$233($t $1/2=27$ days$)$ can be obtained by the decay of Th $234,$ which is formed by neutron capture of the radioactive isotope Th $234,$ with a half$-$life of $22\mathrm{.}3$ minutes. The neutron capture rate in $1$ g Th $234$ in a typical reactor neutron flux is $2$x$1011$ s$-1.$ a$)$ What are the activities of Th $233$ and Pa $233$ during one hour of irradiation? b$)$ The sample is removed from the reactor during one hour of irradiation. What are the activities of TH $233$ and Pa $233$ after $24$ hours?