 30E Ch. 10 - Prob. 31E Ch. 10 - Prob. 32E Ch. 10 - A 48.3-mL sample of gas in a cylinder is warmed...Ch. 10 - A syringe containing 1.55 mL of oxygen gas is...Ch. 10 - A balloon contains 0.158 mol of gas and has a...Ch. 10 - Prob. 36E Ch. 10 - Prob. 37E Ch. 10 - Prob. 38E Ch. 10 - Prob. 39E Ch. 10 - Prob. 40E Ch. 10 - Prob. 41E Ch. 10 - Prob. 42E Ch. 10 - Prob. 43E Ch. 10 - Prob. 44E Ch. 10 - Prob. 45E Ch. 10 - Prob. 46E Ch. 10 - A wine-dispensing system uses argon canisters to...Ch. 10 - Prob. 48E Ch. 10 - Prob. 49E Ch. 10 - Prob. 50E Ch. 10 - Aerosol cans carry clear warnings against...Ch. 10 - Prob. 52E Ch. 10 - Prob. 53E Ch. 10 - Use the molar volume of a gas at STP to calculate...Ch. 10 - What is the density (in g/L) of hydrogen gas at...Ch. 10 - Prob. 56E Ch. 10 - Prob. 57E Ch. 10 - A 113-mL gas sample has a mass of 0.171 g at a...Ch. 10 - A sample of gas has a mass of 38.8 mg. Its volume...Ch. 10 - Prob. 60E Ch. 10 - A gas mixture contains each of these gases at the...Ch. 10 - A gas mixture with a total pressure of 745 mmHg...Ch. 10 - We add a 1.20-g sample of dry ice to a 755-mL...Ch. 10 - A 275-mL flask contains pure helium at a pressure...Ch. 10 - A gas mixture contains 1.25 g N2 and 0.85 g O2 in...Ch. 10 - Prob. 66E Ch. 10 - The hydrogen gas formed in a chemical reaction is...Ch. 10 - Prob. 68E Ch. 10 - Prob. 69E Ch. 10 - Prob. 70E Ch. 10 - Prob. 71E Ch. 10 - Prob. 72E Ch. 10 - Prob. 73E Ch. 10 - Prob. 74E Ch. 10 - Prob. 75E Ch. 10 - Prob. 76E Ch. 10 - Prob. 77E Ch. 10 - Prob. 78E Ch. 10 - Prob. 79E Ch. 10 - Prob. 80E Ch. 10 - Prob. 81E Ch. 10 - Prob. 82E Ch. 10 - CH3OH can be synthesized by the reaction:...Ch. 10 - Oxygen gas reacts with powered aluminum according...Ch. 10 - Automobile airbags inflate following serious...Ch. 10 - Lithium reacts with nitrogen gas according to the...Ch. 10 - Prob. 87E Ch. 10 - Prob. 88E Ch. 10 - Prob. 89E Ch. 10 - Carbon monoxide gas reacts with hydrogen gas to...Ch. 10 - Prob. 91E Ch. 10 - Prob. 92E Ch. 10 - Prob. 93E Ch. 10 - Use the vander Waals equation and the ideal gas...Ch. 10 - Pennies that are currently being minted are...Ch. 10 - A 2.85 g sample of an unknown chlorofluorocarbon...Ch. 10 - Prob. 97E Ch. 10 - A 118 mL flask is evacuated and found to have a...Ch. 10 - Prob. 99E Ch. 10 - A gaseous hydrogen- and carbon-containing compound...Ch. 10 - Prob. 101E Ch. 10 - Consider the reaction: 2Ag2O(s)4Ag(s)+O2(g) If...Ch. 10 - When hydrochloric acid is poured over potassium...Ch. 10 - Consider the reaction: 2SO2(g)+O2(g)2SO(g)3 If...Ch. 10 - Ammonium carbonate decomposes upon heating...Ch. 10 - Ammonium nitrate decomposes explosively upon...Ch. 10 - Prob. 107E Ch. 10 - Prob. 108E Ch. 10 - Gaseous ammonia is injected into the exhaust...Ch. 10 - Prob. 110E Ch. 10 - Prob. 111E Ch. 10 - Prob. 112E Ch. 10 - Prob. 113E Ch. 10 - Prob. 114E Ch. 10 - Prob. 115E Ch. 10 - Prob. 116E Ch. 10 - Prob. 117E Ch. 10 - Prob. 118E Ch. 10 - Prob. 119E Ch. 10 - Prob. 120E Ch. 10 - Prob. 121E Ch. 10 - Prob. 122E Ch. 10 - Prob. 123E Ch. 10 - Prob. 124E Ch. 10 - Prob. 125E Ch. 10 - Prob. 126E Ch. 10 - When 0.583 g of neon is added to an 800-cm3bulb...Ch. 10 - A gas mixture composed of helium and argon has a...Ch. 10 - Prob. 129E Ch. 10 - Prob. 130E Ch. 10 - Prob. 131E Ch. 10 - Prob. 132E Ch. 10 - Prob. 133E Ch. 10 - Prob. 134E Ch. 10 - The atmosphere slowly oxidizes hydrocarbons in a...Ch. 10 - Prob. 136E Ch. 10 - Prob. 137E Ch. 10 - Prob. 138E Ch. 10 - Prob. 139E Ch. 10 - Prob. 140E Ch. 10 - Prob. 141E Ch. 10 - Prob. 142E Ch. 10 - Prob. 143E Ch. 10 - Which gas would you expect to deviate most from...Ch. 10 - Prob. 145E Ch. 10 - Prob. 146E Ch. 10 - Prob. 147E Ch. 10 - Prob. 148E Ch. 10 - Prob. 149E Ch. 10 - Prob. 150E Ch. 10 - Prob. 151E Ch. 10 - Calculate the pressure exerted by 1 mol of an...Ch. 10 - Prob. 153E Ch. 10 - Prob. 1SAQ Ch. 10 - Prob. 2SAQ Ch. 10 - Prob. 3SAQ Ch. 10 - Prob. 4SAQ Ch. 10 - Prob. 5SAQ Ch. 10 - Prob. 6SAQ Ch. 10 - Prob. 7SAQ Ch. 10 - A gas mixture is a 1.55-L container at 298 K...Ch. 10 - Prob. 9SAQ Ch. 10 - Prob. 10SAQ Ch. 10 - Prob. 11SAQ Ch. 10 - Prob. 12SAQ Ch. 10 - Prob. 13SAQ Ch. 10 - Prob. 14SAQ Ch. 10 - Prob. 15SAQ

Knowledge Booster

Learn more about

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

Pressure of the gas sample in each case

Solution Summary: The author explains the Barometric distribution law, which states that the pressure of a gas, behave like ideal, decreases with the increment of height under gravitational field.

Concept explainers

To determine: Pressure of the gas sample in each case

Want to see the full answer?

Chapter 10 Solutions