P21_013 - 13. (a) We refer to the copper block as block 1...

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13. (a) We refer to the copper block as block 1 and the lead block as block 2. The equilibrium temperature T f satisFes m 1 c 1 ( T f T i, 1 )+ m 2 c 2 ( T f T i, 2 ) = 0, which we solve for T f : T f = m 1 c 1 T i, 1 + m 2 c 2 T i, 2 m 1 c 1 + m 2 c 2 = (50 g)(386 J / kg · K)(400 K) + (100 g)(128 J / kg · K)(200 K) (50 g)(386 J / kg · K) + (100 g)(128 J / kg · K) = 320 K . (b) Since the two-block system in thermally insulated from the environment, the change in internal
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