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ism_chapter_18 - Chapter 18 Heat and the First Law of...

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1359 Chapter 18 Heat and the First Law of Thermodynamics Conceptual Problems 1 Picture the Problem We can use the relationship T mc Q = to relate the temperature changes of bodies A and B to their masses, specific heats, and the amount of heat supplied to each. Express the change in temperature of body A in terms of its mass, specific heat, and the amount of heat supplied to it: A A A c m Q T = Express the change in temperature of body B in terms of its mass, specific heat, and the amount of heat supplied to it: B B B c m Q T = Divide the second of these equations by the first to obtain: B B A A A B c m c m T T = Substitute and simplify to obtain: ( )( ) 4 2 2 B B B B A B = = c m c m T T or A B 4 T T = *2 Picture the Problem We can use the relationship T mc Q = to relate the temperature changes of bodies A and B to their masses, specific heats, and the amount of heat supplied to each. Relate the temperature change of block A to its specific heat and mass: A A A c M Q T = Relate the temperature change of block B to its specific heat and mass: B B B c M Q T =
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