The uranium used for nuclear fuel exists in nature in several minerals. Calculate how many moles of uranium are in 1 mole of the following.
a. carnotite, $\mathrm{K}_{2}\left(\mathrm{UO}_{2}\right)_{2}\left(\mathrm{VO}_{4}\right)_{2}$
b. uranophane, $\mathrm{CaU}_{2} \mathrm{Si}_{2} \mathrm{O}_{11}$
c. autunite, $\mathrm{Ca}\left(\mathrm{UO}_{2}\right)_{2}\left(\mathrm{PO}_{4}\right)_{2}$