SCHAUM'S SOLVED PROBLEMS SERIES

2000 SOLVED PROBLEMS IN

MECHANICAL ENGINEERING

by

Peter E. LUey, Ph.D. Purdue Üniversity

McGRAW-HIIX PUBLISHING COMPANY New York St. Louis San Francisco Auckland Bogota Caracas Hamburg Lisbon London Madrid Mexico Milan Montreal New Delhi Oklahoma City Paris San Juan Säo Paulo Singapore Sydney Tokyo Toronto CONTENTS

Chapter 1 BASIC CONCEPTS / / Temperature / Mass / Mass Flow Rate / Capacity / Velocity / Acceleration of Gravity / and Energy

Chapter 2 THERMODYNAMIC PROPERTIES OF FLUIDS. IDEAL GASES Processes / Real Fluid Processes / One- and Two-Phase Processes / Tabular Data Acquisition / Quality / Factor / Cntical Point / Specific at Constant Pressure / of Vaporization / Enthalpy of Fusion / Enthalpy of Sublimation / Change / Gas Constant (Pure Substances) / Gas Constant (Mixtures) / Steam Table Usage / Ideal Gas Equation / Tds Equations / Miscellaneous

Chapter 3 FIRST AND SECOND FOR CLOSED SYSTEMS 64 First Law of Thermodynamics / ßoundary Work / Paddle-Wheel Work / Spring Work / Electrical Work / Joule's Law / Mixing / Heat and Work Reservoirs / Incompressible Materials / Second Law of Thermodynamics / Entropy Principle / Heat Conduction / Miscellaneous 98 Chapter 4 REAL FLUIDS . (11- H Generalized Compressibility Factor Charts / Critical Point / The / Ciausius-Clapeyron Equation / Joule-Thompson Coefficient / Derived Latent-Heat Equations / Generalized Thermodynamic Relations / Vina! Expansion / Phase Transitions / Miscellaneous

Chapter 5 STEADY AND TRANSIENT FLOWS 138 Continuity Equation / Energy Equation for Steady Flow / Subsonic Nozzle Flow / Throttling Calorimeter / Separating and Throttling Calorimeter / Incompressible Fluids / Subsonic Diffusers / Turbines / Compressors / Heat Exchangers; Fluid Mixing / Joint Mass and Energy Conservation / Entropy Generation / Transient Flow / Miscellaneous and Shorter Problems

Chapter 6 THE 172 Air Carnot Cycle / Carnot Heat Pump / Carnot Refrigerator / R12 Carnot Refrigerator / R12 Carnot Heat Pump / R12 Carnot Heat / Water Substance Carnot Refrigerator / Water Substance Carnot Heat Pump / Water Substance Carnot / Stacked Carnot Refrigerators / Stacked Carnot Heat Pumps / Stacked Carnot Heat / Dnving a Carnot Refrigerator / Clausius Inequality 191 Chapter 7 GAS CYCLES The iPa Cycle / The iVa Cycle / Lenoir Cycle; Further lPa and iVa Cycles / / / Sabatier-Trinkler, or Dual, Cycle / / A-L-A-L Cycle / Miscellaneous Cycles / Open Systems: Brayton and Stirling Cycles 234 Chapter 8 VAPOR CYCLES 252 Chapter 9 PSYCHROMETRY Basic Notions / Simple Heating or Cooling / Heating and Humidincation / Evaporative Cooling / Cooling Towers / Dehumidification with Reheating / Heating or Cooling / Adiabatic Mixing / Work Interactions (Fanning) / Air Conditioning / Respiration iv 0 CONTENTS

Chapter 10 REFRIGERATION 276 Carnot Refrigerator / Brayton Refrigerator / Vapor Refrigeration Cycle / Air Liquefaction / Stacked Cycles

Chapter 11 COMBUSTION: FIRST LAW AND EQUATION BALANCING 290 Combustion Equations / Orsat Analysis / Enthalpy of Formation / First-Law Considerations / Higher and Lower Heating Values

Chapter 12 THE SECOND LAW APPLIED TO COMBUSTION 310 Basic Concepts / Dissociation of a Single Substance / Heat Effects of Dissociation / Miscellaneous Topics

Chapter 13 MISCELLANEOUS TOPICS 322 Statistical Thermodynamics / Transport Properties / Gaseous Thermal Conductivity / Liquid Thermal Conductivity / Gaseous Viscosity / Liquid Viscosity / Various / Closed-System Availability / Open-System Availability

Chapter 14 SUPPLEMENTAL AND REVISORY PROBLEMS 336 Chapter 1 / Chapter 2 / Chapter 3 / Chapter 4 / Chapter 5 / Chapter 6 / Chapter 7 / Chapter 8 / Chapter 9 / Chapter 10 / Chapter 11 / Chapter 12 / Chapter 13 / Miscellaneous

Appendix A Properties of Water Substance 369

Appendix B Properties of Superheated Air at Atmospheric Pressure 381

Appendix C Properties of Refrigerant 12 384

Appendix D Molecular Weights and Critical Parameters of 25 Common Fluids 391

Appendix E Compressibility Factor Charts 392

Appendix F Psychrometric Tables and Charts 395

Appendix G Thermochemical Tables 400

Appendix H Temperature Dependence of the Equilibrium Constant for Several Gaseous Dissociations 405