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Tcecarenko
8 days ago
13

liquid product with 10% product solids is blended withsugar before being concentrated (removal of water) to obtaina final produc

t with 15% product solids and 15% sugarsolids. Determine the quantity of final product obtainedfrom 200 kg of liquid product. How much sugar is required?Compute mass of water removed during con
Mathematics
1 answer:
lawyer [4K]8 days ago
7 0

Answer:

The mass of the water removed is 66.67 kg

Step-by-step explanation:

Given data

The solids blended with sugar make up 10%.

Final product achieved = 15% product.

Final product contains = 15% sugar solids.

The initial product weighs = 200 kg

Solution

Here, we find the needed sugar amount as follows:

The amount of sugar required = 200 × \frac{10}{100}

Thus, the needed sugar = 20 kg

We recognize that total solids = product solids + sugar solids...............1

Also, the initial product equals the final product.

So,

0.20 × 200kg= 0.30 × total mass of the final product

The mass of the final product = 133.33 kg

However,

the final product contains 15% product solids and 15% sugar solids, which means that the amount of product solids equals the sugar solids.

Thus, the mass of water removed = 200 kg - 133.33 kg.

The mass of the water removed is 66.67 kg.

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