There are 174 Calories in 1 Pete’s Wicked Ale (12 oz.). Iso-octane (used to fuel cars) has a calorific value of 47.8 kJ/g. Iso-octane has a density of 0.692 g/mL at 25 oC. Assuming your car ran on pure iso-octane, how many Calories are there in a six-pack of gas? Remember 1 food Calorie = 1000 calories.

To determine the number of Calories in a six-pack of iso-octane, we'll go through the following steps:

1. **Calculate the total volume of iso-octane in a six-pack**:  
   Since each bottle in the six-pack is 12 oz, and there are 6 bottles, the total volume is:
   \[
   \text{Total volume} = 12 \, \text{oz} \times 6 = 72 \, \text{oz}
   \]
   Convert ounces to milliliters (mL):
   \[
   1 \, \text{oz} \approx 29.5735 \, \text{mL}
   \]
   \[
   \text{Total volume in mL} = 72 \, \text{oz} \times 29.5735 \, \text{mL/oz} = 2129.292 \, \text{mL}
   \]

2. **Convert volume to mass**:  
   Using the density of iso-octane (0.692 g/mL), we can convert the volume to mass:
   \[
   \text{Mass of iso-octane} = 2129.292 \, \text{mL} \times 0.692 \, \text{g/mL} = 1473.843 \, \text{g}
   \]

3. **Calculate the total energy in joules**:  
   Using the calorific value of iso-octane (47.8 kJ/g), the total energy is:
   \[
   \text{Total energy in kJ} = 1473.843 \, \text{g} \times 47.8 \, \text{kJ/g} = 70451.7614 \, \text{kJ}
   \]

4. **Convert kJ to Calories**:  
   Since 1 food Calorie = 4184 joules (or 4.184 kJ), convert the total energy to Calories:
   \[
   \text{Total energy in Calories} = \frac{70451.7614 \, \text{kJ}}{4.184 \, \text{kJ/Cal}} = 16838.008 \, \text{Calories}
   \]

So, a six-pack of iso-octane contains approximately **16,838 Calories**.

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Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How does the calorific value of iso-octane compare to other fuels?
2. What would be the equivalent energy in kilowatt-hours (kWh) for the calculated Calories?
3. How many Calories are there in 1 liter of iso-octane?
4. How efficient is the conversion of fuel energy into work in car engines?
5. What is the energy content of other common alcoholic beverages?

**Tip:** Remember that "Calories" in food are actually kilocalories (kcal), so when comparing with other energy units, keep this in mind!

Discover how to calculate the number of Calories in a six-pack of iso-octane based on its density, calorific value, and volume. Detailed step-by-step solution included. Learn the conversion from kJ to Calories and understand the energy content of iso-octane fuel.

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