thermodynamicsSolutionsCH01

# thermodynamicsSolutionsCH01 - 1-1 Chapter 1 INTRODUCTION...

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1-1 Chapter 1 INTRODUCTION AND BASIC CONCEPTS Thermodynamics 1-1C Classical thermodynamics is based on experimental observations whereas statistical thermodynamics is based on the average behavior of large groups of particles. 1-2C On a downhill road the potential energy of the bicyclist is being converted to kinetic energy, and thus the bicyclist picks up speed. There is no creation of energy, and thus no violation of the conservation of energy principle. 1-3C There is no truth to his claim. It violates the second law of thermodynamics. Mass, Force, and Units 1-4C Pound-mass lbm is the mass unit in English system whereas pound-force lbf is the force unit. One pound-force is the force required to accelerate a mass of 32.174 lbm by 1 ft/s 2 . In other words, the weight of a 1-lbm mass at sea level is 1 lbf. 1-5C Kg-mass is the mass unit in the SI system whereas kg-force is a force unit. 1-kg-force is the force required to accelerate a 1-kg mass by 9.807 m/s 2 . In other words, the weight of 1-kg mass at sea level is 1 kg-force. 1-6C There is no acceleration, thus the net force is zero in both cases. 1-7 A plastic tank is filled with water. The weight of the combined system is to be determined. Assumptions The density of water is constant throughout. Properties The density of water is given to be U = 1000 kg/m 3 . Analysis The mass of the water in the tank and the total mass are m tank = 3 kg V =0.2 m 3 H 2 O m w = U V = (1000 kg/m 3 )(0.2 m 3 ) = 200 kg m total = m w + m tank = 200 + 3 = 203 kg Thus, N 1991 m/s kg 1 N 1 ) m/s kg)(9.81 (203 2 2 ¸ ¸ ¹ · ¨ ¨ © § ¡ mg W

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1-2 1-8 The interior dimensions of a room are given. The mass and weight of the air in the room are to be determined. Assumptions The density of air is constant throughout the room. Properties The density of air is given to be U = 1.16 kg/m 3 . ROOM AIR 6X6X8 m 3 Analysis The mass of the air in the room is kg 334.1 u u # ) m 8 6 )(6 kg/m (1.16 3 3 V U m Thus, N 3277 ¸ ¸ ¹ · ¨ ¨ © § ¡ 2 2 m/s kg 1 N 1 ) m/s kg)(9.81 (334.1 mg W 1-9 The variation of gravitational acceleration above the sea level is given as a function of altitude. The height at which the weight of a body will decrease by 1% is to be determined. 0 z Analysis The weight of a body at the elevation z can be expressed as W mg m z 0 u 0 ( . . ) 9 807 332 10 6 In our case, W W mg m s s 099 0 99 0 99 9807 . . . ( )( . ) Substituting, m 29,539 ¢o ¢ u 0 0 z z ) 10 32 . 3 81 . 9 ( ) 81 . 9 ( 99 . 0 6 Sea level 1-10E An astronaut took his scales with him to space. It is to be determined how much he will weigh on the spring and beam scales in space. Analysis ( a ) A spring scale measures weight, which is the local gravitational force applied on a body: lbf 25.5 ¸ ¸ ¹ · ¨ ¨ © § ¡ 2 2 ft/s lbm 32.2 lbf 1 ) ft/s lbm)(5.48 (150 mg W ( b ) A beam scale compares masses and thus is not affected by the variations in gravitational acceleration. The beam scale will read what it reads on earth, W 150 lbf 1-11 The acceleration of an aircraft is given in g ’s. The net upward force acting on a man in the aircraft is to be determined.
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