Many cereals are made with high moisture content so that the cereal can be formed into various shapes before it is dried. A cereal product containing 57% by mass is produced at the rate of 1000. kg/h. How much water must be evaporated per hour if the final product contains only 21% water

278.482 kilograms of water must be evaporated each hour.

Step-by-step explanation:

Initial mass of cereal is equal to the product of cereal mass-to-mass ratio and total mass flow:

Where:

- Inlet cereal mass flow, measured in kilograms per hour.

- Inlet cereal mass ration, dimensionless.

- Cereal product mass flow, measured in kilograms per hour.

If and , then:

The initial mass flow of water is:

Given that final total mass flow contains only 21 % water, the final water mass flow, measured in kilograms per hour, is:

(, )

Finally, the amount of water that must be evaporated per hour is:

278.482 kilograms of water must be evaporated each hour.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.