Using on the information below, finish questions $(9)(10).$

As shown in the figure below, a perfect gas is taken from state A to state B$,$ and then to state C$.$ Suppose that the process from A to B is adiabatic and the process from B to C is isothermal.

$(9)$ From A to B $,$ what is a true statement about the change in temperature $(T)$ and heat transferred $(q)?$

$($A$)T=0,q>0.$

$($B

$($C$)T=0,q=0.$

$($D

$(10)$ For the temperature of the gas at states $A(T_A)$ and $C(T_C),$ which of the following is true:

$($A$)T_A>T_C.$

$($B$)T_A=T_C{T}_A.$

$(C)T_A=T_C.$

$(D)$ Cannot $be$ determined.