A hydrogen fuel cell produces 1.2 kWh per kilogram of hydrogen. If a vehicle consumes 0.08 kg per kilometer, how many kilometers can it travel using 5 kg of hydrogen?
["How Hydrogen Fuel Cells Enable Long-Range Driving: How 1.2 kWh/kg Powers Efficient Travel", "Hydrogen fuel cells are emerging as a transformative technology in sustainable transportation, offering clean energy with impressive efficiency. One key metric that highlights their capability is that a hydrogen fuel cell produces 1.2 kWh of electricity per kilogram of hydrogen. But how does this translate into real-world driving range? Let’s explore an example to understand how hydrogen efficiency fuels long distance travel.", "### Understanding Hydrogen Energy in Fuel Cells", "A typical hydrogen fuel cell converts hydrogen (H₂) and oxygen into electricity, water, and heat—yielding roughly 1.2 kWh of energy per kilogram of hydrogen consumed. This energy density makes hydrogen an attractive alternative to conventional fuels, especially for vehicles requiring extended range without heavy battery packs.", "### Calculating Travel Distance from Hydrogen Consumption", "Suppose a hydrogen-powered vehicle consumes 0.08 kg of hydrogen per kilometer. With 5 kg of hydrogen available, we can determine the total kilometers the vehicle can travel by dividing total hydrogen by consumption rate per kilometer:", "[\n\ ext{Distance} = \frac{\ ext{Total Hydrogen}}{\ ext{Hydrogen per km}} = \frac{5, \ ext{kg}}{0.08, \ ext{kg/km}} = 62.5, \ ext{km}\n]", "But this is only part of the story—considering the fuel cell’s energy output boosts practical efficiency.", "Since each kilogram delivers 1.2 kWh, the total energy available from 5 kg is:\n[\n5, \ ext{kg} \ imes 1.2, \ ext{kWh/kg} = 6, \ ext{kWh}\n]", "If the vehicle uses 1.2 kWh per kilometer—matching its energy consumption—then:", "[\n\ ext{Range} = \frac{6, \ ext{kWh}}{1.2, \ ext{kWh/km}} = 5, \ ext{km per kg} \ imes 5, \ ext{kg} = 62.5, \ ext{km}\n]", "### Conclusion", "While simplified consumption rates show how much hydrogen is used, integrating fuel cell energy density reveals the true range potential. With 5 kg of hydrogen and 1.2 kWh per kg, a fuel cell vehicle can travel within 62.5 kilometers using standard energy consumption assumptions. This efficiency combined with clean operation makes hydrogen fuel cells a promising solution for sustainable, long-range electric mobility.", "---", "Bonus Takeaway: Though handling and storage challenges remain, hydrogen fuel cell vehicles already achieve impressive efficiencies, paving the way for broader adoption in eco-friendly transportation."]
