Lecture_09042009_Compatibility_Mode_ - ENGR 301 ENGR 301...

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ENGR 301 Thermodynamics 9/04/2009 Madison 201 MW 12:00 – 1:15 PM ENGR 301
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WORK and HEAT Energy in transit Path functions - Associated with process, not the states - Do not have exact differentials Q ? Question: Are work and heat system properties? Can you assign work and heat to system characteristics? Can we define work and heat per unit mass of system? ENGR 301
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ENGR 301
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Electric WORK Electric POWER W = V N (J) W = V I (J/s or W) e V N e V I = V I Δ t ENGR 301
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ENGR 301
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Work for raising a body = change in potential energy = m g Δ Z Work for accelerating a body = change in KE = (m/2) (v 2 2 – v 1 2 ) ENGR 301
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Car is at rest at the bottom of slope. It is accelerated so that it achieves a speed of 90 km/h in 12.5 seconds. How much power is needed in order to achieve this acceleration? V 1 = 0 m/s V 2 = 90 km/h = 25 m/s 1 0 m/s, V 90 km/h 25 m/s Δ t = 12.5 s Æ acceleration = 2 m/s 2 Distance traveled = 156.25 m Gain in elevation = 78.125 m Work done in acceleration = (m/2) (v 2 2 -v 1 2 ) = 375,000 J or 375 kJ Work done in elevation = m g Δ Z = 919,687.5 J or 919.6785 kJ Net work done = 1294.7 kJ Power needed
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