Using a rocket to visit the space station requires 119 trillion BTU of energy. T

Question

Using a rocket to visit the space station requires 119 trillion BTU of energy. The best fuel for the mission will have the highest ratio of energy to volume. Based on the full data presented in the table, select the optimal fuel and calculate total gallons of fuel required.
Table: Energy Output BTU/lb Density g/ml
Kerosene 18,500 0.820
Gasoline 20,900 0.737
Ethanol 11,500 0.789
Hydrogen(l) 61,100 0.0710
Which is the optimal fuel?

How many gallons of fuel are required?
Conversion units:convert energy output to BTU/gal
1000ml=1 l
454 g=1lb
3.785 L=1 gal
1 trillion=1 X 10^12
Thank you so much!!

Explanation / Answer

The required fuel should have highest ratio of energy to volume. Since density is inversely related to volume the fuel will be the one with highest value of energy*density.(The unit conversion ill be same for all). Kerosene=18500*0.820=15170 Gasoline=20900*0.737=15403.3 Ethanol=11500*0.789=9073.5 Water=61100*0.0710=4338.1 So GASOLINE is the fuel. 119 trillion BTU is provided by 5693779904.306 lbs=926665845.7 gallons of fuel (convert lbs to gms by multiplying with 454, then divide by density to get ml. Then convert to litre and then gallon by dividing with 3.785

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