To determine The relation between the amount N present in the environment and the time t , if N = 0 when t = 0. Explanation Given: A radioactive element leaks from a nuclear power plant at a constant rate r , and it decays at a rate that is proportional to the amount present. Calculation: The amount present in the environment is N and the rate of amount of radioactive element with respect to time t is d N d t . Also, the radioactive element decays at a constant rate r and so, d N d t = r − k N d N d t = r − k N d N r − k N = d t ∫ d N r − k N = ∫ d t − 1 k ln ( r − k N ) = t + c … ( 1 ) Substitute t = 0 , N = 0 in the above equation

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ISBN: 9780134437705

Author: Washington

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Chapter 31.6, Problem 17E

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The relation between the amount N present in the environment and the time t, if N = 0 when t = 0.

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Chapter 31.6, Problem 16E

Chapter 31.6, Problem 18E

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