The following gas phase reactions takes place at $673C$ in a variable volume batch reactor.

$A+BC+U,r_U=k_1{C}_A$

$A+BD,r_D=k_2{C}_A$

Initially $10$kmol of A and $20$kmol of B are present in the reactor. The specific rate constants are $k_1=0\mathrm{.}22mi{n}^{-1}$ and $k_2=0\mathrm{.}71mi{n}^{-1}$ at the reaction temperature. Calculate the amount of moles of $D$ present in the reactor after $2\mathrm{.}5$ minutes.