Agas company in massachusetts charges $1.30 for 15.0 ft^3 of natural gas. (a) convert this rate to dollars per liter of gas. (b) if it takes 0.304 ft^3 of gas to boil a liter of water, starting at room temperature (25â°c), how much would it cost to boil a 2.1l kettle of water?

Explanation:

a ) 15( ft)³ = 15 ( 12 inch )³  = 15 x 12 x 12 x 12 (inch)³ = 25920 (inch)³

=25920( 2.54 cm)³ = 25920 x 2.54 x 2.54 x 2.54 cm³ =424752.7 cc

424752.7/1000 litre = 424.75 liter

424.75 liters cost 1.30 dollars

1 liter costs    1.3/424.75 = 3.06 x 10⁻³ dollars.

So rate

= 3.06 x 10⁻³ dollars/liter

b ) one liter of water takes 0.304 ft³ of gas

2.1 liter will take 0.304 x 2.1 = 0.6384 ft³ of gas

cost = 1.3 x .6384 / 15 = 0.055328 dollar = 55.33 x 10⁻³ dollar.