A Guide to Mass transfer equations By: Ahmed Al-Marjibi

X This program is targeted toward junior chemical engineering student and students taking a heat and mass transfer class.

X Choose contactor type Tank Tubular

Choose one of the 3 main tank type mass contactors X Choose one of the 3 main tank type mass contactors Batch Semi-Batch Continuous (Choose One)

Tank type Continuous Contactor X Tank type Continuous Contactor (Choose one) phase balance 𝑪 𝑨 𝑰 𝑪 𝑨 𝑰𝑰 𝑽 𝑰𝑰 Back to tank type list

Tank type Continuous Contactor: Phase balance X Tank type Continuous Contactor: Phase balance 0= 𝑞 𝐼 𝐶 𝐴𝐹 𝐼 − 𝐶 𝐴 𝐼 − 𝑘 𝑚 𝑎( 𝐶 𝐴 𝐼 −𝑀 𝐶 𝐴 𝐼𝐼 ) 0= 𝑞 𝐼𝐼 𝐶 𝐴𝐹 𝐼𝐼 − 𝐶 𝐴 𝐼𝐼 + 𝑘 𝑚 𝑎( 𝐶 𝐴 𝐼 −𝑀 𝐶 𝐴 𝐼𝐼 ) Back

Tank type Continuous Contactor: 𝐶 𝐴 𝐼 X Tank type Continuous Contactor: 𝐶 𝐴 𝐼 𝐶 𝐴 𝐼 =𝑀 𝐶 𝐴𝐹 𝐼 +𝜆 𝐶 𝐴𝐹 𝐼𝐼 𝜆+𝑀 Back

Tank type Continuous Contactor: 𝐶 𝐴 𝐼𝐼 X Tank type Continuous Contactor: 𝐶 𝐴 𝐼𝐼 𝐶 𝐴 𝐼𝐼 = 𝐶 𝐴𝐹 𝐼 +𝜆 𝐶 𝐴𝐹 𝐼𝐼 𝜆+𝑀 Back

Tank type Continuous Contactor: 𝑉 𝐼𝐼 X Tank type Continuous Contactor: 𝑉 𝐼𝐼 𝑉 𝐼𝐼 = 𝑎𝑑 6 Back

Tank type semi-Batch Contactor X Tank type semi-Batch Contactor (Choose one) Overall phase balance Phase I Energy balance Phase II Energy balance Back to tank type list

Tank type semi-Batch Contactor: overall phase balance X Tank type semi-Batch Contactor: overall phase balance 𝑑 𝑑𝑡 𝐶 𝐴 𝐼 𝑉 𝐼 + 𝑑 𝑑𝑡 𝐶 𝐴 𝐼𝐼 𝑉 𝐼𝐼 = 𝑞 𝐼𝐼 ( 𝐶 𝐴𝐹 𝐼𝐼 − 𝐶 𝐴 𝐼𝐼 ) Back

Tank type semi-Batch Contactor: Phase I energy balance X Tank type semi-Batch Contactor: Phase I energy balance 𝑑 𝑑𝑡 𝐶 𝐴 𝐼 𝑉 𝐼 =− 𝑘 𝑚 𝑎 𝐶 𝐴 𝐼 −𝑓( 𝐶 𝐴 𝐼𝐼 ) Back

Tank type semi-Batch Contactor: Phase II energy balance X Tank type semi-Batch Contactor: Phase II energy balance 𝑑 𝑑𝑡 𝐶 𝐴 𝐼𝐼 𝑉 𝐼𝐼 = 𝑘 𝑚 𝑎 𝐶 𝐴 𝐼 −𝑓( 𝐶 𝐴 𝐼𝐼 ) + 𝑞 𝐼𝐼 ( 𝐶 𝐴𝐹 𝐼𝐼 − 𝐶 𝐴 𝐼𝐼 ) Back

Tank type Batch Contactor X Tank type Batch Contactor (Choose a variable) phase balance 𝑪 𝑨 𝑰 𝑪 𝑨,𝒆𝒒 𝑰𝑰 𝑽 𝑰𝑰 Back to tank type list

Tank type Batch Contactor: phase balance X Tank type Batch Contactor: phase balance 𝑑 𝐶 𝐴 𝐼 𝑉 𝐼 𝑑𝑡 =− 𝑘 𝑚 𝑎 ( 𝐶 𝐴 𝐼 −𝑀 𝐶 𝐴 𝐼𝐼 ) 𝑑 𝐶 𝐴 𝐼𝐼 𝑉 𝐼𝐼 𝑑𝑡 = 𝑘 𝑚 𝑎 ( 𝐶 𝐴 𝐼 −𝑀 𝐶 𝐴 𝐼𝐼 ) Back

Tank type Batch Contactor: 𝐶 𝐴 𝐼 X Tank type Batch Contactor: 𝐶 𝐴 𝐼 𝐶 𝐴 𝐼 𝑡 = 𝐶 𝐴,𝑒𝑞 𝐼 − 𝐶 𝐴,𝑒𝑞 𝐼 − 𝐶 𝐴,𝑖 𝐼 𝑒 −𝛽𝑡 𝐶 𝐴,𝑒𝑞 𝐼 =𝑀 𝐶 𝐴,𝑖 𝐼 + 𝐶 𝐴,𝑖 𝐼𝐼 1+𝑀 𝛽= 𝑘 𝑚 𝑎 𝑉 (1+𝑀) Back

Tank type Batch Contactor: 𝐶 𝐴,𝑒𝑞 𝐼𝐼 X Tank type Batch Contactor: 𝐶 𝐴,𝑒𝑞 𝐼𝐼 𝐶 𝐴,𝑒𝑞 𝐼𝐼 = 𝑉 𝐼 𝐶 𝐴 𝐼 + 𝑉 𝐼𝐼 𝐶 𝐴 𝐼𝐼 𝑀 𝑉 𝐼 + 𝑉 𝐼𝐼 Back

Tank type Batch Contactor: 𝑉 𝐼𝐼 X Tank type Batch Contactor: 𝑉 𝐼𝐼 𝑉 𝐼𝐼 𝑡 = 𝑉 𝑖 𝐼𝐼 1 3 − 𝑘 𝑚 𝛼 𝑁 1 3 𝐶 𝐴,𝑠𝑎𝑡 𝐼 3 𝜌 𝐼𝐼 t 3 Back

Choose one of the 2 main tubular type mass contactors X Choose one of the 2 main tubular type mass contactors Co-Current Counter-Current (Choose One)

Counter-Current tubular type mass contactor X Counter-Current tubular type mass contactor (Choose a variable) phase balance 𝑪 𝑨 𝑰 𝑪 𝑨 𝑰𝑰 Back to tubular type list

Counter-Current tubular type mass contactor: Phase Balance X Counter-Current tubular type mass contactor: Phase Balance 0=− 𝑑 𝑑𝑧 𝑞 𝐼 𝐶 𝐴 𝐼 − 𝑘 𝑚 𝑎 𝑣 𝐴 𝑐 ( 𝐶 𝐴 𝐼 −𝑀 𝐶 𝐴 𝐼𝐼 ) 0= 𝑑 𝑑𝑧 𝑞 𝐼𝐼 𝐶 𝐴 𝐼𝐼 + 𝑘 𝑚 𝑎 𝑣 𝐴 𝑐 ( 𝐶 𝐴 𝐼 −𝑀 𝐶 𝐴 𝐼𝐼 ) Back

Counter-Current tubular type mass contactor: 𝐶 𝐴 𝐼 X Counter-Current tubular type mass contactor: 𝐶 𝐴 𝐼 𝐶 𝐴 𝐼 𝑧 =𝑀 𝜆 𝐶 𝐴𝐹 𝐼𝐼 − 𝑒 −𝛽𝐿 𝐶 𝐴𝐹 𝐼 𝜆−𝑀 𝑒 𝛽𝐿 +𝜆 𝐶 𝐴𝐹 𝐼 −𝑀 𝐶 𝐴𝐹 𝐼 𝜆−𝑀 𝑒 −𝛽𝐿 𝑒 −𝛽𝑧 𝛽= 𝑘 𝑚 𝑎 𝑞 𝐼𝐼 𝐿 (𝜆−𝑀) Back

Counter-Current tubular type mass contactor: 𝐶 𝐴 𝐼𝐼 X Counter-Current tubular type mass contactor: 𝐶 𝐴 𝐼𝐼 𝐶 𝐴 𝐼𝐼 = 𝐶 𝐴𝐹 𝐼𝐼 + 𝑞 𝐼 𝑞 𝐼𝐼 (𝐶 𝐴𝐹 𝐼 − 𝐶 𝐴 𝐼 ) Back

Co-Current tubular type mass contactors X Co-Current tubular type mass contactors (Choose a variable) phase balance 𝑪 𝑨 𝑰 𝑪 𝑨 𝑰𝑰 𝑪 𝑨,𝒆𝒒 𝑰 , 𝑪 𝑨,𝒆𝒒 𝑰𝑰 Back to tubular type list

Co-Current tubular type mass contactors: phase balance X Co-Current tubular type mass contactors: phase balance 0=− 𝑑 𝑑𝑧 𝑞 𝐼 𝐶 𝐴 𝐼 − 𝑘 𝑚 𝑎 𝑣 𝐴 𝑐 ( 𝐶 𝐴 𝐼 −𝑀 𝐶 𝐴 𝐼𝐼 ) 0=− 𝑑 𝑑𝑧 𝑞 𝐼𝐼 𝐶 𝐴 𝐼𝐼 + 𝑘 𝑚 𝑎 𝑣 𝐴 𝑐 ( 𝐶 𝐴 𝐼 −𝑀 𝐶 𝐴 𝐼𝐼 ) Back

Co-Current tubular type mass contactors: 𝑪 𝑨 𝑰 X Co-Current tubular type mass contactors: 𝑪 𝑨 𝑰 𝐶 𝐴 𝐼 𝑧 = 𝑀 𝑀+𝜆 𝐶 𝐴𝐹 𝐼 +𝜆 C AF II + 𝜆 𝑀+𝜆 𝐶 𝐴𝐹 𝐼 −𝜆 C AF II e −β𝑧 𝛽= 𝑘 𝑚 𝑎 𝑞 𝐼𝐼 𝐿 𝜆+𝑀 Back

Co-Current tubular type mass contactors: 𝑪 𝑨 𝑰𝑰 X Co-Current tubular type mass contactors: 𝑪 𝑨 𝑰𝑰 𝐶 𝐴 𝐼𝐼 𝑧 = 1 𝑀+𝜆 𝐶 𝐴𝐹 𝐼 +𝜆 C AF II + 1 𝑀+𝜆 𝐶 𝐴𝐹 𝐼 −𝜆 C AF II e −β𝑧 𝛽= 𝑘 𝑚 𝑎 𝑞 𝐼𝐼 𝐿 𝜆+𝑀 Back

Co-Current tubular type mass contactors: 𝑪 𝑨,𝒆𝒒 𝑰 , 𝑪 𝑨,𝒆𝒒 𝑰𝑰 X Co-Current tubular type mass contactors: 𝑪 𝑨,𝒆𝒒 𝑰 , 𝑪 𝑨,𝒆𝒒 𝑰𝑰 𝐶 𝐴,𝑒𝑞 𝐼𝐼 = 𝐶 𝐴 𝐼 +𝜆 𝐶 𝐴𝐹 𝐼𝐼 𝜆+𝑀 𝐶 𝐴,𝑒𝑞 𝐼 =𝑀 𝐶 𝐴,𝑒𝑞 𝐼𝐼 Back

Thank you for using the app By: Ahmed Al-Marjibi