initial concentration of SO2Cl2 = 2.40mol/8.00L
= 0.300M
the concentration of SO2 at equilibrium = 1.60mol/8.00L
= 0.200M
for the reaction the ICE table is
SO
2Cl
2 (g)

SO
2 (g) + Cl
2 (g)
initial: 0.300M 0 0
change: -0.200M 0.200M 0.200M
equilibrium : 0.100M 0.200M 0.200M
the equilibrium constant (Kc) is related to the concentration as
Kc = [SO2 ][Cl2]/[SO2Cl2]
Kc =(0.200M*0.200M)/(0.100M)
Kc =0.4