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A large LNG tank carries 138,000 m^3 of LNG

Physics

A large LNG tank carries 138,000 m^3 of LNG. (a) Use the fact that LNG is 600 times denser than the gaseous state to estimate the total energy content of the LNG tanker’s cargo. (b) How long would all that natural gas last if it were used to satisfy the total U.S. energy consumption rate of about 10^12 W?

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Answer:

VOlume of LNG = V = 138,000 m^3
Equivalent gaseous LNG = 600*138,000 = 828*10^5 m^3
NOw from energy content of fuels we know that
density of natural gas = 0.9 kg/m^3
so mass og natural gas available = 745.2*10^5 kg
1 kg LNG gives 43000,000 J
a. so this mass would give3.20436*10^15 J
b. Energy consuemd in one second = 10^12 J
Net seconds taken to consume the given energy from LNG = 3.20436*10^15 / 10^12 = 3204.36s = 0.8901 hours