(a) How many liters of wine can be held in a wine barrel whose capacity is 50. g

Question

(a) How many liters of wine can be held in a wine barrel whose capacity is 50. gal?

____ L

(b) The recommended adult dose of Elixophyllin®, a drug used to treat asthma, is 6 mg/kg of body mass. Calculate the dose in milligrams for a 160-lb person.

____ mg

(c) If an automobile is able to travel 253 mi on 11.4 gal of gasoline, what is the gas mileage in km/L?

____ km/L

(d) A pound of coffee beans yields 50 cups of coffee (4 cups = 1 qt). How many milliliters of coffee can be obtained from 4 g of coffee beans?

____ mL

Explanation / Answer

(a)

1 gallon = 3.7854

Capacity of wine barrel = 50 gallons

Capacity of wine barrel in liters = 3.7854L x 50 =189.27L

189.27L

(b)

Convert lb to kg

1 lb = 0.454 kg

160 lb = 0.454 kg x 160 = 72.64kg

Dose = 6mg /kg of body mass

Dose = 6 x 72.64kg = 435.84mg

The recommended adult dose of Elixophyllin is 435.84mg

(c)

If an automobile is able to travel 253 mi on 11.4 gal of gasoline,

The gas mileage in km/L

1 mile = 1.60934Km

253mile = 253 x 1.60934Km = 407.164 Km

1 gallon = 3.7854

11.4 gallon = 3.7854 Lx 11.4 = 43.15369L

Gas mileage in km/L = 407.164 Km/43.15369L = 9.435Km/L

(d)

Convert g into pound-

453.592 g = 1 pound

4g              = 4/453.592pound  

= 0.00881849 pound.

50 cups of coffee = 50/4 qt = 12.5 qt

1qt = 946.333ml

12.5 qt = 946.333ml x 12.5 = 11829.41 ml

Milliliters of coffee can be obtained from 4 g of coffee beans =11829.41 ml/4 =2957.35ml

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