The Network Shown Is Assembled with Uncharged Capacitors $X , Y$

Multiple Choice

The network shown is assembled with uncharged capacitors $X , Y$ , and $Z$ , with $C X = 8$ .- $\mu F$ , $C _ { Y } = 9 . - \mu F$ and $C _ { Z } = 1.0 \mu F$ . The switches $S _ { 1 }$ and $S _ { 2 }$ are initially open, and a potential difference $V _ { a b } = 120 \mathrm {~V}$ is applied between points $a$ and $b$ . After the network is assembled, switch $\mathrm { S } _ { 1 }$ is then closed, but switch $S _ { 2 }$ is kept open. How much charge is finally stored in capacitor $Y$ ?

A) $160 \mu \mathrm { C }$
B) $140 \mu \mathrm { C }$
C) $81 \mu \mathrm { C }$
D) $110 \mu \mathrm { C }$
E) $54 \mu \mathrm { C }$