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Question

A certain fuel-efficient hybrid car gets gasoline mileage of 55.0 mpg (miles per gallon). (a) If you are driving this car in Europe and want to compare its mileage with that of other European cars, express this mileage in km/L (1L = liter). Use the conversion factors in Appendix E. (b) If this car’s gas tank holds 45 L, how many tanks of gas will you use to drive 1500 km?

Step-by-Step Solution

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Answer

(a) The mileage in km/L is 23.3 km/L.

(b) The number of tanks required is 1.43.

1Conversion in km/L

Part (a)

The conversion of mpg into km/L is shown below,

$55 m p g = 55 \frac{m i l e}{g a l l o n} \times \frac{1.609 k m}{1 m i l e} \times \frac{1 g a l l o n}{3.785 l i t e r s} 55 m p g = 23.3 k m / L$

Thus, the mileage is 23.4km/L.

2The number of tanks required

From the mileage we know that distance is 23.4 km for 1 L.

So, for 45 L the car will travel a distance x.

$x = 23.3 \frac{k m}{L} \times 45 L x = 1048.5 k m$

3The number of tanks required

The number of tanks required will be,

$n = \frac{1500 k m}{1048.5 k m} n = 1.43$

Thus, tanks of gas used to cover 1500 km is 1.43 tanks.

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