Hint: Homogenous catalysts are those in which the catalyst is in the same phase as the reactants and products.
Explanation:
A) Haber's process: It combines nitrogen from the air with hydrogen derived mainly from natural gas (methane) into ammonia using Iron oxide catalyst at higher temperature and pressure. The reaction is shown as;
$$N_{2(g)} +3H_{2(g)} \xrightarrow{FeO_{(s)}} 2NH_{3(g)}$$
Here, Catalyst is in Solid-phase while reactants are in gases phases. So, it is an example of
heterogeneous catalysis.B) Contact process: It involves the following steps:
1. makes sulfur dioxide by burning sulfur in excess of air/oxygen.
2. converts the sulfur dioxide into sulfur trioxide in the presence of a catalyst vanadium pentoxide ($$V_2O_5$$V2O5)
Reaction is shown as;
$$SO_{2(g)} + 0.5O_{2(g)} \xrightarrow{V_2O_{5(s)}} SO_{3(g)}$$
Here, Catalyst is in Solid-phase while reactants are in gases phases. So, it is an example of heterogeneous catalysis.
C) Catalytic hydrogenation is the addition of hydrogen to an unsaturated compound with a double or triple bond such as oil. The process of catalytic hydrogenation utilizes a metal catalyst such as nickel, palladium, or platinum. the reaction is shown as;
$$ Unsaturated_{(l)} +H_{2(g)} \xrightarrow{Ni_{(s)}} Saturated_{(l)}$$
Here, Catalyst is in Solid-phase while reactants are in gases phases. So, it is an example of heterogeneous catalysis.
D) Acid hydrolysis of methyl acetate is catalyzed by dilute acid, where it gets converted to methanol and acetic acid. The reaction is shown as;
$$MeOCOCH_{3(aq.)} + H_2O_{(l)} \xrightarrow{H^+_{(aq)}} MeOH_{(aq.)} + AcOH_{(aq.)}$$
Here catalyst and the reactants both are in the liquid (Aqueous) phase so it is an example of Homogenous catalysis.
Final answer: Correct Option is $$D$$