A Norovirus can be considered as a 30 nm in diameter spherical particle, made of protein and DNA·The Noroviruses are known to be highly infective. As few as 10 viruses are enough to cause infection in a human. a) Suppose that an infected individual releases 5 cm3 of fluid containing 10% of Noroviruses by volume. Calculate the number of Noroviruses in this sample and the number of humans that could be infected with these viruses. What percentage of the human population on Earth (assumed 7 billion) could be infected? b) Could the virus spread around and infect all these humans only by diffusion? Calculate the diffusion coefficient and the time needed for one virus to diffuse to a length of 1 meter at 20°C (viscosity of water being 1.0x103 kg m s)?