science

Mogden formula

Mogden formula is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Mogden formula rather than just read about it. In short: In the sewage treatment, the Mogden formula is a pricing strategy used to estimate the difficulty in treating industrial wastewater. It is named after Mogden Sewage Treatment Works.

Key takeaways

Mogden formula belongs to science; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Mogden formula to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Mogden formula from memory before moving on to harder problems.

Reference excerpt

In the sewage treatment, the Mogden formula is a pricing strategy used to estimate the difficulty in treating industrial wastewater. It is named after Mogden Sewage Treatment Works. The Mogden formula calculates cost as a combination (empirical coefficients) of volume, strength in terms of normal treatment oxidation demand and the suspended solids proportion. Applicable to the whole works, it also approximates the cost for tested industrial waste water that may, if treatable, be lawfully sent to a regular sewage works. The Mogden formula is:

C = R + [(V + Bv) or M] + B(Ot/Os) + S(St/Ss) where:

C = charge per volume of effluent (£/m3) R = reception and conveyance charge [£/m3] V = primary treatment (volumetric) charge [£/m3] Bv = additional volume charge for biological treatment [£/m3] M = treatment and disposal charge where effluent goes to sea outfall [£/m3] B = biological oxidation of settled sewage charge [£/m3] Ot = chemical oxygen demand (COD) of effluent after one hour of quiescent settlements at pH 7 [mg/litre] Os = chemical oxygen demand (COD) of effluent after one hour of quiescent settlement [mg/litre] S = treatment and disposal of primary sewage sludge charge [£/m3 or £/kg] St = total suspended solids of effluent at pH 7 [mg/litre] Ss = total suspended solids of effluent [mg/litre] Thus the less biologically friendly the effluent (see wastewater quality indicators including pH), and more solid-laden, the higher the charge should be for treating the lawful effluent.

References

Worked examples

Example 1 — a first encounter with Mogden formula

Start with the simplest possible case. Write down what Mogden formula claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Mogden formula before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Mogden formula ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Mogden formula

In research: Mogden formula appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Mogden formula in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Mogden formula is common in secondary-school and first-year university syllabi. It links to neighbouring topics Sewerage, so understanding it makes those chapters shorter.
In everyday life: Look for Mogden formula outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Mogden formula in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Mogden formula means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Mogden formula out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Mogden formula in simple terms?

In the sewage treatment, the Mogden formula is a pricing strategy used to estimate the difficulty in treating industrial wastewater. It is named after Mogden Sewage Treatment Works.

Why does Mogden formula matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Mogden formula?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Mogden formula.