A brine solution containing 21.59% NaCl by mass is mixed with a weaker solution containing 2.22% NaCl. Determine the mass flow rate of the weaker solution needed to be mixed with 97.4 kg/h of the 21.59% NaCl solution to produce an 11.67% NaCl product.

Type your answer in kg/h, rounded to 2 decimal places.

The mass flow rate of the weaker solution needed to be mixed with 97.4 kg/h of the 21.59% NaCl solution to produce a 11.67% NaCl product is 82.13 kg/h

To determine the mass flow rate of the weaker solution needed to be mixed with 97.4 kg/h of the 21.59% NaCl solution to produce a 11.67% NaCl product, we need to use the mass balance equation. The mass balance equation is given as:mass of component entering = mass of component leaving

The mass flow rate of the weaker solution needed can be found as:Mass flow rate of the weaker solution = Mass flow rate of the product - Mass flow rate of the strong solution

So, we need to determine the mass flow rate of the product and the mass flow rate of the strong solution separately.Mass flow rate of the product:Let the mass flow rate of the product be x.

Then, we can write:x = 97.4 + yHere, y is the mass flow rate of the weaker solution.Mass flow rate of the strong solution:We know that the mass flow rate of the strong solution is 97.4 kg/h.Mass balance equation:We know that the amount of NaCl in the product is the sum of the amounts of NaCl in the strong and weak solutions.

So, we can write:0.1167x = 0.2159 × 97.4 + 0.0222y

Simplifying and substituting x = 97.4 + y, we get:0.1167(97.4 + y) = 21.059 + 0.0222y0.1136y = 9.332y = 82.126 kg/h

Therefore, the mass flow rate of the weaker solution needed to be mixed with 97.4 kg/h of the 21.59% NaCl solution to produce a 11.67% NaCl product is 82.13 kg/h (to 2 decimal places).

Learn more about flow rate here,

https://brainly.com/question/31391370

#SPJ11