Liquid Natural Gas Is Transported by Ship$10 ^ { 5 } \mathrm {~m} ^ { 3 }$

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The Answer is From the text the volume of LNG is 1/600 that of the volume of the same amount of natural gas. Natural gas has an energy density of 3.85×107 J/m3 at STP so LNG will have an energy density of

( 600 ) imes \left( 3.85 imes 10 ^ { 7 } \mathrm {~J} / \mathrm { m } ^ { 3 } ight) = 2.31 imes 10 ^ { 10 } \mathrm {~J} / \mathrm { m } ^ { 3 }

The energy content of the fuel carried by the tanker will be

\left( 10 ^ { 5 } \mathrm {~m} ^ { 3 } ight) imes \left( 2.31 imes 10 ^ { 10 } \mathrm {~J} / \mathrm { m } ^ { 3 } ight) = 2.31 imes 10 ^ { 15 } \mathrm {~J}

Total power consumption for the city will be

\left( 10 ^ { 6 } ight) imes \left( 10 ^ { 4 } \mathrm {~W} ight) = 10 ^ { 10 } \mathrm {~W}

So the energy provided by the tanker will last

\left( 2.31 imes 10 ^ { 15 } \mathrm {~J} ight) / \left( 10 ^ { 10 } \mathrm {~J} / \mathrm { s } ight) = 2.31 imes 10 ^ { 5 } \mathrm {~s} = 64 ext { hours }

Liquid Natural Gas Is Transported by Ship $10 ^ { 5 } \mathrm {~m} ^ { 3 }$

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Liquid Natural Gas Is Transported by Ship 105 m310 ^ { 5 } \mathrm {~m} ^ { 3 }105 m3

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Liquid Natural Gas Is Transported by Ship $10 ^ { 5 } \mathrm {~m} ^ { 3 }$

Correct Answer:
Verified