Suppose you are working as a reactor operator in the world’s largest nuclear power station at Kashiwazaki-Kariwa Nuclear Power Plant, Japan. The first unit in this station began to operate in 1985. Suppose the rate at which the nuclear power plant produces radioactive waste is proportional to the number of years it has been operating such that 500 pounds of waste is produced every year. Also, suppose that the waste decays exponentially at a rate of 5% per year. At the beginning of 2011, The Fukushima Daiichi nuclear disaster caused sever damages in the units which released the radiation waste to the atmosphere. Therefore, all the units were closed in 2011 for safety inspection. This left japan completely without nuclear-produced electrical power. Finally, the unit began to operate at the beginning of 2019. As a reactor operator, you are asked to do the following: a. Model the generation of the Kashiwazaki-Kariwa Nuclear Power Plant radioactive waste as a function of time. b. Determine how many pounds of waste, to the nearest pound, have been produced since beginning of its operation. c. How much waste, to the nearest pound, will be accumulated by Kashiwazaki-Kariwa Nuclear Power Plant in the long run?
Suppose you are working as a reactor operator in the world’s largest nuclear power station at Kashiwazaki-Kariwa Nuclear Power Plant, Japan. The first unit in this station began to operate in 1985.
Suppose the rate at which the nuclear power plant produces radioactive waste is proportional to the number of years it has been operating such that 500 pounds of waste is produced every year. Also, suppose that the waste decays exponentially at a rate of 5% per year.
At the beginning of 2011, The Fukushima Daiichi nuclear disaster caused sever damages in the units which released the radiation waste to the atmosphere. Therefore, all the units were closed in 2011 for safety inspection. This left japan completely without nuclear-produced electrical power. Finally, the unit began to operate at the beginning of 2019. As a reactor operator, you are asked to do the following:
a. Model the generation of the Kashiwazaki-Kariwa Nuclear Power Plant radioactive waste as a function of time.
b. Determine how many pounds of waste, to the nearest pound, have been produced since beginning of its operation.
c. How much waste, to the nearest pound, will be accumulated by Kashiwazaki-Kariwa Nuclear Power Plant in the long run?
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