The half-life of the radioactive isotope Carbon-14 is about 5730 years. O Part (a) - Find N In terms of t. The amount of a radioactive element A at time t is given by the formula A(t) = Agekt, where An is the initial amount of the element and k<0 is the constant of proportionality which satisfies the equation (instantaneous rate of change A(t) time t) = kA(t). Use the formula given above to express the amount of Carbon-14 left from an initial N milligrams as a function of time t in years. (Round k to six decimal places.) A(t) = mg O Part (b) - Find the percentage remaining. What percentage of the original amount of Carbon-14 is left after 30,000 years? (Round to the nearest tenth.) % O Part (c) - Find the age. If an old wooden tool is found in a cave and the amount of Carbon-14 present in it is estimated to be only 48% of the original amount, approximately how old is the tool? (Round to the nearest year.) years old

The half-life of the radioactive isotope Carbon-14 is about 5730 years. O Part (a) - Find N In terms of t. The amount of a radioactive element A at time t is given by the formula A(t) = Agekt, where An is the initial amount of the element and k<0 is the constant of proportionality which satisfies the equation (instantaneous rate of change A(t) time t) = kA(t). Use the formula given above to express the amount of Carbon-14 left from an initial N milligrams as a function of time t in years. (Round k to six decimal places.) A(t) = mg O Part (b) - Find the percentage remaining. What percentage of the original amount of Carbon-14 is left after 30,000 years? (Round to the nearest tenth.) % O Part (c) - Find the age. If an old wooden tool is found in a cave and the amount of Carbon-14 present in it is estimated to be only 48% of the original amount, approximately how old is the tool? (Round to the nearest year.) years old

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter18: Chemical Kinetics

Section: Chapter Questions

Problem 6P

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