Find: The cost U. The density of water at room conditions is known Table A. The density of air at room conditions is known Table A. From the Internet, dry air has a molar mass of This makes sense, because the molecules in a liquid are held together by weak inter-molecular bonding, and in gases they are not; see Table 1.
Volume inside the tank is constant, as is the mass. Mass is related to volume by density. In the problem statement, the temperatures were given in Centigrade. We need to convert the given temperatures to Kelvin in order to relate them to the pressures. We see that the ratio of temperatures in K is not Find: Calculate density of air using local conditions.
Compare calculated density with the value from Table A. PLAN Calculate density by applying the ideal gas law for local conditions. From Table A. Properties: From Table A. Properties: J From Table A. Find volume to get diameter.
Moles of methane can be related to mass by molecular weight. Mass and volume are related by density. Ideal Gas Law for constant volume. Methane, CH4 , has a molecular weight of 16 mol g.
Thus, 10 moles of methane weighs g. Combine Eqs. Find: Ratio of density of water to density of air. Properties: Air, Table A. Water o C , Table A. PLAN Apply the ideal gas law to air. Find: Weight tank plus oxygen. Ideal gas law pabs. For compressed gas in a tank, pressures are often very high and the ideal gas assumption is invalid. Always use absolute pressure when working with the ideal gas law.
Find: Mass of oxygen that has been released. Find the density for the case before the gas is released; and then mass from density, given the tank volume. Find the density for the case after the gas is released, and the corresponding mass. Find: Mass of air using units of slugs and kg. Assumptions: The density of air is the value at sea level for standard conditions. Plot air density versus temperature for a range of o C to 50o C.
Plot tire pressure versus temperature for the same temperature range. Assumptions: For part b, assume that the bike tire volume does not change. PLAN Apply the ideal gas law. Find: Estimate the volume of the raft. Properties: CO2 , Table A. Find volume using the formula for a cylinder. Find density using the ideal gas law IGL. Calculate mass. This would require a large and potentially expensive CO2 tank. Thus, this design idea may be impractical for a product that is driven by cost.
Find: Weight of helium inside balloon. Density can be found using the ideal gas law. The steps below are outlined in detail in Example 1. Apply Grid Method 2. Do calculations, and conversions to SI units. List the variable s to be solved for. List the units on these variables. Describe each variable s with a short statement. Answers will vary. College Physics — Raymond A. Serway, Chris Vuille — 8th Edition. Introduction to Heat Transfer — Frank P. Incropera — 6th Edition.
Nixon, Alberto S. Aguado — 1st Edition. Cutsem, Costas Vournas — 1st Edition. Structural Analysis — Russell C. Hibbeler — 3rd Edition.
Written by dedicated educators who are also real-life engineers with a passion for the discipline, Engineering Fluid Mechanics carefully guides students from fundamental fluid mechanics concepts to real-world engineering applications. The Tenth Edition and its accompanying resources deliver a powerful learning solution that helps students develop a conceptual understanding of fluid flow phenomena through lucid physical descriptions, photographs, illustrations, and fully worked example problems.
Packed with more than 1, problems including open-ended design problems and computer-oriented problems this text offers ample opportunities for students to apply fluid mechanics principles as they build knowledge in a logical way and enjoy the journey of discovery.
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