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200.0kg/h of liquid product with 10.0% solids and the remainder water is blended

ID: 876104 • Letter: 2

Question

200.0kg/h of liquid product with 10.0% solids and the remainder water is blended with a 20.0kg/h paste before being concentrated to obtain a product with 15.0wt% solids and 15.0wt% paste.
How do I determine the mass flow rate and the mass of water in kg/h being removed during concentration? 200.0kg/h of liquid product with 10.0% solids and the remainder water is blended with a 20.0kg/h paste before being concentrated to obtain a product with 15.0wt% solids and 15.0wt% paste.
How do I determine the mass flow rate and the mass of water in kg/h being removed during concentration?
How do I determine the mass flow rate and the mass of water in kg/h being removed during concentration?

Explanation / Answer

Mass flow rate = 15 wt% solids (10% of 200 kg/h) + 15 wt% paste (90% of 200 kg/h + 20 kg/h)

= 15/100 (10/200) + 15/100 ( (90x 200 )/100 + 20)

= 0.15 x 0.05 + 0.15 x (180 + 20)

= 30.0075 kg/h

Mass of water = 90% of 200 kg

= 180 kg