8c. What Volume of Alcohol is Lethal?

The Complaint

8c: I Will Never Use this Maths

The Solution:

You are going to use this maths NOW……………..

……………………………………………………………………..

How much alcohol will kill you?

TOPICS: Decimals, %, algebra, vol, weight units (Metric)

At low levels of consumption alcohol impairs decision making and inhibits coordination. It makes you DUMB and CLUMSY, which can cause serious injuries if you, say, fall down stairs.

Legal Age to Buy or Sell Alcohol USA: 21 years

Legal Age to Buy or sell Alcohol AUST, NZ & UK: 18 Years

Legal Age to Buy or sell Alcohol CANADA: 18 – 19 Years depending on region.

At higher levels of consumption ALCOHOL can kill. It is a depressant. It acts on your central nervous system. It can STOP YOU BREATHING.

WORKSHEET PDF:  How Much Alcohol Would Kill You? WORKSHEET

WORKED EXAMPLE

1. Calculate the weight of (pure) alcohol or ethanol in the following standard drinks using the following information:

Now Ethanol =  0.79 gm/ml

More information @ alcohol.org.nz

The Terrifying Maths of Running from a Bear … Metric Units

METRIC UNITS below. USA UNITS here.

BEAR STATISTICS

Grizzly Bear

Weight:   250kg

Height:   250cm

Top Speed: 56kph  =   16 m/sec

More bear stats here. 

Brown Bear

Weight:  680kg

Height:   250cm

Top Speed: 35kph  = 10m/s

More bear stats here.

Comparing these speeds to the fastest man on earth, Usain Bolt:

Usain Bolt:

Top speed: 243kph =   12m/s

So Usain Bolt could out run a Brown Bear but NOT a Grizzly!

Bears are NOT as dangerous as:

In fact more Americans die choking on their own vomit each year than a re killed by bears.

More death stats here.

But bears are very fast so Park Rangers recommend the following survival tactics:

More bear survival info here.

REF: Dog helps save hikers after grizzly chases them for 20 minutes here.

m+m maths 3: how many m+ms will kill you?

You can find more Death by Chocolate Maths here and here.

m+m maths 4: How many m+ms will kill my dog?

You can find more Death by Chocolate Maths here and here.

m+m maths 6: How many m+ms will kill my pet rat?

According to the dailytech website rats show addiction to chocolate including m&ms

53 m+ms would be  a little over a shot glass full of candy. Toxicology Data Network link. You can find more Death by Chocolate Maths here and here.

Volcano Survivor 2: Mauna Loa Volcano, Hawaii, 1950

Once lava flows are established new RIVERLETS can run on top of the original lava flow at great speed.

The fastest Lava flows recorded were in Hawaii in 1950 when Mauna Loa erupted. The lava traveled at 6 miles (10 kilometers) per hour through thick forest. But once the lava flows became established and good channels developed, the lava in the channels was flowing at up to 60 miles/hour (97 kph)

Can you out run a lava flow?

You are 2 km from the volcano rim and start running.

V_L =   97 kph = 1.6 km per minute (k/min)

     =   60 mph

V_H = 18 kph = 0.3 km/min

   = 11.2 mph (miles per hr )

GRAPH:

How long will it take for the lava to catch you?

 

SIMULTANEOUS EQNS:

How long will it take for the lava to catch you?

Death by Chocolate: The Maths

 Choco Yum Yum! Mathspig lervs chocolate. But did you know chocolate can kill you?

Chocolate contains a chemical called Theobromine. This alkaloid ( other alkaloids include cocaine, nicotine, caffeine and strychnine) can kill humans. More info Wired Magazine.

How much chocolate is too much?

Firstly, the darker the chocolate the more Theobromine it contains.

According to About Chemistry:

Based on highest possible toxicity:

White Chocolate: insignificant

.

.

Milk Chocolate 1-5 g/kg

200gm block = 1 gm per block

……………………………………………………………………………………….

Dark Chocolate 10 g/kg

200gm block = 2gm per block

 ..

…………………………………………………….

Cooking or Baking chocolate* 10-50 g/kg

200mg block = 10 g per block

(* Vetmedicine: Cooking chocolate contains 8-10 times the Theobromine in Milk Chocolate )

According to Wired large doses of theobromine may cause “nausea and anorexia ….. sweating, trembling and severe headache.”

The Royal Society of Chemistry notes that chocolate does not contain caffeine, but theobromine induces similar symptoms.

LD50 for the lethal dose for 50% of the population f or Theobromine is:

1000 mg/kg 0r 1gm/kg of body weight in humans

Death by Chocolate Calculations:

1. FORMULA

2. GRAPH

3. Percentage