Revisão
L=L0[1 +↵(T!T0)]
A=A0[1 + 2↵(T!T0)]
V=V0[1 + 3↵(T!T0)]
!Q=mc!T
dQ
dt
=!kA
dT
dx
dT
dx
=!
T2!T1
L
dQ
dt
=kA
T2!T1
L
Condução
de calor
Dilatação
Calor
1ªLei da Termodinâmica:
Q=!U+Wi!f
Conservação da energia !!!
Q=!U+W
<latexit sha1_base64="KMHo/xmcnuWVZzRESJGPZlXl3f8=">AAAC3nicjVHLSsNAFD2N7/qKuhJFBosgKCWpC90Ioi5ctmCtYKVO4qihaRKSiVBEXOlO3PoDbnXrn4h/oPgT3plG8IHohMycOfeeM3PnOpHvJdKynnNGV3dPb1//QH5waHhk1Bwb30nCNHZF1Q39MN51eCJ8LxBV6Ulf7Eax4C3HFzWnuaHitVMRJ14YbMt2JPZb/DjwjjyXS6Ia5iSrsFXG6pvCl5xVWX2RLaiJ1RpmwSpaerCfwM5AYW36sfJ2OfNYDs0n1HGIEC5StCAQQBL2wZHQtwcbFiLi9nFGXEzI03GBc+RJm1KWoAxObJPmY9rtZWxAe+WZaLVLp/j0x6RkmCNNSHkxYXUa0/FUOyv2N+8z7anu1qbVybxaxEqcEPuX7iPzvzpVi8QRVnQNHtUUaUZV52YuqX4VdXP2qSpJDhFxCh9SPCbsauXHOzOtSXTt6m25jr/oTMWqvZvlpnhVt6QG29/b+RPslIr2UrFUoU6vozP6MYVZzFM/l7GGLZRRJe8L3OEeD8aBcWVcGzedVCOXaSbwZRi37wIVmcw=</latexit>
Q>0
<latexit sha1_base64="hPI3u12wuPUvgCFUMxcY5HWYW2Q=">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</latexit>Quando o calor entrano sistema
!U>0
<latexit sha1_base64="kfziWjy+q2LmbHbGGBrnZdyOt7Q=">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</latexit> Quando a temperatura do sistema aumenta
W>0
<latexit sha1_base64="u0AzqUMhMZdnx/MEdE/zsYVWhWM=">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</latexit>Quando o volume do sistema aumenta
Q=0
<latexit sha1_base64="EuFQGQnNniBJKtC9NUhze9w72OA=">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</latexit>Processo adiabático
!V=0
<latexit sha1_base64="AH1d0MGzTR48RCbREebE3kkk+lc=">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</latexit> Processo isocórico
W=0
<latexit sha1_base64="FKoTvR8faF/16HHRa1DHZggGnnY=">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</latexit>
W=p!V
<latexit sha1_base64="2cyACMstSFz59BCjCTV3LmtYTww=">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</latexit>
!T=0
<latexit sha1_base64="Wm0AFscJ7SPzdB39rWzsmPPDJrI=">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</latexit> Processo isotérmico
!U=0
<latexit sha1_base64="docxn39u9GJzo8ssVps7pbjtkus=">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</latexit>
Trabalho no processo reversível
Wi!f=
Z
Vf
Vi
pdV
W = área debaixo da curva da função p(V)
Trabalho depende
do caminho !
Não é uma variável
do estado !
Exercício 10
Capítulo 8
Altura muito pequena:
desprezamos a energia
potencial !
A temperatura do
bloco não muda !
v0
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v
<latexit sha1_base64="WJ+uICu3RJ3PeutbHdgXIlM2kDY=">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</latexit><latexit sha1_base64="WJ+uICu3RJ3PeutbHdgXIlM2kDY=">AAACxHicjVHLSsNAFD2Nr/quunQTLIKrkoigy6IgLluwD6hFkum0Dp0mIZkUStEfcKvfJv6B/oV3ximoRXRCkjPn3nNm7r1hIkWmPO+14CwsLi2vFFfX1jc2t7ZLO7vNLM5TxhsslnHaDoOMSxHxhhJK8naS8mAUSt4Khxc63hrzNBNxdK0mCe+OgkEk+oIFiqj6+LZU9iqeWe488C0ow65aXHrBDXqIwZBjBI4IirBEgIyeDnx4SIjrYkpcSkiYOMc91kibUxanjIDYIX0HtOtYNqK99syMmtEpkt6UlC4OSRNTXkpYn+aaeG6cNfub99R46rtN6B9arxGxCnfE/qWbZf5Xp2tR6OPM1CCopsQwujpmXXLTFX1z90tVihwS4jTuUTwlzIxy1mfXaDJTu+5tYOJvJlOzes9sbo53fUsasP9znPOgeVzxvYpfPylXz+2oi9jHAY5onqeo4go1NIz3I57w7Fw60smc/DPVKVjNHr4t5+EDZlyPew==</latexit><latexit sha1_base64="WJ+uICu3RJ3PeutbHdgXIlM2kDY=">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</latexit><latexit sha1_base64="WJ+uICu3RJ3PeutbHdgXIlM2kDY=">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</latexit>
Conservação do momento: antes = depois
mv0=(M+m)v
<latexit sha1_base64="8sDJyI/bm0Ddo0hdmOS9Q5d8F+8=">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</latexit>
v=
m
M+m
v0
<latexit sha1_base64="WqXQ1cPnRjNDoM7hMIGdaEpbKqY=">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</latexit>
v= 14,29m/s
<latexit sha1_base64="QQO3+SrUx/KGv18FaBc8mlH1ws8=">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</latexit>
En. cinét. antes:
1
2
mv
2
0
<latexit sha1_base64="2bVioftUQNzvpQdDldTD19CnWpQ=">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</latexit>
Calor para levar 10 g ao ponto de fusão:
En. cinética dissipada:
T=
1
2
mv
2
0!
1
2
(M+m)v
2
<latexit sha1_base64="2QK7vGN8Wau/kbh2zMeMFGJ20sc=">AAAC/XicjVHLSsNAFD2N7/qqunQzWARFLUkR7EYQ3bgRFKwKVksyTjWYF5OJUErxT9y5E7f+gFvdin+gf+GdMYIPRCckOXPuPWfm3uslgZ8q234uWD29ff0Dg0PF4ZHRsfHSxOReGmeSizqPg1geeG4qAj8SdeWrQBwkUrihF4h973xDx/cvhEz9ONpV7UQche5p5Ld87iqimqXaLltljZZ0ecfpdqpdFrLGIrto2sdVtvQlMLfFFlg4z0z8uNosle2KbRb7CZwclJGv7bj0hAZOEIMjQwiBCIpwABcpPYdwYCMh7ggd4iQh38QFuiiSNqMsQRkusef0PaXdYc5GtNeeqVFzOiWgV5KSYZY0MeVJwvo0ZuKZcdbsb94d46nv1qa/l3uFxCqcEfuX7iPzvzpdi0ILNVODTzUlhtHV8dwlM13RN2efqlLkkBCn8QnFJWFulB99ZkaTmtp1b10TfzGZmtV7nudmeNW3pAE738f5E+xVK45dcXaWy2vr+agHMY0ZzNE8V7CGTWyjTt5XuMcDHq1L69q6sW7fU61CrpnCl2XdvQGBOaGe</latexit><latexit sha1_base64="2QK7vGN8Wau/kbh2zMeMFGJ20sc=">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</latexit><latexit sha1_base64="2QK7vGN8Wau/kbh2zMeMFGJ20sc=">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</latexit><latexit sha1_base64="2QK7vGN8Wau/kbh2zMeMFGJ20sc=">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</latexit>
En. cinét. depois:
1
2
(M+m)v
2
<latexit sha1_base64="NoHeCtHFP5YTxv5CF6OVkFYDvT4=">AAAC4XicjVHLSsNAFD3GV62vqktdDBZBUUpSBF0W3bgRFGwrWJVknGpoXkwmgpRu3LkTt/6AW/0Z8Q/0L7wzpuAD0QlJzpx7z5m593pJ4KfKtl8GrMGh4ZHRwlhxfGJyaro0M9tI40xyUedxEMtDz01F4EeirnwViMNECjf0AtH0Ots63rwUMvXj6EBdJeI4dM8jv+1zVxF1WlpgrbZ0edfpdas9trzLVlm4wlhrjV2eVE9LZbtim8V+AicHZeRrLy49o4UzxODIEEIggiIcwEVKzxEc2EiIO0aXOEnIN3GBHoqkzShLUIZLbIe+57Q7ytmI9tozNWpOpwT0SlIyLJEmpjxJWJ/GTDwzzpr9zbtrPPXdrujv5V4hsQoXxP6l62f+V6drUWhj09TgU02JYXR1PHfJTFf0zdmnqhQ5JMRpfEZxSZgbZb/PzGhSU7vurWviryZTs3rP89wMb/qWNGDn+zh/gka14tgVZ3+9XNvKR13APBaxTPPcQA072EOdvK/xgEc8Wdy6sW6tu49UayDXzOHLsu7fAS4FmDM=</latexit><latexit sha1_base64="NoHeCtHFP5YTxv5CF6OVkFYDvT4=">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</latexit><latexit sha1_base64="NoHeCtHFP5YTxv5CF6OVkFYDvT4=">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</latexit><latexit sha1_base64="NoHeCtHFP5YTxv5CF6OVkFYDvT4=">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</latexit>
=
0.01
2
(300)
2
!
0.21
2
(14.29)
2
<latexit sha1_base64="ro7IL9AD3I9QIWKzrbjDTBdJ8E8=">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</latexit><latexit sha1_base64="ro7IL9AD3I9QIWKzrbjDTBdJ8E8=">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</latexit><latexit sha1_base64="ro7IL9AD3I9QIWKzrbjDTBdJ8E8=">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</latexit><latexit sha1_base64="ro7IL9AD3I9QIWKzrbjDTBdJ8E8=">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</latexit>
= 428.6 J = 102.4 cal
<latexit sha1_base64="cPEXKCuwjH1D+gbwq1GkWeDU4rg=">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</latexit><latexit sha1_base64="cPEXKCuwjH1D+gbwq1GkWeDU4rg=">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</latexit><latexit sha1_base64="cPEXKCuwjH1D+gbwq1GkWeDU4rg=">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</latexit><latexit sha1_base64="cPEXKCuwjH1D+gbwq1GkWeDU4rg=">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</latexit>
Calor que sobra:
= 102,4!93 = 5,85
<latexit sha1_base64="h9JbZqr0Ocp+P/76+7hXXcUn2yY=">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</latexit> cal
Este calor é usado para derreter a bala:
Q=mdL
<latexit sha1_base64="Z0SGFEgE1lzt2l6RgmYFr/wdCLU=">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</latexit>
E=Pt
<latexit sha1_base64="3SYpbP1VS4y84R+li2xL5lBFhmU=">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</latexit>
Energia dissipada pelo resistor num intervalo de tempo t:
Esta energia é transferida ao fluido na forma de calor:
Pt=!Q=mc!T
<latexit sha1_base64="ogCvKu/w2TCWzHwE3UveoU9PmCk=">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</latexit>
c=
Pt
m!T
<latexit sha1_base64="XlDT1cdvo4NIGqaBqqrFW7q7l6E=">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</latexit>
=
P
!T
1
m
t
<latexit sha1_base64="sxx6GcN3Z9d2PRmu06G3dbZFioU=">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</latexit>
=
P
!T
1
Vm
<latexit sha1_base64="2xyvTvOOTXEjgCGaAHMjTOPNslA=">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</latexit>
Substituindo os valores numéricos:
Benzeno:
Vm=5
g
s
<latexit sha1_base64="qzx7bkALVUN7F2gLA7jFCiwaMDk=">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</latexit>
P= 200W
<latexit sha1_base64="67Rc66v2VCBODf6IAzwk8wHWCg0=">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</latexit>
Ti= 15
o
C
<latexit sha1_base64="+SwYj2VaTiAtqE+Q4KNLZOTdUnQ=">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</latexit>
Tf= 38,3
o
C
<latexit sha1_base64="mXouuYkwx9t0zV53Cq+3n8k21ok=">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</latexit>
Determine calor específico do benzeno !
M = 23,6. Kg
h = 1,6 m
m = 6,32 Kg
20Mgh=mc!T
<latexit sha1_base64="5/6ZefNxW7gkNwSpqL0QKWXoN3A=">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</latexit>
Energia potencial -> energia cinética -> calor
(em Joules)(em calorias)
Valores numéricos
Energia da água que cai:
Calor recebido pela água parada:
Igualando as duas:
T1= 100
o
C
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2mm
<latexit sha1_base64="8pwqE9sfUrEb6sXhJx/CuWe2vyY=">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</latexit>
T2=?
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Calor atravessa o
fundo da chaleira!
Calor transforma
líquido em vapor
Calor necessário para evaporar um litro de água:
Isso leva 5 minutos para acontecer:
Usando a equação da condução do calor: