Do 2 kilogramów nafty o temperaturze 15C wrzucono 1 kg mosiądzu o temperaturze 100C. Temperatura nafty wzrosła do 22C. Oblicz ciepło właśiwe nafty. Ciepło właściwe mosiądzu wynosi 377[J/kgC].
m1-2kg
T1- 15C
c1nafty?
m2- 1kg
T2-100C
c2- 377 [J/kgC]
T3-22C
C1= m2*c2(t2-t3)/(t3-t1)*m1
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m1=2kg
t1=15
m2=1kg
t2=100
t3=22
cm=400J/kg*k
cn-?
m1*cn*(t3-t1)=m2*cm*(t2-t3)
cn=m2*cm*(t2-t3)/m1*(t3-t1)
cn=1kg*400J/kg*k*78k/2kg*7K
cn=31200/14
cn=2228,57J/kg*K
Liczę na naj!
dane:
m₁ = 2 kg
t₁ = 15*C
m₂ = 1 kg
t₂ = 100*C
tk = 22*C
C₂ = 377 J/kg*C
szukane:
C₁ = ?
Q pobrane = Q oddane
m₁C₁(tk-t₁) = m₂C₂(t₂-tk) /:m₁(tk-t₁)
C₁ = m₂C₂(t₂-tk)/m₁(tk-t₁)
C₁ = 1kg*377J/kg*C(100*C-22*C)/[2kg(22*C-15*C)] = 29406/14 J/kg*C = 2 100 J/kg*C
C₁ = 2 100 J/kg*C
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Odp. Ciepło własciwe nafty wynosi 2 100 J/kg*C.