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Technological Institute of the Philippines
ENERGY
BALANC
Technological Institute of the Philippines
Technological Institute of the Philippines
Technological Institute of the Philippines
ENERGY BALANCE AROUND PREHEATER 1
Inlet
Temperature,
Components Mass, kg
K
Molasses
31555.548
310.15
Inlet
Temperature,
Components Mass, kg
K
Molasses
31555.548
338.65
Determined from www.EngineeringToolBox.com
𝐾𝐽
Cp of Molasses = 2.093 × 10βˆ’3 πΎπ‘”βˆ’πΎ
The Heat (Q) Around the Pre heater is:
𝑇2
Q = βˆ«π‘‡1 π‘šπΆπ‘π‘‘π‘‡
338.65 𝐾
= ∫310.15 𝐾 31555.548 𝐾𝑔 × 2.093 × 10βˆ’3
= 1,882.30 KJ
Determined from www.EngineeringToolBox.com
Latent Heat of Vaporization of Water = 2256
𝐾𝐽
𝐾𝑔
The mass of water required in the Pre heater:
Amount of water =
=
𝑄
π‘™π‘Žπ‘‘π‘’π‘›π‘‘ β„Žπ‘’π‘Žπ‘‘ π‘œπ‘“ π‘£π‘Žπ‘π‘œπ‘Ÿπ‘–π‘§π‘Žπ‘‘π‘–π‘œπ‘›
1882.30 KJ
𝐾𝐽
2256 𝐾𝑔
= 0.83 Kg of Water
𝐾𝐽
πΎπ‘”βˆ’πΎ
𝑑𝑇
Technological Institute of the Philippines
ENERGY BALANCE AROUND PREHEATER 2
Inlet
Temperature,
Components Mass, kg K
Nitric Acid
66266.65
293.15
Outlet
Temperature,
Components Mass, kg K
Nitric Acid
66266.65
338.65
Determined from Table 2-166, Perry’s Handbook 8th Edition
Cp of Nitric Acid = 2.6272
𝐾𝐽
πΎπ‘”βˆ’πΎ
The Heat (Q) Around the Pre heater is:
𝑇2
Q = βˆ«π‘‡1 π‘šπΆπ‘π‘‘π‘‡
338.65 𝐾
= ∫293.15 𝐾 66,266.65 𝐾𝑔 × 2.6272
𝐾𝐽
πΎπ‘”βˆ’πΎ
= 7,921,356. 40 KJ
Determined from www.EngineeringToolBox.com
Latent Heat of Vaporization of Water = 2256
𝐾𝐽
𝐾𝑔
The mass of water required in the Pre heater:
Amount of water =
=
𝑄
π‘™π‘Žπ‘‘π‘’π‘›π‘‘ β„Žπ‘’π‘Žπ‘‘ π‘œπ‘“ π‘£π‘Žπ‘π‘œπ‘Ÿπ‘–π‘§π‘Žπ‘‘π‘–π‘œπ‘›
7,921,356.40 KJ
𝐾𝐽
2256 𝐾𝑔
= 3,511.24 Kg of Water
𝑑𝑇
Technological Institute of the Philippines
ENERGY BALANCE AROUND REACTOR 1 (CSTR)
Mass, Inlet
Components Kg
Temperature
Vanadium
Pentoxide
63.77
338.65
Mass,
Outlet
Components Kg
Temp
Nitrogen
Oxide
23666.4 338.65
Inlet
Components Mass, Kg Temperature
Nitric Acid
66266.65
338.65
Inlet
Components Mass, Kg
Temperature
Molasses
31555.548
338.65
Components
Unreacted
Molasses
Unreacted
Nitric Acid
Vanadium
Pentoxide
Water
Oxalic Acid
Mass, Kg
78888.86
16566.66
63.77
14199.84
35500
Reaction Involved:
C6H12O6 + 6HNO3 οƒ  3C2H2O4 + 6NO + 6H2O
Determined from www.EngineeringToolBox.com
𝐾𝐽
Cp of Molasses = 2.093 × 10βˆ’3 πΎπ‘”βˆ’πΎ
𝐾𝐽
Cp of Water = 24.1879 πΎπ‘”βˆ’πΎ
𝐾𝐽
Cp of Nitric Oxide = 0.995 πΎπ‘”βˆ’πΎ
Outlet
Temperature
338.65
Technological Institute of the Philippines
Determined from https://webbook.nist.gov
𝐾𝐽
Cp of Oxalic Acid = 1.6222 πΎπ‘”βˆ’πΎ
Determined from Table 2-166, Perry’s Handbook 8th Edition
Cp of Nitric Acid = 2.6272
𝐾𝐽
πΎπ‘”βˆ’πΎ
βˆ†π»π‘Ÿπ‘₯𝑛 = βˆ†π»π‘Ÿπ‘₯𝑛° + βˆ†π»π‘π‘Ÿπ‘œπ‘‘π‘’π‘π‘‘ βˆ’ βˆ†π»π‘Ÿπ‘’π‘Žπ‘π‘‘π‘Žπ‘›π‘‘
Total Heat of reactant
𝐾𝐽
HMolasses = 31,555.548 Kg × 2.093 × 10βˆ’3 πΎπ‘”βˆ’πΎ × 338.65𝐾
= 22,366.40 KJ
HNitric Acid = 66,266.65Kg × 2.6272
𝐾𝐽
× 338.65𝐾
πΎπ‘”βˆ’πΎ
= 58,957,524.04 KJ
Hreactant = 22,366.40 KJ + 58,957,524.04 KJ
= 58,979,890.44 KJ
Total Heat of Product
𝐾𝐽
HUnreacted Molasses = 78,888.86Kg × 2.093 × 10βˆ’3 πΎπ‘”βˆ’πΎ × 338.65𝐾
= 55,915.99 KJ
HUnreacted Nitric Acid = 16566.66Kg × 2.6272
𝐾𝐽
× 338.65𝐾
πΎπ‘”βˆ’πΎ
= 14,739,381.01KJ
Hwater = 14199.84 Kg × 4.1879
= 20,138,672.24 KJ
𝐾𝐽
πΎπ‘”βˆ’πΎ
× 338.65𝐾
Technological Institute of the Philippines
𝐾𝐽
HOxalic Acid = 35500 Kg × 1.6222 πΎπ‘”βˆ’πΎ × 338.65𝐾
= 19,502,210.07 KJ
HNO = 23,666.4 Kg × 0.995
𝐾𝐽
× 338.65𝐾
πΎπ‘”βˆ’πΎ
= 7,974,553.23 KJ
Hproduct = 55,915.99 KJ + 14,739,381.01 𝐾𝐽 + 20,138,672.24𝐾𝐽 +
19,502,210.07 𝐾𝐽 + 7,974,553.23 𝐾𝐽
=62,410,732.53KJ
Q Heat = Hproduct – H reactant
= 62,410,732.53KJ - 58,979,890.44 KJ
= 3430842.093 KJ
Technological Institute of the Philippines
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