A well mixed 10m³ closed mixing tank at 18C is usedto dilute 100kg/min of a 2.0% by mass NaClO₃ solution toa 0.60% solution by adding water.

Part 1) What is the mass flowrate of water into the tank neededat steady-state to accomplish this dilution?

Part 2) You notice that some gas bubbles appear in the effluent,and after some additional literature reading, hypothesize thatNaCl₃ is decomposing to NaCl and O₂ insidethe tank because of impurities in its walls. You do not have anoxygen detector handy and so decide to build a 0.5m³chamber above the tank to collect all the gas generated. Initiallythe pressure (absolute) in this collection chamber is 760mmHg.After five minutes you measure the pressure to be 1320mmHg.

a) if your hypothesis is correct, what is the mass rate ofoxygen generation?

b) assuming that the NaCl₃ solution flowing in andthe NaCl₃/NaCl solution flowing out each have a densityof 1.0g/mL (which will be within 1% of truth), what is theconcentration (g/L) of NaCl in the effluent?

c) if a portion of water from the effluent were evaporatedwithout any additional decomposition occuring, what would be thepurity of the NaClO₃?

d) after more literature reading, you believe that the rateof  NaClO₃ decomposition is directlyproportional to the molar concentrationof  NaClO₃ in the tank and the tank volume,Based on this hypothesis, determine the value of theproportionality constant, thereby obtaining a general expressionfor the rate of  NaClO₃ decomposition.

Part 3) The dilution water has been flowing andthe  NaClO₃ decomposing at steady state rate.suddenly, the valve controlling the flow of dilution watermalfunctions and closes, halting its flow. assuming the densitiesof all the solutions are approximately the same, how much timepasses before the concentration of  NaClO₃ inthe effluent exceeds 1%?