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

Answers

Answer 1

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

What is the mass of casein in wet casein?

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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Related Questions

A 90° elbow in a horizontal pipe is used to direct water flow upward at a rate of 45 kg/s. Another identical elbow is attached to the existing elbow such that the water flow makes a U-turn as shown in the second figure. The diameter of the entire elbow is 10 cm. The elbow discharges water into the atmosphere, and thus the pressure at the exit is the local atmospheric pressure. The elevation difference between the centers of the exit and the inlet of the elbow is 50 cm. The weight of the elbow and the water in it is considered to be negligible. Take the momentum-flux correction factor to be 1.03 at both the inlet and the outlet. Take the density of water to be 1000 kg/m3.

Answers

When a liquid flows in a horizontal pipe, the force component in horizontal direction is 650 N.

What is force?

The force which acts on the liquid depends upon the density of fluid, it volume and acceleration due to gravity.

Given, mass flow rate m = 45 kg/s, D1 =D2 =10cm, density ρ =1000 kg/m³ and momentum flux correction factor is K =1.03.

Using the Bernoulli's theorem, we have

P1/ρg +V1²/2g +z1 =P2/ρg +V2²/2g +z2

P1/ ρg =z2 - z1  = 0.5 m

P1 = 4.905kPa

The force in horizontal direction is

Fx = P1A1 +ρQ(V1 - V2cosθ) x K

here θ =180°

ρAV1 =m =45

1000 x π/4x (0.1)² x V1 =45

V1 = 5.732 m/s

Fx =(4.905 x π/4 x 0.1²) x 10³ + 42 x 5.732 x 2

Fx = 650N

Thus, the force component in horizontal direction is 650N.

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Linkage-style clutch control systems use a system of _______ between the clutch pedal and the clutch fork.

Answers

Linkage-style clutch control systems use a system of levers, cables, and rods between the clutch pedal and the clutch fork.

What is a clutch?

A clutch can be defined as a mechanical device that is designed and developed to play the role of engaging and disengaging power transmission in the input shaft, so that the speed of input shaft can be changed as necessary.

In Mechanical engineering, linkage-style clutch control systems can use a system of levers, cables, and rods between the clutch pedal and the clutch fork.

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