On 23 July 1983, Air Canada Flight 143 ran completely out of fuel about halfway through its flight from Montreal to Edmonton. Fuel loading was miscalculated through misunderstanding of the recently adopted metric system. For the trip, the pilot calculated a fuel requirement of 22,300 kilograms. There were 7,682 liters already in the tanks. If a liter of jet fuel has a mass of 0.803 kilograms, how much fuel [in liters] is needed to be added for the trip? Show your calculations. Round final answer to nearest whole liter.

To solve this problem, we'll calculate the amount of fuel in kilograms already present in the tanks, subtract it from the total fuel requirement, and then convert the remaining amount into liters.

### Step 1: Calculate the mass of the fuel already in the tanks
Given:
- \(7,682\) liters of fuel
- The mass of one liter of fuel is \(0.803\) kilograms

The mass of the fuel already in the tanks is calculated as follows:

\[
\text{Mass of fuel in tanks} = 7,682 \times 0.803 = 6,167.846 \text{ kilograms}
\]

### Step 2: Calculate the additional fuel required in kilograms
The total fuel requirement for the trip is \(22,300\) kilograms. The additional fuel needed is:

\[
\text{Additional fuel required} = 22,300 - 6,167.846 = 16,132.154 \text{ kilograms}
\]

### Step 3: Convert the additional fuel requirement from kilograms to liters
We know that \(1\) liter of jet fuel has a mass of \(0.803\) kilograms, so the required fuel in liters is:

\[
\text{Additional fuel in liters} = \frac{16,132.154}{0.803} \approx 20,088.8 \text{ liters}
\]

### Step 4: Round the answer to the nearest whole liter
Rounding \(20,088.8\) liters to the nearest whole number gives:

\[
\text{Additional fuel needed} = 20,089 \text{ liters}
\]

### Final Answer
The amount of fuel that needs to be added is **20,089 liters**.

Would you like to go over any part of this solution in more detail?

Here are 5 related questions for further practice:
1. How would the calculations change if the mass of one liter of jet fuel was 0.800 kilograms?
2. If the initial amount of fuel in the tank was incorrectly recorded as 7,000 liters, how much additional fuel would be needed?
3. Suppose the fuel requirement was calculated in pounds instead of kilograms. How would you convert the final answer?
4. What if the flight required 25,000 kilograms of fuel instead of 22,300 kilograms?
5. If the pilot mistakenly used the density of another type of fuel (0.820 kg/liter), what would have been the error in fuel calculation?

**Tip:** Always double-check unit conversions, especially in critical calculations like fuel requirements!

Discover how to calculate the fuel required for Air Canada Flight 143 using metric conversions. Learn to compute fuel mass, convert units, and ensure accurate fuel loading by following step-by-step calculations. This example highlights key concepts in unit conversion and fuel density, suitable for Grades 9-12.

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