You are taking a road trip in a car without A/C. The temperture in the car is 85 degrees F. You buy a cold pop at a gas station. Its initial temperature is 45 degrees F. The pop's temperature reaches 60 degrees F after 47 minutes. Given that T-A -kt To-A where T the temperature of the pop at time t. To the initial temperature of the pop. A= the temperature in the car. k=a constant that corresponds to the warming rate. and t the length of time that the pop has been warming up. How long will it take the pop to reach a temperature of 79.75 degrees F? minutes. It will take

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Chapter6: Thermochemisty
Section: Chapter Questions
Problem 6.130QP
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You are taking a road trip in a car without A/C. The temperture in the car is 85 degrees F. You buy a cold pop at a gas
station. Its initial temperature is 45 degrees F. The pop's temperature reaches 60 degrees F after 47 minutes.
Given that
T-A
-kt
= e
To- A
where T
the
temperature
of the pop at time t.
To the initial temperature of the pop.
%3D
the temperature in the car.
k a constant that corresponds to the warming rate.
and t=
%3D
the length of time that the pop has been warming up.
How long will it take the pop to reach a temperature of 79.75 degrees F?
minutes.
It will take
Transcribed Image Text:You are taking a road trip in a car without A/C. The temperture in the car is 85 degrees F. You buy a cold pop at a gas station. Its initial temperature is 45 degrees F. The pop's temperature reaches 60 degrees F after 47 minutes. Given that T-A -kt = e To- A where T the temperature of the pop at time t. To the initial temperature of the pop. %3D the temperature in the car. k a constant that corresponds to the warming rate. and t= %3D the length of time that the pop has been warming up. How long will it take the pop to reach a temperature of 79.75 degrees F? minutes. It will take
Oil leaks from a tank. At hour t = 0 there are 230 gallons of oil in the tank. Each hour after that, 6% of the oil leaks out.
(a) What
of the original 230 gallons has leaked out after 11 hours?
percent
(b) If Q(t) = Qoekt is the quantity of oil remaining after t hours, find the value of k.
k =
(c) What does k tell you about the leaking oil? Select all that apply if more than one statement is true
OA. It tells by what percent of oil decays each hour.
OB. It tells what percent of oil remains after each hour.
C. It is the amount that the oil that leaks out each second.
D. Because it is less than one, we know the amount of oil in the tank is decreasing.
E. Because it is negative, we know the amount of oil in the tank is decreasing.
E It gives the continuous hourly rate at which oil is leaking.
G. None of the above
Transcribed Image Text:Oil leaks from a tank. At hour t = 0 there are 230 gallons of oil in the tank. Each hour after that, 6% of the oil leaks out. (a) What of the original 230 gallons has leaked out after 11 hours? percent (b) If Q(t) = Qoekt is the quantity of oil remaining after t hours, find the value of k. k = (c) What does k tell you about the leaking oil? Select all that apply if more than one statement is true OA. It tells by what percent of oil decays each hour. OB. It tells what percent of oil remains after each hour. C. It is the amount that the oil that leaks out each second. D. Because it is less than one, we know the amount of oil in the tank is decreasing. E. Because it is negative, we know the amount of oil in the tank is decreasing. E It gives the continuous hourly rate at which oil is leaking. G. None of the above
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