Question

693.8 kg of a mixture containing 40% of A and 60% of B on a mass basis are fed into the distillation column. The mass of a distillate (top product) was found to be 245 kg. The bottom stream product has mass % of A equal to 35%. what is the mass fraction of A in the distillate stream? Report in decimal format such as e. g. 0.435

pls help asap! thanks

Answer 1

The mass fraction of A in the distillate stream is approximately 0.1414.

Step-by-step explanation:

To find the mass fraction of A in the distillate stream, we need to calculate the mass of A in the distillate stream. We can start by finding the mass of A in the mixture:

Mass of A in mixture = 693.8 kg x 40% = 277.52 kg

Next, we can find the mass of A in the bottom stream product:

Mass of A in bottom stream = 693.8 kg x 35% = 242.83 kg

Finally, we can find the mass of A in the distillate stream by subtracting the mass of A in the bottom stream from the mass of A in the mixture:

Mass of A in distillate stream = 277.52 kg - 242.83 kg = 34.69 kg

To find the mass fraction of A in the distillate stream, we divide the mass of A in the distillate stream by the mass of the distillate stream:

Mass fraction of A in the distillate stream = 34.69 kg / 245 kg ≈ 0.1414