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Question 1 A well-mixed tank contains on \( t=0, M=M_{0}=500 \mathrm{~kg} \) of a salt mixture, which does contain 10 \( w t \% \) of salt \( \left(c(t=0)=c_{0}\right) \). From \( t=0 \) another salt solution (of the same salt as in the tank ) is introduced into the tank with a mass-flow of \( 02 . \mathrm{kg} / \mathrm{s} \). This solution contains \( 20 \mathrm{wt} \% \) of the salt ( \( c=c_{\text {in }} \) ). The salt solution is flowing out of the tank with a mass flow of \( 0.1 \mathrm{~kg} / \mathrm{s} \). This process is schematically given in the figure below: Derive the differential equation (DE) that gives the concentration of salt in the tank as a function of time (Hint: Make 2 DE's. one for the salt solution and one for the salt). Question 2 A binary mixture of component \( A \) and \( B \), is separated in a distillation column (see figure). The feed ( \( F=100 \mathrm{~kg} / \mathrm{s} \) ) does consist of \( 60 \mathrm{wt} \% \) of \( A \). The bottom of the column ( \( B=40 \mathrm{~kg} / \mathrm{s} \) ) contains a product with \( 90 \mathrm{wt} \% \) of \( B \). Calculate the composition of the top product (T). Appendix

          Question 1
A well-mixed tank contains on \( t=0, M=M_{0}=500 \mathrm{~kg} \) of a salt mixture, which does contain 10 \( w t \% \) of salt \( \left(c(t=0)=c_{0}\right) \). From \( t=0 \) another salt solution (of the same salt as in the tank ) is introduced into the tank with a mass-flow of \( 02 . \mathrm{kg} / \mathrm{s} \). This solution contains \( 20 \mathrm{wt} \% \) of the salt ( \( c=c_{\text {in }} \) ). The salt solution is flowing out of the tank with a mass flow of \( 0.1 \mathrm{~kg} / \mathrm{s} \). This process is schematically given in the figure below:

Derive the differential equation (DE) that gives the concentration of salt in the tank as a function of time (Hint: Make 2 DE's. one for the salt solution and one for the salt).

Question 2
A binary mixture of component \( A \) and \( B \), is separated in a distillation column (see figure). The feed ( \( F=100 \mathrm{~kg} / \mathrm{s} \) ) does consist of \( 60 \mathrm{wt} \% \) of \( A \). The bottom of the column ( \( B=40 \mathrm{~kg} / \mathrm{s} \) ) contains a product with \( 90 \mathrm{wt} \% \) of \( B \). Calculate the composition of the top product (T).

Appendix

Question 1
A well-mixed tank contains on t=0, M=M0=500 kg of a salt mixture, which does contain 10 w t % of salt (c(t=0)=c0). From t=0 another salt solution (of the same salt as in the tank ) is introduced into the tank with a mass-flow of 02 . kg / s. This solution contains 20 wt% of the salt ( c=cin ). The salt solution is flowing out of the tank with a mass flow of 0.1 kg / s. This process is schematically given in the figure below:

Derive the differential equation (DE) that gives the concentration of salt in the tank as a function of time (Hint: Make 2 DE's. one for the salt solution and one for the salt).

Question 2
A binary mixture of component A and B, is separated in a distillation column (see figure). The feed ( F=100 kg / s ) does consist of 60 wt% of A. The bottom of the column ( B=40 kg / s ) contains a product with 90 wt% of B. Calculate the composition of the top product (T).

Appendix

Added by John D.

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