Boris completely filled a 2.5-liter container with gasoline at a temperature of 20°C.He then left the gasoline in a storage locker where the temperature reached 38°C.The lid of the container was not screwed on tightly,so gasoline was able to leak out and evaporate.Boris uses the gas in his scooter,which gets 35 km/liter.How far could Boris have ridden his scooter using the lost gas? (gasoline = 9.6 × 10^-4/°C) A)4.7 m B)43 m C)1.5 km D)180 km

Question

Quizplus · Accepted Answer

First, we need to calculate the amount of gas that was lost due to evaporation. We can use the following formula to do so:

ΔV = Vα (T2 - T1)

Where:
ΔV = change in volume
Vα = volume coefficient of expansion of gasoline (given as 9.6 × 10-4 /°C)
T1 = initial temperature (20°C)
T2 = final temperature (38°C)

ΔV = 2.5L x 9.6 × 10-4/°C x (38°C - 20°C) = 0.0384L

So, Boris lost 0.0384L of gasoline due to evaporation.

Next, we can calculate how far Boris could have ridden his scooter with this amount of gas:

Distance = amount of gas x fuel efficiency

Distance = 0.0384L x 35 km/L = 1.344 km

Therefore, Boris could have ridden his scooter for 1.5 km (approximately) with the lost gas.

The correct answer is C.

​Boris Completely Filled a 2

Boris Completely Filled a 2