Fluid Flow through a Compression Chamber

A compressible gas flows into and out of a compression chamber as shown in Figure $2.$

For the system given, which of the following statement$($s$)$ are true based on the conti$-$

nuity equation? Be certain to justify your answer quantitatively.

$($a$)B_{sys}=0$

$($b$)b_{sys}=0$

$($c$)\frac{d{B}_{sys}}{dt}0$

$($d$){\displaystyle \underset{cs}{\overset{?}{}}}bv*A=0$

$($e$)\frac{d}{dt}{\displaystyle \underset{cv}{\overset{\phantom{}}{}}}dV=0$

Figure $2$: Schematic of compression chamber.