the process for producing dried mashed potato flakes involves mixing wet mashed potatoes with dried flakes in a 95:5 weight ratio and passing the mixture through a granulator before drying it on a drum dryer. the cooked potatoes, after mashing, contain 82 % water and the dried flakes contain 3 % water. calculate: the amount (mass) of water that must be removed by the dryer for every 100 kg of dried flakes produced. the moisture content of the granulated paste fed to the dryer.
1) To calculate the amount (mass) of water that must be removed by the dryer for every 100 kg of dried flakes produced:
First, we need to find out how much wet mashed potatoes are needed to produce 100 kg of dried flakes.
Let wet_mashed_weight be the total weight of the wet mashed potatoes.
We have 100 kg of dried flakes needed, so the equation to find the wet mashed potatoes weight will be:
wet_mashed_weight * 0.05 = 100 kg
wet_mashed_weight = 100 kg / 0.05
wet_mashed_weight = 2000 kg
It means that we need 2000 kg of wet mashed potatoes to produce 100 kg of dried flakes.
Now we need to calculate the amount of water in 2000 kg of wet mashed potatoes:
water_in_wet_mashed = wet_mashed_weight * 0.82
water_in_wet_mashed = 2000 kg * 0.82
water_in_wet_mashed = 1640 kg
Next, we need to find out the amount of water in 100 kg of dried flakes:
water_in_dried_flakes = 100 kg * 0.03
water_in_dried_flakes = 3 kg
Finally, we can find the amount of water that must be removed by the dryer:
water_removed_by_dryer = water_in_wet_mashed - water_in_dried_flakes
water_removed_by_dryer = 1640 kg - 3 kg
water_removed_by_dryer = 1637 kg
So, 1637 kg of water must be removed by the dryer for every 100 kg of dried flakes produced.
2) To calculate the moisture content of the granulated paste fed to the dryer:
The total weight of the paste that goes through the dryer is the combined weight of the wet mashed potatoes and the dried flakes:
paste_weight = wet_mashed_weight + 100 kg
paste_weight = 2000 kg + 100 kg
paste_weight = 2100 kg
Now calculate the total water content of the granulated paste:
paste_water_content = water_in_wet_mashed + water_in_dried_flakes
paste_water_content = 1640 kg + 3 kg
paste_water_content = 1643 kg
Finally, calculate the moisture content of the granulated paste:
moisture_content = (paste_water_content / paste_weight) * 100
moisture_content = (1643 kg / 2100 kg) * 100
moisture_content ≈ 78.24 %
The moisture content of the granulated paste fed to the dryer is approximately 78.24%.