(Solved): What volume of dinitrogen oxide gas (nitrous oxide or laughing gas) at \( 786.3 \mathrm{~mm} \math ...

What volume of dinitrogen oxide gas (nitrous oxide or laughing gas) at \( 786.3 \mathrm{~mm} \mathrm{Hg} \) and \( 18.0^{\circ} \mathrm{C} \), will form from the complete decomposition of \( 45.987 \mathrm{~g} \) ammonium nitrate according to the following equation: \[ \mathrm{NH}_{4} \mathrm{NO}_{3(\mathrm{~s})} \rightarrow \mathrm{N}_{2} \mathrm{O}(\mathrm{g})+\mathrm{H}_{2} \mathrm{O} \text { (I) (unbalanced) } \] \( R=0.08206 \) L•atm \( / \) mole \( \cdot K \) \[ \mathrm{K}={ }^{\circ} \mathrm{C}+273.15 \]