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

Answer:

67692.31 J

396811.337 J

Explanation:

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

The energy related to standard cubic foot of natural gas = $1.1\times 10^{6}\ J$

Thus, As according to the question,

$16.25 of natural gas have $1.1\times 10^{6}\ J$ of energy.

$1 of natural gas have $\frac{1.1\times 10^{6}}{16.25}\ J$ 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 = $2.24\times 10^{7}\ J$

Thus, As according to the question,

$56.45 of coal have $2.24\times 10^{7}\ J$ of energy.

$1 of coal have $\frac{2.24\times 10^{7}}{56.45}\ J$ of energy.

The amount of energy = 396811.337 J