According to Kuichling’s formula, the fire demand (Q) in liters/minute is given by
- AQ = 1135((P/5) +10)
- BQ = 2500((P/5) + 10)
- CQ = 5665√P
- DQ = 3182√PCorrect
Solution
Concept
Kuichling formula for estimating fire demand
Formula
Q = 3182 × √(P)
Step-by-step solution
1. Kuichling's formula is an empirical relation used to estimate water demand for fire fighting based on population. 2. In this formula, population P is expressed in thousands and fire demand Q is expressed in liters per minute. 3. The mathematical expression given by Kuichling is Q = 3182 × √(P). Answer: D
Explanation
Kuichling's empirical formula is widely used in water supply engineering to estimate required fire flow based on population size. In this formula, Q represents the fire demand in liters per minute, and P represents the population in thousands. The empirical expression is defined specifically as Q equals 3182 multiplied by the square root of P.
Why the other options are wrong
A) Q = 1135((P/5) + 10) is the National Board of Fire Underwriters formula. B) Q = 2500((P/5) + 10) is an incorrect mathematical variation and not Kuichling's formula. C) Q = 5665√P represents Freeman's formula for fire demand.
Shortcut
Kuichling's fire demand formula: Q = 3182√P.
Common mistake
Confusing Kuichling's formula for fire demand with Buston's or Freeman's formulas.
Correct answer: D) Q = 3182√P