ω\omegaω-Conotoxin is a peptide neurotoxin that selectively blocks presynaptic voltage-gated calcium ion channels at synaptic junctions, preventing the influx of calcium ions and the subsequent release of neurotransmitters.
In a clinical trial, a synthetic analogue of ω\omegaω-conotoxin was administered to a patient via a continuous intrathecal micro-infusion pump at a constant rate of 3.5 pg kg−1 min−13.5\text{ pg kg}^{-1}\text{ min}^{-1}3.5 pg kg−1 min−1 for a duration of 4.5 days4.5\text{ days}4.5 days.
Given that 1 pg=1×10−12 g1\text{ pg} = 1 \times 10^{-12}\text{ g}1 pg=1×10−12 g:
Calculate the total mass, in grams, of the ω\omegaω-conotoxin analogue infused into a patient with a body mass of 68 kg.
Show your working.