Certainly! Let's solve this step-by-step:
1. Given Values:
- Fuel value of protein: 17 kJ/g.
- Fuel value of peanuts: 28 kJ/g.
- Weight of peanuts: 25 grams.
2. Calculate the energy provided by 25 grams of peanuts:
- We multiply the weight of peanuts by their fuel value.
- Energy from peanuts = Weight of peanuts × Fuel value of peanuts
- Energy from peanuts = 25 grams × 28 kJ/g
- Energy from peanuts = 700 kJ
3. Determine the grams of protein needed to provide the same energy:
- To find the grams of protein required, we divide the energy provided by the peanuts by the fuel value of protein.
- Grams of protein = Energy from peanuts / Fuel value of protein
- Grams of protein = 700 kJ / 17 kJ/g
- Grams of protein ≈ 41.176 grams
Therefore, approximately 41.176 grams of protein are needed to provide the same energy as 25 grams of peanuts.
