Casein, a dairy product used in making cheese, contains 25% moisture when wet. A dairy sells this product for $40/100 kg. If req

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Casein, a dairy product used in making cheese, contains 25% moisture when wet. A dairy sells this product for $40/100 kg. If req

uested, they will dry the casein to 12% moisture. The drying costs are $5/100 kg of water removed. Assume that that the dairy has 1000 kg of the original product (wet casein) that will be dried to 12% moisture and then sold. How much dried casein is produced (in kg)?
The answer is 852 (with margin 1). Why is it?

Engineering

1 answer:

Nataly_w [17] · Answer 1 · 2023-03-18T19:26:22+03:00

Based on the percent moisture content of the dried product, the mass of dried casein produced os 852.3 kg.

<h3>What is the mass of casein in wet casein?</h3>

The mass of casein in 1000 Kg of wet casein is 75% 1000 kg = 750 Kg

Mass of water 250 kg

The mass of casein is constant while the moisture content can be changed.

At 12% moisture content;

750 kg = 88%%

100 % = 100 ×750/88 = 852.27 kg

Therefore, the mass of dried casein produced os 852.3 kg.

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