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ENERGY BALANCE Nur Istianah,ST.,MT.,M.Eng THP UB 2017

ENERGY BALANCE - Universitas Brawijayanuristianah.lecture.ub.ac.id/files/2017/04/KP1_Energy-balance-of... · Using a material balance and an energy balance, a food engineering

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Page 1: ENERGY BALANCE - Universitas Brawijayanuristianah.lecture.ub.ac.id/files/2017/04/KP1_Energy-balance-of... · Using a material balance and an energy balance, a food engineering

ENERGY BALANCE

Nur IstianahSTMTMEng THP UB 2017

Energy Balance

Total energy entering the system

Total energy leaving the system

Change in the total energy of system =

The first law of thermodynamic states that energy can be neither created nor destroyed

Overall View of an Engineering Process

Using a material balance and an energy balance a food engineering

process can be viewed overall or as a series of units Each unit is a

unit operation

Raw

materials Unit Operation

Further Unit Operation

Previous Unit Operation

By-products

Product

Wastes

Energy

Wastes Energy

Capital

Energy

Labor

Control

Conservation Law

E in = Eout

ΣQ in = Σ Qp + Σ Qbp + Qloss

Efisiensi = Σ Qp ΣQ in

Process

Heat exchange

bull Heating (pasteurisation blansing sterilisation)

bull Cooling

Separation

bull Evaporation

bull Drying

bull Distillation

Mixing Chemical reaction

HEAT BALANCE OF MIXING PROCESS

M1 CP T1 Q1

M2 C2 T2 Q2

M3 C3 T3 Q3

M4 C4 T4 Q4

Neraca energi

An dairy industry produce 100 kg of low fat cream (18 fat 82 water ww) which the ingredients are double cream (48 fat 52 water ww) and milk(35 fat 965 water ww) If double cream 30degC was mixed with milk 50degC Calculate the final temperature of product

28042017 8 NIS - DKP - THP UB - 2015

Excercise

Double cream

30 0C

Milk 50 0C

low fat cream

28042017 9 NIS - DKP - THP UB - 2015

Solution Mass balance

m in = m out

Define double cream as y kg and milk as x kg Total mass balance y + x = 100 kg helliphelliphelliphelliphellip Eq1 Fat mass balance 0035x + 048y = 100(018) helliphelliphelliphelliphellip Eq2 Eq 1 dan 2 0035(100-y) + 048y = 18 35 - 0035y + 048y = 18 y = 3258 kg So helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip X = 6742 kg

28042017 10 NIS - DKP - THP UB - 2015

Q in = Q out

Q in (T ref=0 K) a Double cream Cpdouble cream 167472(048)+41868(052)=2981 Jkg-1K Qindouble cream= mCp(Tm-Tref)

= (3258 kg)(2981 Jkg-1K)(30-0 K) = 291363096 J

b Milk Cpsusu 167472(0035)+41868(0965)=4099 Jkg-1K Qinsusu= mCp(Tm-Tref)

= (6742 kg)(4099 Jkg-1K)(50-0 K) = 829038902 J

28042017 11 NIS - DKP - THP UB - 2015

Q out Cplow fat cream 167472(018)+41868(082)=3735 Jkg-1K Qindouble cream= mCp(Tm-Tref) = 100(3735 Jkg-1K)(T-0degC)=37350(T-0degC)

Kesetimbangan energi Qindouble cream + Qinsusu= Q out low fat cream

291363096 J + 829038902 J = 37350(T-0degC)K T = (291363096 J + 829038902 J) 37350 Jkg-1 T = 4480 degC

28042017 12 NIS - DKP - THP UB - 2015

THANKS FOR YOUR ATTENTION

The best person is one give something useful always

28042017 Nur Istianah-KP1-neraca energi-2015

Page 2: ENERGY BALANCE - Universitas Brawijayanuristianah.lecture.ub.ac.id/files/2017/04/KP1_Energy-balance-of... · Using a material balance and an energy balance, a food engineering

Energy Balance

Total energy entering the system

Total energy leaving the system

Change in the total energy of system =

The first law of thermodynamic states that energy can be neither created nor destroyed

Overall View of an Engineering Process

Using a material balance and an energy balance a food engineering

process can be viewed overall or as a series of units Each unit is a

unit operation

Raw

materials Unit Operation

Further Unit Operation

Previous Unit Operation

By-products

Product

Wastes

Energy

Wastes Energy

Capital

Energy

Labor

Control

Conservation Law

E in = Eout

ΣQ in = Σ Qp + Σ Qbp + Qloss

Efisiensi = Σ Qp ΣQ in

Process

Heat exchange

bull Heating (pasteurisation blansing sterilisation)

bull Cooling

Separation

bull Evaporation

bull Drying

bull Distillation

Mixing Chemical reaction

HEAT BALANCE OF MIXING PROCESS

M1 CP T1 Q1

M2 C2 T2 Q2

M3 C3 T3 Q3

M4 C4 T4 Q4

Neraca energi

An dairy industry produce 100 kg of low fat cream (18 fat 82 water ww) which the ingredients are double cream (48 fat 52 water ww) and milk(35 fat 965 water ww) If double cream 30degC was mixed with milk 50degC Calculate the final temperature of product

28042017 8 NIS - DKP - THP UB - 2015

Excercise

Double cream

30 0C

Milk 50 0C

low fat cream

28042017 9 NIS - DKP - THP UB - 2015

Solution Mass balance

m in = m out

Define double cream as y kg and milk as x kg Total mass balance y + x = 100 kg helliphelliphelliphelliphellip Eq1 Fat mass balance 0035x + 048y = 100(018) helliphelliphelliphelliphellip Eq2 Eq 1 dan 2 0035(100-y) + 048y = 18 35 - 0035y + 048y = 18 y = 3258 kg So helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip X = 6742 kg

28042017 10 NIS - DKP - THP UB - 2015

Q in = Q out

Q in (T ref=0 K) a Double cream Cpdouble cream 167472(048)+41868(052)=2981 Jkg-1K Qindouble cream= mCp(Tm-Tref)

= (3258 kg)(2981 Jkg-1K)(30-0 K) = 291363096 J

b Milk Cpsusu 167472(0035)+41868(0965)=4099 Jkg-1K Qinsusu= mCp(Tm-Tref)

= (6742 kg)(4099 Jkg-1K)(50-0 K) = 829038902 J

28042017 11 NIS - DKP - THP UB - 2015

Q out Cplow fat cream 167472(018)+41868(082)=3735 Jkg-1K Qindouble cream= mCp(Tm-Tref) = 100(3735 Jkg-1K)(T-0degC)=37350(T-0degC)

Kesetimbangan energi Qindouble cream + Qinsusu= Q out low fat cream

291363096 J + 829038902 J = 37350(T-0degC)K T = (291363096 J + 829038902 J) 37350 Jkg-1 T = 4480 degC

28042017 12 NIS - DKP - THP UB - 2015

THANKS FOR YOUR ATTENTION

The best person is one give something useful always

28042017 Nur Istianah-KP1-neraca energi-2015

Page 3: ENERGY BALANCE - Universitas Brawijayanuristianah.lecture.ub.ac.id/files/2017/04/KP1_Energy-balance-of... · Using a material balance and an energy balance, a food engineering

Overall View of an Engineering Process

Using a material balance and an energy balance a food engineering

process can be viewed overall or as a series of units Each unit is a

unit operation

Raw

materials Unit Operation

Further Unit Operation

Previous Unit Operation

By-products

Product

Wastes

Energy

Wastes Energy

Capital

Energy

Labor

Control

Conservation Law

E in = Eout

ΣQ in = Σ Qp + Σ Qbp + Qloss

Efisiensi = Σ Qp ΣQ in

Process

Heat exchange

bull Heating (pasteurisation blansing sterilisation)

bull Cooling

Separation

bull Evaporation

bull Drying

bull Distillation

Mixing Chemical reaction

HEAT BALANCE OF MIXING PROCESS

M1 CP T1 Q1

M2 C2 T2 Q2

M3 C3 T3 Q3

M4 C4 T4 Q4

Neraca energi

An dairy industry produce 100 kg of low fat cream (18 fat 82 water ww) which the ingredients are double cream (48 fat 52 water ww) and milk(35 fat 965 water ww) If double cream 30degC was mixed with milk 50degC Calculate the final temperature of product

28042017 8 NIS - DKP - THP UB - 2015

Excercise

Double cream

30 0C

Milk 50 0C

low fat cream

28042017 9 NIS - DKP - THP UB - 2015

Solution Mass balance

m in = m out

Define double cream as y kg and milk as x kg Total mass balance y + x = 100 kg helliphelliphelliphelliphellip Eq1 Fat mass balance 0035x + 048y = 100(018) helliphelliphelliphelliphellip Eq2 Eq 1 dan 2 0035(100-y) + 048y = 18 35 - 0035y + 048y = 18 y = 3258 kg So helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip X = 6742 kg

28042017 10 NIS - DKP - THP UB - 2015

Q in = Q out

Q in (T ref=0 K) a Double cream Cpdouble cream 167472(048)+41868(052)=2981 Jkg-1K Qindouble cream= mCp(Tm-Tref)

= (3258 kg)(2981 Jkg-1K)(30-0 K) = 291363096 J

b Milk Cpsusu 167472(0035)+41868(0965)=4099 Jkg-1K Qinsusu= mCp(Tm-Tref)

= (6742 kg)(4099 Jkg-1K)(50-0 K) = 829038902 J

28042017 11 NIS - DKP - THP UB - 2015

Q out Cplow fat cream 167472(018)+41868(082)=3735 Jkg-1K Qindouble cream= mCp(Tm-Tref) = 100(3735 Jkg-1K)(T-0degC)=37350(T-0degC)

Kesetimbangan energi Qindouble cream + Qinsusu= Q out low fat cream

291363096 J + 829038902 J = 37350(T-0degC)K T = (291363096 J + 829038902 J) 37350 Jkg-1 T = 4480 degC

28042017 12 NIS - DKP - THP UB - 2015

THANKS FOR YOUR ATTENTION

The best person is one give something useful always

28042017 Nur Istianah-KP1-neraca energi-2015

Page 4: ENERGY BALANCE - Universitas Brawijayanuristianah.lecture.ub.ac.id/files/2017/04/KP1_Energy-balance-of... · Using a material balance and an energy balance, a food engineering

Conservation Law

E in = Eout

ΣQ in = Σ Qp + Σ Qbp + Qloss

Efisiensi = Σ Qp ΣQ in

Process

Heat exchange

bull Heating (pasteurisation blansing sterilisation)

bull Cooling

Separation

bull Evaporation

bull Drying

bull Distillation

Mixing Chemical reaction

HEAT BALANCE OF MIXING PROCESS

M1 CP T1 Q1

M2 C2 T2 Q2

M3 C3 T3 Q3

M4 C4 T4 Q4

Neraca energi

An dairy industry produce 100 kg of low fat cream (18 fat 82 water ww) which the ingredients are double cream (48 fat 52 water ww) and milk(35 fat 965 water ww) If double cream 30degC was mixed with milk 50degC Calculate the final temperature of product

28042017 8 NIS - DKP - THP UB - 2015

Excercise

Double cream

30 0C

Milk 50 0C

low fat cream

28042017 9 NIS - DKP - THP UB - 2015

Solution Mass balance

m in = m out

Define double cream as y kg and milk as x kg Total mass balance y + x = 100 kg helliphelliphelliphelliphellip Eq1 Fat mass balance 0035x + 048y = 100(018) helliphelliphelliphelliphellip Eq2 Eq 1 dan 2 0035(100-y) + 048y = 18 35 - 0035y + 048y = 18 y = 3258 kg So helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip X = 6742 kg

28042017 10 NIS - DKP - THP UB - 2015

Q in = Q out

Q in (T ref=0 K) a Double cream Cpdouble cream 167472(048)+41868(052)=2981 Jkg-1K Qindouble cream= mCp(Tm-Tref)

= (3258 kg)(2981 Jkg-1K)(30-0 K) = 291363096 J

b Milk Cpsusu 167472(0035)+41868(0965)=4099 Jkg-1K Qinsusu= mCp(Tm-Tref)

= (6742 kg)(4099 Jkg-1K)(50-0 K) = 829038902 J

28042017 11 NIS - DKP - THP UB - 2015

Q out Cplow fat cream 167472(018)+41868(082)=3735 Jkg-1K Qindouble cream= mCp(Tm-Tref) = 100(3735 Jkg-1K)(T-0degC)=37350(T-0degC)

Kesetimbangan energi Qindouble cream + Qinsusu= Q out low fat cream

291363096 J + 829038902 J = 37350(T-0degC)K T = (291363096 J + 829038902 J) 37350 Jkg-1 T = 4480 degC

28042017 12 NIS - DKP - THP UB - 2015

THANKS FOR YOUR ATTENTION

The best person is one give something useful always

28042017 Nur Istianah-KP1-neraca energi-2015

Page 5: ENERGY BALANCE - Universitas Brawijayanuristianah.lecture.ub.ac.id/files/2017/04/KP1_Energy-balance-of... · Using a material balance and an energy balance, a food engineering

Process

Heat exchange

bull Heating (pasteurisation blansing sterilisation)

bull Cooling

Separation

bull Evaporation

bull Drying

bull Distillation

Mixing Chemical reaction

HEAT BALANCE OF MIXING PROCESS

M1 CP T1 Q1

M2 C2 T2 Q2

M3 C3 T3 Q3

M4 C4 T4 Q4

Neraca energi

An dairy industry produce 100 kg of low fat cream (18 fat 82 water ww) which the ingredients are double cream (48 fat 52 water ww) and milk(35 fat 965 water ww) If double cream 30degC was mixed with milk 50degC Calculate the final temperature of product

28042017 8 NIS - DKP - THP UB - 2015

Excercise

Double cream

30 0C

Milk 50 0C

low fat cream

28042017 9 NIS - DKP - THP UB - 2015

Solution Mass balance

m in = m out

Define double cream as y kg and milk as x kg Total mass balance y + x = 100 kg helliphelliphelliphelliphellip Eq1 Fat mass balance 0035x + 048y = 100(018) helliphelliphelliphelliphellip Eq2 Eq 1 dan 2 0035(100-y) + 048y = 18 35 - 0035y + 048y = 18 y = 3258 kg So helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip X = 6742 kg

28042017 10 NIS - DKP - THP UB - 2015

Q in = Q out

Q in (T ref=0 K) a Double cream Cpdouble cream 167472(048)+41868(052)=2981 Jkg-1K Qindouble cream= mCp(Tm-Tref)

= (3258 kg)(2981 Jkg-1K)(30-0 K) = 291363096 J

b Milk Cpsusu 167472(0035)+41868(0965)=4099 Jkg-1K Qinsusu= mCp(Tm-Tref)

= (6742 kg)(4099 Jkg-1K)(50-0 K) = 829038902 J

28042017 11 NIS - DKP - THP UB - 2015

Q out Cplow fat cream 167472(018)+41868(082)=3735 Jkg-1K Qindouble cream= mCp(Tm-Tref) = 100(3735 Jkg-1K)(T-0degC)=37350(T-0degC)

Kesetimbangan energi Qindouble cream + Qinsusu= Q out low fat cream

291363096 J + 829038902 J = 37350(T-0degC)K T = (291363096 J + 829038902 J) 37350 Jkg-1 T = 4480 degC

28042017 12 NIS - DKP - THP UB - 2015

THANKS FOR YOUR ATTENTION

The best person is one give something useful always

28042017 Nur Istianah-KP1-neraca energi-2015

Page 6: ENERGY BALANCE - Universitas Brawijayanuristianah.lecture.ub.ac.id/files/2017/04/KP1_Energy-balance-of... · Using a material balance and an energy balance, a food engineering

HEAT BALANCE OF MIXING PROCESS

M1 CP T1 Q1

M2 C2 T2 Q2

M3 C3 T3 Q3

M4 C4 T4 Q4

Neraca energi

An dairy industry produce 100 kg of low fat cream (18 fat 82 water ww) which the ingredients are double cream (48 fat 52 water ww) and milk(35 fat 965 water ww) If double cream 30degC was mixed with milk 50degC Calculate the final temperature of product

28042017 8 NIS - DKP - THP UB - 2015

Excercise

Double cream

30 0C

Milk 50 0C

low fat cream

28042017 9 NIS - DKP - THP UB - 2015

Solution Mass balance

m in = m out

Define double cream as y kg and milk as x kg Total mass balance y + x = 100 kg helliphelliphelliphelliphellip Eq1 Fat mass balance 0035x + 048y = 100(018) helliphelliphelliphelliphellip Eq2 Eq 1 dan 2 0035(100-y) + 048y = 18 35 - 0035y + 048y = 18 y = 3258 kg So helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip X = 6742 kg

28042017 10 NIS - DKP - THP UB - 2015

Q in = Q out

Q in (T ref=0 K) a Double cream Cpdouble cream 167472(048)+41868(052)=2981 Jkg-1K Qindouble cream= mCp(Tm-Tref)

= (3258 kg)(2981 Jkg-1K)(30-0 K) = 291363096 J

b Milk Cpsusu 167472(0035)+41868(0965)=4099 Jkg-1K Qinsusu= mCp(Tm-Tref)

= (6742 kg)(4099 Jkg-1K)(50-0 K) = 829038902 J

28042017 11 NIS - DKP - THP UB - 2015

Q out Cplow fat cream 167472(018)+41868(082)=3735 Jkg-1K Qindouble cream= mCp(Tm-Tref) = 100(3735 Jkg-1K)(T-0degC)=37350(T-0degC)

Kesetimbangan energi Qindouble cream + Qinsusu= Q out low fat cream

291363096 J + 829038902 J = 37350(T-0degC)K T = (291363096 J + 829038902 J) 37350 Jkg-1 T = 4480 degC

28042017 12 NIS - DKP - THP UB - 2015

THANKS FOR YOUR ATTENTION

The best person is one give something useful always

28042017 Nur Istianah-KP1-neraca energi-2015

Page 7: ENERGY BALANCE - Universitas Brawijayanuristianah.lecture.ub.ac.id/files/2017/04/KP1_Energy-balance-of... · Using a material balance and an energy balance, a food engineering

M1 CP T1 Q1

M2 C2 T2 Q2

M3 C3 T3 Q3

M4 C4 T4 Q4

Neraca energi

An dairy industry produce 100 kg of low fat cream (18 fat 82 water ww) which the ingredients are double cream (48 fat 52 water ww) and milk(35 fat 965 water ww) If double cream 30degC was mixed with milk 50degC Calculate the final temperature of product

28042017 8 NIS - DKP - THP UB - 2015

Excercise

Double cream

30 0C

Milk 50 0C

low fat cream

28042017 9 NIS - DKP - THP UB - 2015

Solution Mass balance

m in = m out

Define double cream as y kg and milk as x kg Total mass balance y + x = 100 kg helliphelliphelliphelliphellip Eq1 Fat mass balance 0035x + 048y = 100(018) helliphelliphelliphelliphellip Eq2 Eq 1 dan 2 0035(100-y) + 048y = 18 35 - 0035y + 048y = 18 y = 3258 kg So helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip X = 6742 kg

28042017 10 NIS - DKP - THP UB - 2015

Q in = Q out

Q in (T ref=0 K) a Double cream Cpdouble cream 167472(048)+41868(052)=2981 Jkg-1K Qindouble cream= mCp(Tm-Tref)

= (3258 kg)(2981 Jkg-1K)(30-0 K) = 291363096 J

b Milk Cpsusu 167472(0035)+41868(0965)=4099 Jkg-1K Qinsusu= mCp(Tm-Tref)

= (6742 kg)(4099 Jkg-1K)(50-0 K) = 829038902 J

28042017 11 NIS - DKP - THP UB - 2015

Q out Cplow fat cream 167472(018)+41868(082)=3735 Jkg-1K Qindouble cream= mCp(Tm-Tref) = 100(3735 Jkg-1K)(T-0degC)=37350(T-0degC)

Kesetimbangan energi Qindouble cream + Qinsusu= Q out low fat cream

291363096 J + 829038902 J = 37350(T-0degC)K T = (291363096 J + 829038902 J) 37350 Jkg-1 T = 4480 degC

28042017 12 NIS - DKP - THP UB - 2015

THANKS FOR YOUR ATTENTION

The best person is one give something useful always

28042017 Nur Istianah-KP1-neraca energi-2015

Page 8: ENERGY BALANCE - Universitas Brawijayanuristianah.lecture.ub.ac.id/files/2017/04/KP1_Energy-balance-of... · Using a material balance and an energy balance, a food engineering

An dairy industry produce 100 kg of low fat cream (18 fat 82 water ww) which the ingredients are double cream (48 fat 52 water ww) and milk(35 fat 965 water ww) If double cream 30degC was mixed with milk 50degC Calculate the final temperature of product

28042017 8 NIS - DKP - THP UB - 2015

Excercise

Double cream

30 0C

Milk 50 0C

low fat cream

28042017 9 NIS - DKP - THP UB - 2015

Solution Mass balance

m in = m out

Define double cream as y kg and milk as x kg Total mass balance y + x = 100 kg helliphelliphelliphelliphellip Eq1 Fat mass balance 0035x + 048y = 100(018) helliphelliphelliphelliphellip Eq2 Eq 1 dan 2 0035(100-y) + 048y = 18 35 - 0035y + 048y = 18 y = 3258 kg So helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip X = 6742 kg

28042017 10 NIS - DKP - THP UB - 2015

Q in = Q out

Q in (T ref=0 K) a Double cream Cpdouble cream 167472(048)+41868(052)=2981 Jkg-1K Qindouble cream= mCp(Tm-Tref)

= (3258 kg)(2981 Jkg-1K)(30-0 K) = 291363096 J

b Milk Cpsusu 167472(0035)+41868(0965)=4099 Jkg-1K Qinsusu= mCp(Tm-Tref)

= (6742 kg)(4099 Jkg-1K)(50-0 K) = 829038902 J

28042017 11 NIS - DKP - THP UB - 2015

Q out Cplow fat cream 167472(018)+41868(082)=3735 Jkg-1K Qindouble cream= mCp(Tm-Tref) = 100(3735 Jkg-1K)(T-0degC)=37350(T-0degC)

Kesetimbangan energi Qindouble cream + Qinsusu= Q out low fat cream

291363096 J + 829038902 J = 37350(T-0degC)K T = (291363096 J + 829038902 J) 37350 Jkg-1 T = 4480 degC

28042017 12 NIS - DKP - THP UB - 2015

THANKS FOR YOUR ATTENTION

The best person is one give something useful always

28042017 Nur Istianah-KP1-neraca energi-2015

Page 9: ENERGY BALANCE - Universitas Brawijayanuristianah.lecture.ub.ac.id/files/2017/04/KP1_Energy-balance-of... · Using a material balance and an energy balance, a food engineering

Double cream

30 0C

Milk 50 0C

low fat cream

28042017 9 NIS - DKP - THP UB - 2015

Solution Mass balance

m in = m out

Define double cream as y kg and milk as x kg Total mass balance y + x = 100 kg helliphelliphelliphelliphellip Eq1 Fat mass balance 0035x + 048y = 100(018) helliphelliphelliphelliphellip Eq2 Eq 1 dan 2 0035(100-y) + 048y = 18 35 - 0035y + 048y = 18 y = 3258 kg So helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip X = 6742 kg

28042017 10 NIS - DKP - THP UB - 2015

Q in = Q out

Q in (T ref=0 K) a Double cream Cpdouble cream 167472(048)+41868(052)=2981 Jkg-1K Qindouble cream= mCp(Tm-Tref)

= (3258 kg)(2981 Jkg-1K)(30-0 K) = 291363096 J

b Milk Cpsusu 167472(0035)+41868(0965)=4099 Jkg-1K Qinsusu= mCp(Tm-Tref)

= (6742 kg)(4099 Jkg-1K)(50-0 K) = 829038902 J

28042017 11 NIS - DKP - THP UB - 2015

Q out Cplow fat cream 167472(018)+41868(082)=3735 Jkg-1K Qindouble cream= mCp(Tm-Tref) = 100(3735 Jkg-1K)(T-0degC)=37350(T-0degC)

Kesetimbangan energi Qindouble cream + Qinsusu= Q out low fat cream

291363096 J + 829038902 J = 37350(T-0degC)K T = (291363096 J + 829038902 J) 37350 Jkg-1 T = 4480 degC

28042017 12 NIS - DKP - THP UB - 2015

THANKS FOR YOUR ATTENTION

The best person is one give something useful always

28042017 Nur Istianah-KP1-neraca energi-2015

Page 10: ENERGY BALANCE - Universitas Brawijayanuristianah.lecture.ub.ac.id/files/2017/04/KP1_Energy-balance-of... · Using a material balance and an energy balance, a food engineering

Solution Mass balance

m in = m out

Define double cream as y kg and milk as x kg Total mass balance y + x = 100 kg helliphelliphelliphelliphellip Eq1 Fat mass balance 0035x + 048y = 100(018) helliphelliphelliphelliphellip Eq2 Eq 1 dan 2 0035(100-y) + 048y = 18 35 - 0035y + 048y = 18 y = 3258 kg So helliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip X = 6742 kg

28042017 10 NIS - DKP - THP UB - 2015

Q in = Q out

Q in (T ref=0 K) a Double cream Cpdouble cream 167472(048)+41868(052)=2981 Jkg-1K Qindouble cream= mCp(Tm-Tref)

= (3258 kg)(2981 Jkg-1K)(30-0 K) = 291363096 J

b Milk Cpsusu 167472(0035)+41868(0965)=4099 Jkg-1K Qinsusu= mCp(Tm-Tref)

= (6742 kg)(4099 Jkg-1K)(50-0 K) = 829038902 J

28042017 11 NIS - DKP - THP UB - 2015

Q out Cplow fat cream 167472(018)+41868(082)=3735 Jkg-1K Qindouble cream= mCp(Tm-Tref) = 100(3735 Jkg-1K)(T-0degC)=37350(T-0degC)

Kesetimbangan energi Qindouble cream + Qinsusu= Q out low fat cream

291363096 J + 829038902 J = 37350(T-0degC)K T = (291363096 J + 829038902 J) 37350 Jkg-1 T = 4480 degC

28042017 12 NIS - DKP - THP UB - 2015

THANKS FOR YOUR ATTENTION

The best person is one give something useful always

28042017 Nur Istianah-KP1-neraca energi-2015

Page 11: ENERGY BALANCE - Universitas Brawijayanuristianah.lecture.ub.ac.id/files/2017/04/KP1_Energy-balance-of... · Using a material balance and an energy balance, a food engineering

Q in = Q out

Q in (T ref=0 K) a Double cream Cpdouble cream 167472(048)+41868(052)=2981 Jkg-1K Qindouble cream= mCp(Tm-Tref)

= (3258 kg)(2981 Jkg-1K)(30-0 K) = 291363096 J

b Milk Cpsusu 167472(0035)+41868(0965)=4099 Jkg-1K Qinsusu= mCp(Tm-Tref)

= (6742 kg)(4099 Jkg-1K)(50-0 K) = 829038902 J

28042017 11 NIS - DKP - THP UB - 2015

Q out Cplow fat cream 167472(018)+41868(082)=3735 Jkg-1K Qindouble cream= mCp(Tm-Tref) = 100(3735 Jkg-1K)(T-0degC)=37350(T-0degC)

Kesetimbangan energi Qindouble cream + Qinsusu= Q out low fat cream

291363096 J + 829038902 J = 37350(T-0degC)K T = (291363096 J + 829038902 J) 37350 Jkg-1 T = 4480 degC

28042017 12 NIS - DKP - THP UB - 2015

THANKS FOR YOUR ATTENTION

The best person is one give something useful always

28042017 Nur Istianah-KP1-neraca energi-2015

Page 12: ENERGY BALANCE - Universitas Brawijayanuristianah.lecture.ub.ac.id/files/2017/04/KP1_Energy-balance-of... · Using a material balance and an energy balance, a food engineering

Q out Cplow fat cream 167472(018)+41868(082)=3735 Jkg-1K Qindouble cream= mCp(Tm-Tref) = 100(3735 Jkg-1K)(T-0degC)=37350(T-0degC)

Kesetimbangan energi Qindouble cream + Qinsusu= Q out low fat cream

291363096 J + 829038902 J = 37350(T-0degC)K T = (291363096 J + 829038902 J) 37350 Jkg-1 T = 4480 degC

28042017 12 NIS - DKP - THP UB - 2015

THANKS FOR YOUR ATTENTION

The best person is one give something useful always

28042017 Nur Istianah-KP1-neraca energi-2015

Page 13: ENERGY BALANCE - Universitas Brawijayanuristianah.lecture.ub.ac.id/files/2017/04/KP1_Energy-balance-of... · Using a material balance and an energy balance, a food engineering

THANKS FOR YOUR ATTENTION

The best person is one give something useful always

28042017 Nur Istianah-KP1-neraca energi-2015