Question

A Canadian, driving in the U.S.A., fuels their car at a cost of US$3.82 per gallon (US).

The current monetary exchange rate is 0.942 US$/Can$.
The density of the fuel is 0.674 g/mL.

a) What is the mass of Can$30.00-worth of this fuel?
b) If the vehicle consumes the gasoline at a rate of 8.53 L/100 km, how many miles can it travel on the above amount of gasoline?

Answer 1

a) The mass of Can$30.00-worth of fuel is 18.88 g. b) The vehicle can travel approximately 16.52 miles on the given amount of gasoline.

Step-by-step explanation:

a) To find the mass of Can$30.00-worth of fuel, we first need to convert Can$30.00 to US dollars using the exchange rate. Can$30.00 x 0.942 US$/Can$ = US$28.26. Then, we can divide this amount by the cost of fuel per gallon to find the number of gallons: US$28.26 / US$3.82 per gallon = 7.40 gallons. Finally, we can multiply the number of gallons by the density of the fuel to find the mass: 7.40 gallons x 3.785 L/gallon x 0.674 g/mL = 18.88 g.

b) To determine how many miles the vehicle can travel on the given amount of gasoline, we first need to convert the fuel consumption rate from L/100 km to gallons/mile. 8.53 L/100 km x 1 gallon/3.785 L x 1 km/0.6214 mile = 0.448 gallons/mile. Then, we divide the amount of gasoline (7.40 gallons) by the fuel consumption rate to find the number of miles: 7.40 gallons / 0.448 gallons/mile = 16.52 miles.

Answer 2

a) Mass of gasiline = 18.9 kg; b) distance travelled = 204 mi

a) Mass of gasoline

Step 1. Convert $CDN to $US

$US = $30.00 CDN × (0.942$US/$1 CDN) = $28.26 US

Step 2. Calculate the volume of gasoline

V = $28.26 US × (1 gal gasoline/$3.82 US) = 7.399 gal

Step 3. Convert gallons to litres

V =7.399 gal × (3.785 L/1 gal) = 28.00 L

Step 4. Calculate the mass of the gasoline

Mass = 28 000 mL × (0.674 g/1 mL) = 18 900 g = 18.9 kg

b) Distance travelled

Step 1. Calculate the kilometres

Kilometres = 28.00 L × (100 km/8.53 L) = 328.3 km

Step 2. Convert kilometres to miles

Miles = 328.3 km × (1 mi/1.609 km) = 204 mi