P21_009 - 9. (a) The energy that leaves the aluminum as...

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9. (a) The energy that leaves the aluminum as heat has magnitude Q = m a c a ( T ai T f ), where m a is the mass of the aluminum, c a is the speciFc heat of aluminum, T ai is the initial temperature of the aluminum, and T f is the Fnal temperature of the aluminum-water system. The energy that enters the water as heat has magnitude Q = m w c w ( T f T wi ), where m w is the mass of the water, c w is the speciFc heat of water, and T wi is the initial temperature of the water. The two energies are the same in magnitude since no energy is lost. Thus, m a c a ( T ai T f )= m w c w ( T f T wi T f = m a c a T ai + m w c w T wi m a c a + m w c w . The speciFc heat of aluminum is 900 J / kg · K and the speciFc heat of water is 4190 J / kg · K. Thus, T f = (0 . 200 kg)(900 J / kg · K)(100 C) + (0 . 0500 kg)(4190 J / kg · K)(20 C) (0 . 200 kg)(900 J / kg · K) + (0 . 0500 kg)(4190 J / kg ·
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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