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A parent isotope (P) has 8000 nuclei which is decaying into two intermediate daughter isotopes (D₁ and D₂) before reaching a stable end product (E). The decay constant of this isotope is 0.02 per hour. Calculate:
A. The half-life of the parent isotope (hour)
B. Total number of nuclei remaining after 12 hours (round to nearest whole number)
C. The total time taken by 90% of the parent isotope (P) to decay into the second intermediate daughter isotope (D₂) (hour)