(a)
(i) Rate equation

(ii) Rate law equation
Rate = K[C12H22O11]
(iii) Molecularity → 2
(iv) Order → first order
(b) As the reaction is of first order therefore

When
P0 = 0.65atm i.e. P0 + P = 0.65atm
P = 0.65 – P0 = 0.65 – 0.50 = 0.15atm
Therefore the pressure of SO2Cl2 at time t(PSO2Cl2)
= P0 – P = (0.50 – 0.15)atm = 0.35atm
Rate at that time = K × (P ) SO2Cl2
= 2.2316 × 10–3 × 0.35
= 7.8 × 10–4atm sec–1