3.25 Quads of energy are currently used by major appliances in US homes, a doubling of the total
amount used by appliances in 30 years. (Meanwhile the total amount of energy used per home in
the US has actually fallen as we have learned to insulate our dwellings). Convert this amount of
energy into GTOE (gigatonnes of oil equivalent), EJ (exajoules), and barrels of oil equivalent. A quad
is 1 x 10
15
BTUs.
Ans ) We know ,
1 TOE (tonn of oil equivalent) = 39.38 x 106 BTU
So , 1 Quads = 1015 / (39.68 x 106) TOE
= 0.025 x 109 TOE
= 0.025 GTOE (because 1 Gigaton of oil equivalent (GTOE) is equal to 109 TOE )
1 TOE = 41.87 Gigajoules (GJ)
Also, 1 quads equal to 0.025 GTOE or 0.025 x 109 TOE
So, 0.025 GTOE = 41.87 x 0.025 x 1018 Joules
= 1.046 x 1018 Joules
Since 1 exajoule = 1018 J ,
1 Quad = 1.046 EJ (exajoules)
since, 1 TOE = 7.4 barrels of oil equivalent
0.025 GTOE which equal to 1quads = 185 x 106 barrels of oil equivalent
So,
1 Quads = 0.025 GTOE
= 1.046 EJ
= 185 x 106 barrels of oil equivalent
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