All Fermi answers
Fermi #68 · Question 1

How many coffee beans would it take to brew enough coffee to fill a standard 42 gallon (159 L) oil barrel?

Explore the official answer and the simple reasoning behind this Fermi estimate.

1QUESTION 1 OF 3

Answer & explanation

The official answer, with Fermi’s reasoning step by step.

Answer & explanation

Official answer

66,000

beans

How to estimate it

Fermi’s official “Napkin math”

An oil barrel holds 42 gallons. How far does a 1 pound bag of coffee go? Maybe 4 pots, about 2 gallons, so the barrel takes about 20 pounds. And how many beans are in a bag? A few thousand, call it 3,000.

Oil barrel
42 gal
A 1 lb bag brews ~2 gal
≈ 20 lb
Beans in a 1 lb bag
× 3,000
20 × 3,000
≈ 60,000

Rounded assumptions may give a slightly different estimate. The official answer above is the game’s reference value.

Source calculation & reference
Oil barrel, 42 US gallons (NIST)
159 L
SCA Golden Cup brew ratio, 55 g per liter
≈ 8,745 g of coffee
One roasted bean
÷ 0.1325 g
159 × 55 ÷ 0.1325 = 65,994, rounded
≈ 66,000

Reference cited by Fermi: Specialty Coffee Association Golden Cup Standard (55 g of coffee per liter of water) · NIST definition of the petroleum barrel (42 US gallons) · Honest Coffee Guide, average roasted bean weight

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