A hospital receives a shipment of the medical isotope 99mTc that has an activity of 2.20 GBq at 09:00 h on Monday. The isotope has a half-life of 6.02 h.
(i) Determine the exact date and local time when the activity will first fall to 15 MBq, the level at which the vial may be disposed of as low-level waste.
(ii) Owing to shielding and storage conditions, the effective half-life inside the hospital vault is found to be 3.0 % longer than the physical half-life. Calculate the new disposal date and time under these conditions.