problem17_81

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

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17.81: The tube is initially at temperature , 0 T has sides of length 0 L volume , 0 V density , 0 ρ and coefficient of volume expansion . β a) When the temperature increase to , 0 T T + the volume changes by an amount , V where . 0 T V β V = Then, , 0 V V m ρ + = or eliminating . , 0 0 T βV V m ρ V + = Divide the top and bottom by 0 V and substitute . 0 0 V m ρ = Then . 1 or 0 0 0 0 0 0 T β ρ ρ V T βV V V V m ρ + = + = This can be rewritten as ( 29 . 1 1 0 - + = T β ρ ρ Then using the expression ( 29 , 1 1 nx x n + + where ( 29 . 1 , 1 0 T β ρ ρ n - = - = b) The copper cube has sides of length
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Unformatted text preview: C. 50.0 C . 20 C . 70 and m, .0125 cm 25 . 1 ° = °-° = ∆ = T ( 29 ( 29 ( 29 . m 10 5 C . 50 m 0125 . C 10 1 . 5 3 9 3 5--× = ° ° × = ∆ = ∆ T βV V Similarly, ; m kg 10 8.877 or )), C . 50 )( C 10 1 . 5 ( 1 ( m kg 10 9 . 8 3 3 5 3 3 × = ° ° ×-× =-ρ ρ extra significant figures have been keep. So . 23 3 m kg-= ∆ ρ...
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