problem17_p123

University Physics with Modern Physics with Mastering Physics (11th Edition)

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17.123: a) b) After a very long time, no heat will flow, and the entire rod will be at a uniform temperature which must be that of the ends, C. 0 ° c) d) ( 29 ( 29 . cos C 100 L πx L π x T ° = At the ends, , and 0 L x x = = the cosine is 1 ± and the temperature gradient is ( 29 ( 29 m. C 10 14 . 3 100 0 C 100 3 ° × ± = ° ± m . π e) Taking the phrase “into the rod” to mean an absolute value, the heat current will be = x T kA W. 121 m) C 10 14 . 3 )( m 10 (1.00 K) m 0 . 385 ( 3 2 -4 = ° × × W f) Either by evaluating x T at the center of the rod, where ( 29 , 0 2 cos and 2 = = π π L πx or by checking the figure in part (a), the temperature gradient is zero, and no heat flows through the center; this is consistent with the symmetry of the situation. There will not be any heat current at the center of the rod at any later time. g) See Problem 17.114; s. m 10 1 . 1 K) kg J 390 )( m kg 10 9 . 8 ( K) m W 385 ( 2 4 3 3 - × = × = ρc k h) Although there is no net heat current, the temperature of the center of the rod is
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problem17_p123 - 17.123: a) b) After a very long time, no...

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