Question

C) A standard cubic foot of natural gas carries with it about 1.1 x 106 J of energy. Natural gas currently costs about $16.25 per thousand cubic feet. How many Joules of energy in the form of natural gas can you get for a dollar?

d) A short ton of coal holds about 2.24 x 107 J of energy and costs about $56.45 per short ton. How many Joules of energy in the form of coal can you get for a dollar?

Answer 1

67692.31 J

396811.337 J

Step-by-step explanation:

(a) The cost of standard cubic foot of natural gas = $16.25

The energy related to standard cubic foot of natural gas =
`1.1* 10^(6)\ J`

Thus, As according to the question,

$16.25 of natural gas have
`1.1* 10^(6)\ J` of energy.

$1 of natural gas have
`(1.1* 10^(6))/(16.25)\ J` of energy.

The amount of energy = 67692.31 J

(b) The cost of one short ton of coal = $56.45

The energy related to the short ton of coal =
`2.24* 10^(7)\ J`

Thus, As according to the question,

$56.45 of coal have
`2.24* 10^(7)\ J` of energy.

$1 of coal have
`(2.24* 10^(7))/(56.45)\ J` of energy.

The amount of energy = 396811.337 J