It is well known that superman can withstand as much as 3 grams of Green Kryptonite indefinitely. However, exposure to more than 3 grams for more than 13 hours is fatal. Assume that Kryptonite decays at an hourly rate of 5.35%
If superman is trapped in a room with 6 grams of Kryptonite, will he survive?
3 = 6e^-.0535t
-.0535t = ln .5
t = ln .5/-.0535 = 12.9 hrs
so what do you think?
Thank you a 1000 times Reiny!
To determine whether or not Superman will survive in a room with 6 grams of Kryptonite, we need to calculate the decayed amount of Kryptonite after 13 hours.
First, let's calculate the hourly decay rate of Kryptonite: 5.35% per hour.
To calculate the decayed amount per hour, multiply the current amount by the decay rate:
Decayed amount per hour = 6 grams * 0.0535 = 0.321 grams.
Now, let's calculate the remaining amount of Kryptonite after 13 hours:
Remaining amount after 13 hours = 6 grams - (0.321 grams * 13) = 6 grams - 4.173 grams = 1.827 grams.
Since the remaining amount of Kryptonite after 13 hours is less than 3 grams, Superman will indeed survive in the room with 6 grams of Kryptonite.
Remember, to calculate the remaining amount of Kryptonite after a certain period of time, you need to subtract the decayed amount for each hour from the initial amount of Kryptonite.