With carbon dioxide (CO2) enrichment, algae in a sunny area can produce 0.01 lit

Question

With carbon dioxide (CO2) enrichment, algae in a sunny area can produce 0.01 litres (L) of biodiesel per square metre per day. The energy content of biodiesel is 9.8 kWh/L. Suppose you wanted to drive a typical Australia car (requiring 25.1 L of biodiesel per 100km) a distance of 47 km per day on biodiesel fuel derived from algae.
How many square metres (m2) of algae ponds would be required? With carbon dioxide (CO2) enrichment, algae in a sunny area can produce 0.01 litres (L) of biodiesel per square metre per day. The energy content of biodiesel is 9.8 kWh/L. Suppose you wanted to drive a typical Australia car (requiring 25.1 L of biodiesel per 100km) a distance of 47 km per day on biodiesel fuel derived from algae.
How many square metres (m2) of algae ponds would be required? With carbon dioxide (CO2) enrichment, algae in a sunny area can produce 0.01 litres (L) of biodiesel per square metre per day. The energy content of biodiesel is 9.8 kWh/L. Suppose you wanted to drive a typical Australia car (requiring 25.1 L of biodiesel per 100km) a distance of 47 km per day on biodiesel fuel derived from algae.
How many square metres (m2) of algae ponds would be required?

Explanation / Answer

Biodiesel produced = 0.01 L/(m2-day) x (1day/24h)

= 4.166 x 10^-4 L/(m2-h)

Mileage of car = 25.1 L/100 km

= 0.251 L/km

Distance covered = 47 km/day x 1day/24h = 1.9583 km/h

Fuel required = 0.251 L/km x 1.9583 km/h

= 0.49154 L/h

square metres (m2) of algae ponds required

= fuel required / biodiesel produced

= (0.49154 L/h) / [4.166 x 10^-4 L/(m2-h)]

= 1179.88 m2

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