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You are a NASCAR pit crew member. On the day before the Daytona 500, someone ransacks your records and takes all information pertaining to your driver, Darrell Waltrip, as well as the specifics of the car. On race day Darrell is leading the race with 20 laps to go. Yeeeee haaaa!! He just finished a pit stop which included refueling to fill up his tank. You know that 25 gallons of fuel (3.5 kg) are in the tank. On the way out of the pits, Darrell radios back to you and asks, "Am I going to have enough fuel to finish the last 20 laps of the race or am I going to have to make another pit stop.

Relax

Respuesta :

Answer:

When Darrell is radioed back he would be asked to  “Go for it!”

Explanation:

Here we are given the fuel as C₅H₁₂, therefore the combustion reaction is given as

C₅H₁₂ + 8O₂ → 5CO₂ + H₂O

Mass of oxygen consumed on each lap = 300 g

Molar mass of oxygen gas O₂ = 32 g/mol

Number of moles of oxygen n 300 g of O₂ =

(300 g)/(32 g/mol) = 9.375 moles

For complete combustion, one mole of oxygen gas reacts with one mole C₅H₁₂, to form 5 moles of CO₂ and one mole of H₂O

Therefore 9.375 moles of oxygen ill combine with 9.375/8 or 1.172 moles of C₅H₁₂

Mass of 1.172 moles is given as

Mass = Number of moles × Molar mass

= 1.172 moles × 72.15 g/mole = 84.551 g

Therefore the mass of fuel to complete one lap = 84.551 g

However there are 25 gallons or 3.5 kg in the tank therefore we have

Number of laps the fuel in the tank can last  = Mass of fuel in the tank/ Mass of fuel consumed per lap

= 3.5/84.551 = 41.395 laps.

Number of laps the fuel in the tank can last  = 41.395 laps.

Since there are 20 laps left to complete, which is less than 41.395 laps left in the fuel tank of the vehicle, then Darrell would be asked to go for it.