Question

A new aerated sewage lagoon is required in a small town. Earlier this year one was built on a similar site in an adjacent city for $2.3 million. The new lagoon will be 60% larger. Use the power sizing exponent 1.13 to estimate the cost of the new lagoon.Equipment or Facility Size Range Power- Sizing ExponentBlower, centrifugal 10,000- 100,000 ft^3/min 0.59Compressor 200-2100 hp 0.32Crystallizer, vacuum batch 500-7000 ft^2 0.37 Dryer, drum, single atmospheric 10-100 ft^2 0.4Fan, centrifugal 20,000-70,000 ft^3/min 1.17Fitter, vacuum rotary drum 10-1500 ft^2 0.48Lagoon, aerated 0.05-20 million gal/day 1.13Motor 5-20 hp 0.69Reactor, 300 psi 10-1000 gal 0.56Tank, atmospheric, horizontal 100-40,000 0.57

Answer 1

The answer is "4.05 Million".

Step-by-step explanation:

Formula:

`\text{New Lagoon Cost = cost * size^y}`
`\text{New Lagoon Cost} = cost * size^y` Where y is the exponent for power-sizing

`= \$ 2.3 * (1.65)^(1.13)\\\\ =\$ 2.3 * 1.76098987\\\\ = 4.0502767\ \ OR \ \ 4.05`

The Lagoon carbonated power portion from the given table is 1.13, that's why the final answer is "$ 4.05 million"