The compound that does not produce nitrogen gas by the thermal decomposition is:

Solution :
\[\begin{align} & \left( \text{A} \right)Ba{{\left( {{N}_{3}} \right)}_{2}}\xrightarrow{\Delta }Ba+3{{N}_{2}} \\ & \left( \text{B} \right){{\left( N{{H}_{4}} \right)}_{2}}C{{r}_{2}}{{O}_{7}}\xrightarrow{\Delta }C{{r}_{2}}{{O}_{3}}+{{N}_{2}}+4{{H}_{2}}O \\ & \left( \text{C} \right)N{{H}_{4}}N{{O}_{2}}\xrightarrow{\Delta }{{N}_{2}}+2{{H}_{2}}O \\ & \left( \text{D} \right){{\left( N{{H}_{4}} \right)}_{2}}S{{O}_{4}}\xrightarrow{\Delta }2N{{H}_{3}}+{{H}_{2}}S{{O}_{4}} \\ & N{{H}_{3}}\,\text{ is evolved in reaction (C)}\text{. } \\ \end{align}\]