In a dry cell, the ZnCl\(_2\) paste plays a crucial role in preventing excessive buildup of pressure inside the cell, which could occur due to the formation of NH\(_3\) gas during the electrochemical reactions. The NH\(_3\) gas formation could result from the reaction of Zn with NH\(_4\)Cl, causing an increase in pressure. The ZnCl\(_2\) paste, by preventing the formation of NH\(_3\) gas, ensures that the cell remains stable and pressure-free. This allows the cell to function efficiently for a longer time.
Thus, the correct answer is that ZnCl\(_2\) prevents pressure development due to NH\(_3\) gas formation.