3.
What
a mount
o f
h eat
i s
r eleased
w hen
1 75
g
o f
w ater
c ools
f rom
1 00.°C
t o
r oom
t emperature,
2 0.0
°C?
58600
J
4.
We
d on’t
a lways
h ave
t o
w arm
u p
o r
c ool
d own
w ater.
T he
s pecific
h eat
c apacity
o f
c opper
m etal
i s
0.39
J /g·°C.
I t
i s
_ ____________
( easier/more
d ifficult)
t o
h eat
u p
c opper
t han
t o
h eat
u p
w ater.
How
m uch
e nergy
w ould
i t
t ake
t o
h eat
u p
a
5 .20
g
s ample
o f
c opper
f rom
2 0.0
° C
t o
1 00.°C?
162
J
5.
If
3 00.
J
o f
h eat
e nergy
w ere
u sed
t o
h eat
u p
a
5 .00
g ram
s ample
o f
c opper
m etal
a nd
a
5 .00
g ram
sample
o f
w ater
b oth
s tarting
a t
1 0.0°C,
c alculate
t he
f inal
t emperature
o f
e ach
s ample?
Water:
2 4.3˚C;
C opper:
1 64˚C
Signs
o f
Δ T
a nd
q :
−
q
m eans
h eat
i s
r eleased.
+
q
m eans
h eat
i s
a bsorbed.
ΔT
i s
a lways
f inal
t emperature
–
i nitial
t emperature.
If
s omething
i s
g etting
h otter
( 10°
→
3 0°)
t he
Δ T
i s
3 0
–
1 0
=
+
2 0°.
( heat
i s
a bsorbed)
If
s omething
i s
g etting
c ooler
( 75°
→
2 5°)
t he
Δ T
i s
2 5
–
7 5
=
−
5 0°.
( heat
i s
r eleased)
6.
Suppose
w e
m ix
9 0.0
g rams
o f
h ot
w ater
( 90.0°C)
w ith
1 0.0
g rams
o f
c old
w ater
( 10.0°C).
Let
x
=
t he
f inal
t emperature.
C
=
4 .184
J /g·°C
a.
S et
u p
a n
e xpression
f or
t he
e nergy
r eleased
( q)
b y
t he
h ot
w ater
( Δq
=
m
CΔT
)
hot
hot
hot
q
=
9 0*4.184*∆T;
q
=
9 0*4.184*(T
-‐‑ 9 0)
F
b.
S et
u p
a n
e xpression
f or
t he
e nergy
a bsorbed
( q)
b y
t he
c old
w ater
( Δq
=
m
CΔT
)
cold
cold
cold
q
=
1 0*4.184*(T
-‐‑ 1 0)
F
c.
Knowing
t hat
t he
h eat
r eleased
=
−
h eat
a bsorbed,
c ombine
t he
t wo
e xpressions
a nd
s olve
f or
x .
82˚C
7.
We
d on’t
a lways
h ave
t o
u se
w ater.
L et’s
u se
s ome
a luminum
s hot
( pellets).
1 75
g rams
o f
h ot
aluminum
( 100.°C)
i s
d ropped
i nto
a n
i nsulated
c up
t hat
c ontains
4 0.0
m L
o f
i ce
c old
w ater
( 0.0°C).
Follow
t he
e xample
a bove
t o
d etermine
t he
f inal
t emperature,
x .
a.
S et
u p
a n
e xpression
f or
t he
h eat
l ost
b y
t he
a luminum
( C=0.900
J /g·°C)
b.
S et
u p
a n
e xpression
f or
t he
h eat
g ained
b y
t he
c old
w ater.
c.
Put
t he
t wo
e xpressions
t ogether
( don’t
f orget
t o
c hange
o ne
o f
t he
s igns)
a nd
s olve
f or
x .
48˚C