Exercise $24\mathrm{.}35$ Two identical air$-$filled parallel$-$plate capacitors C$1$C$1$ and C$2$C$2$ are connected in series to a battery that has voltage VV$.$ The charge on each capacitor is Q$0$Q$0.$ While the two capacitors remain connected to the battery, a dielectric with dielectric constant K$>1$K$>1$ is inserted between the plates of capacitor C$1$C$1,$ completely filling the space between them. What is the charge on capacitor C$1$C$1$ after the dielectric is inserted?

Express your answer in terms of KK and Q$0$Q$0.$