Assuming that the f−18 can be transported at 59.0 miles/hour, how close must the hospital be to the cyclotron if 68% of the f−18 produced is to make it to the hospital?

60.12 miles

Explanation:

Using the calculation formula shown below:

\frac{N_{o} }{N_{t} } }" alt="log_{2}" />\frac{N_{o} }{N_{t} } }" />

where:

is the half life, is the original amount of F-18, and is the remaining amount of F-18 at time t.

Generally, F-18 has an half life of 1.83 hours.

Therefore:

\frac{100}{68} = 1.02 hours" alt="log_{2}" />\frac{100}{68} = 1.02 hours" />

Therefore using a speed of 59 miles/hour, the closeness of the hospital is:

distance = speed*time = 59*1.02 = 60.12 miles

the grams   of   barium that   are in   2.3 x 10^23   atoms of barium   is   52.4 g (answer c)

    calculation

mass = moles   of ba   x molar   mass of ba

  molar mass of ba from periodic table=   137.3 g/mol

  use the   avogadro's law   constant   to   calculate the moles of barium

  that   is     1 mole =   6.02   x 10^23 atoms

                    ? moles = 2.3 x 10^23   atoms

by cross   multiplication

=(1 mole   x 2.3x 10^23 atoms)   / 6.02   x10^23 atoms)=   0.382   moles

mass   is therefore = 137.3   g/mol x 0.382 mol = 52.4 ( answer c)

explanation:

the old alchemists made significant contributions to science even though there starting premises were off a bit. their conclusions after failure would steer them into better directions for investigation. science is no more than close observation and the initial mistakes result in rethinking and retrying experiments.