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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 twoblock system in thermally insulated from the environment, the change in internal
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 Fall '08
 SPRUNGER
 Physics

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