# Need useful ways to express "parts per million"

**URL:** <https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955>\
**Category:** Miscellaneous and Personal Stuff I Must Share\
**Created:** [March 3, 2018, 6:15am UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955 "2018-03-03T06:15:52Z")\
**Posts on this page:** 20\
**Page:** 1

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**Author:** ![Velocity](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/velocity/32/18006_2.png) [@Velocity](https://boards.straightdope.com/u/Velocity)\
**Post date:** [March 3, 2018, 6:15am UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/1 "2018-03-03T06:15:52Z")

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What useful visual ways or analogies are there to convoy “parts per million?”

Like, a cup of Kool Aid poured into a family swimming pool? (Are there 1 million cups of water in that sort of pool?)

A big mansion-full of purple gas released in the Superdome stadium?

Etc. Etc.

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**Author:** ![snfaulkner](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/snfaulkner/32/433_2.png) [@snfaulkner](https://boards.straightdope.com/u/snfaulkner)\
**Post date:** [March 3, 2018, 6:22am UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/2 "2018-03-03T06:22:36Z")

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Dollars? What can you buy with $1 vs $1 million…

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**Author:** ![Duckster](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/duckster/32/1244_2.png) [@Duckster](https://boards.straightdope.com/u/Duckster)\
**Post date:** [March 3, 2018, 6:38am UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/3 "2018-03-03T06:38:38Z")

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An Olympic size pool measures: 50 meters long, 25 meters wide, and a minimum of 2 meters deep.

This converts to 660,430.1339 U.S. gallons. At 16 cups per gallon, we’re talking 10,566,880 cups.

Your cup runneth over.

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**Author:** ![penultima\_thule](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/penultima_thule/32/3833_2.png) [@penultima\_thule](https://boards.straightdope.com/u/penultima_thule)\
**Post date:** [March 3, 2018, 7:06am UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/4 "2018-03-03T07:06:14Z")

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1 drop = 0.05ml  
20 drops = 1 ml  
20,000 drops = 1 litre  
75,700 drops = 1 US gallon  
302,800 drops = 1 x 4US gallon bucket  
1,000,000 drops = 3.3 buckets = 13.2 US Gallons

A US keg of beer is 15.5 gallons so 1ppm is approx 1.2 of drops of beer per keg or a drop in 3.3 buckets.

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**Author:** ![PatrickLondon](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/patricklondon/32/4422_2.png) [@PatrickLondon](https://boards.straightdope.com/u/PatrickLondon)\
**Post date:** [March 3, 2018, 7:25am UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/5 "2018-03-03T07:25:01Z")

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How precise do you want to be? There’s always the old phrase “a drop in the ocean”.

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**Author:** ![Alley\_Dweller](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/alley_dweller/32/430_2.png) [@Alley\_Dweller](https://boards.straightdope.com/u/Alley_Dweller)\
**Post date:** [March 3, 2018, 8:15am UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/6 "2018-03-03T08:15:19Z")

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One person in San Jose CA (pop 1,025,350) or one person in Austin TX (pop 947,890). Not exactly one million, but pretty close. [Source.](https://factfinder.census.gov/faces/tableservices/jsf/pages/productview.xhtml?src=bkmk)

> [@Velocity](#):
>
> What useful visual ways or analogies are there to convoy “parts per million?”

Use a [convoy](https://imagesvc.timeincapp.com/v3/mm/image?url=https%3A%2F%2Ftimedotcom.files.wordpress.com%2F2014%2F08%2Frussia-aid-convoy.jpg&w=800&q=85)!

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**Author:** ![Novelty\_Bobble](https://avatars.discourse-cdn.com/v4/letter/n/a3d4f5/32.png) [@Novelty\_Bobble](https://boards.straightdope.com/u/Novelty_Bobble)\
**Post date:** [March 3, 2018, 8:58am UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/7 "2018-03-03T08:58:44Z")

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> [@Duckster](#):
>
> An Olympic size pool measures: 50 meters long, 25 meters wide, and a minimum of 2 meters deep.
> 
> This converts to 660,430.1339 U.S. gallons. At 16 cups per gallon, we’re talking 10,566,880 cups.
> 
> Your cup runneth over.

far easier with metric and more understandable across the world

50 x 25 x 2 = 2500 cubic metres of water

A cubic metre contains (100 x 100 x 100) 1 million cc of water or 1000 litres

so a half litre bottle of coke tipped into an olympic-sized swimming pool is the equivalent of 1 part in (1000/0.5 x 2500) 5 million and a larger 2 litre bottle gets you close to 1 ppm

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**Author:** ![don\_t\_ask](https://avatars.discourse-cdn.com/v4/letter/d/e68b1a/32.png) [@don\_t\_ask](https://boards.straightdope.com/u/don_t_ask)\
**Post date:** [March 3, 2018, 9:14am UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/8 "2018-03-03T09:14:45Z")

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I generally describe it as 3 drops in a bathtub full of water.

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**Author:** ![mixdenny](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mixdenny/32/2962_2.png) [@mixdenny](https://boards.straightdope.com/u/mixdenny)\
**Post date:** [March 4, 2018, 4:57am UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/9 "2018-03-04T04:57:26Z")

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One million days covers most of recorded history (2740 years).

Dennis

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**Author:** ![burpo\_the\_wonder\_mutt](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/burpo_the_wonder_mutt/32/365_2.png) [@burpo\_the\_wonder\_mutt](https://boards.straightdope.com/u/burpo_the_wonder_mutt)\
**Post date:** [March 4, 2018, 5:23am UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/10 "2018-03-04T05:23:16Z")

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> [@Alley\_Dweller](#):
>
> One person in San Jose CA (pop 1,025,350) or one person in Austin TX (pop 947,890). Not exactly one million, but pretty close. [Source.](https://factfinder.census.gov/faces/tableservices/jsf/pages/productview.xhtml?src=bkmk)
> 
> Use a [convoy](https://imagesvc.timeincapp.com/v3/mm/image?url=https%3A%2F%2Ftimedotcom.files.wordpress.com%2F2014%2F08%2Frussia-aid-convoy.jpg&w=800&q=85)!

Wait a minute, that was just a _thousand_ screamin’ trucks (an’ eleven long-haired Friends o’ Jesus in a chartreuse micra-bus, 10-4.)

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**Author:** ![robby](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/robby/32/11048_2.png) [@robby](https://boards.straightdope.com/u/robby)\
**Post date:** [March 4, 2018, 8:14am UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/11 "2018-03-04T08:14:45Z")

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As an engineer, I’m fairly literal-minded, so:

1 ppm = 1 mg/kg

i.e. one part per million equals 1 milligram per kilogram

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**Author:** ![scr4](https://avatars.discourse-cdn.com/v4/letter/s/59ef9b/32.png) [@scr4](https://boards.straightdope.com/u/scr4)\
**Post date:** [March 4, 2018, 2:31pm UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/12 "2018-03-04T14:31:12Z")

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> [@robby](#):
>
> As an engineer, I’m fairly literal-minded, so:
> 
> 1 ppm = 1 mg/kg
> 
> i.e. one part per million equals 1 milligram per kilogram

Or 1 gram / metric ton, which I think is easier to visualize.

That would be 1 ml per ton of water.

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**Author:** ![scr4](https://avatars.discourse-cdn.com/v4/letter/s/59ef9b/32.png) [@scr4](https://boards.straightdope.com/u/scr4)\
**Post date:** [March 4, 2018, 2:37pm UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/13 "2018-03-04T14:37:10Z")

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> [@PatrickLondon](#):
>
> How precise do you want to be? There’s always the old phrase “a drop in the ocean”.

One drop in the entire Atlantic Ocean would be about 1 part in 10 quadrillion. That’s ten trillion times smaller than 1 ppm.

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**Author:** ![Machine\_Elf](https://avatars.discourse-cdn.com/v4/letter/m/82dd89/32.png) [@Machine\_Elf](https://boards.straightdope.com/u/Machine_Elf)\
**Post date:** [March 4, 2018, 6:47pm UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/14 "2018-03-04T18:47:22Z")

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> [@robby](#):
>
> As an engineer, I’m fairly literal-minded, so:
> 
> 1 ppm = 1 mg/kg
> 
> i.e. one part per million equals 1 milligram per kilogram

I appreciate your literal-minded engineerness, but for most people, this is not any more useful than the original 1 PPM description. The goal is to express this quantity using everyday items that non-engineers find familiar and can relate to.

For example, most folks are familiar with a gallon, and most folks are familiar with an inch. So take a cube of water 1/16 of an inch on a side: that’s about one millionth of a gallon.

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**Author:** ![GIGObuster](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/gigobuster/32/421_2.png) [@GIGObuster](https://boards.straightdope.com/u/GIGObuster)\
**Post date:** [March 4, 2018, 7:58pm UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/15 "2018-03-04T19:58:53Z")

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This here is a nice demonstration of ink in water (about how to picture why CO2 concentrations in the atmosphere are significant) to show that something being at parts per million in a solution is something that can have a big impact.

[QUOTE]

Dan Miller  
Published on Mar 7, 2010  
I use ink to demonstrate how CO2 can have a big impact on warming the earth even though it is a very small percent of the atmosphere.  
[/QUOTE]

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**Author:** ![minor7flat5](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/minor7flat5/32/258_2.png) [@minor7flat5](https://boards.straightdope.com/u/minor7flat5)\
**Post date:** [March 4, 2018, 8:19pm UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/16 "2018-03-04T20:19:06Z")

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> [@Velocity](#):
>
> …Like, a cup of Kool Aid poured into a family swimming pool? (Are there 1 million cups of water in that sort of pool?)…

You are very close.

My own average-sized pool holds 18,500 gallons of water (all pool owners know their size because of the need to calculate chemical adds).

18,500 gal / 1,000,000 = 0.0185 gal  
0.0185 gal \* 128 oz/gal is about 2.4 oz.

So it’s about the size of one of those tiny Dixie cups you find in bathrooms.

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**Author:** ![Enginerd](https://avatars.discourse-cdn.com/v4/letter/e/bcef8e/32.png) [@Enginerd](https://boards.straightdope.com/u/Enginerd)\
**Post date:** [March 4, 2018, 11:00pm UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/17 "2018-03-04T23:00:04Z")

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If you’re okay being a bit crass about it, [this page](http://oasisdesign.net/water/quality/coliform.htm) translates fecal coliform counts into the more intuitive units “buttwipes per swimming pool” (or per bathtub, or per bottle :eek:, depending on the counts). Gives quantitative derivations and everything.

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**Author:** ![Baal\_Houtham](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/baal_houtham/32/13604_2.png) [@Baal\_Houtham](https://boards.straightdope.com/u/Baal_Houtham)\
**Post date:** [March 5, 2018, 1:04am UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/18 "2018-03-05T01:04:36Z")

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Once when I was trying to illustrate the generations of man (related to evolution) I decided that a screen door demonstrated it pretty well — with each square representing a generation of 20 years. I forget the details now. BUT, standard screening has an 18x16 mesh for 288 squares per square inch.

A rectangle of screening 48” x 73” will put you around 1,009,000. You can carry it under your arm.

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**Author:** ![Shoeless](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/shoeless/32/7099_2.png) [@Shoeless](https://boards.straightdope.com/u/Shoeless)\
**Post date:** [March 5, 2018, 3:58pm UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/19 "2018-03-05T15:58:28Z")

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> [@Alley\_Dweller](#):
>
> One person in San Jose CA (pop 1,025,350) or one person in Austin TX (pop 947,890). Not exactly one million, but pretty close. [Source.](https://factfinder.census.gov/faces/tableservices/jsf/pages/productview.xhtml?src=bkmk)

Or as the old joke goes, there are a billion people in China. So even if you are a one-in-a-million kind of guy, there are still 1,000 other people just like you.

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**Author:** ![Napier](https://avatars.discourse-cdn.com/v4/letter/n/ce73a5/32.png) [@Napier](https://boards.straightdope.com/u/Napier)\
**Post date:** [March 5, 2018, 5:12pm UTC](https://boards.straightdope.com/t/need-useful-ways-to-express-parts-per-million/809955/20 "2018-03-05T17:12:59Z")

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I think many of us could picture a ten-by-ten arrangement of people standing. And we could with some difficulty imagine a vast field on which there was an arrangement of one hundred by one hundred of these groups. That’s (10\*10)_100_100= one million. So, just one of those people in that whole crowd.

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