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Laughing gas is prepared by heading.
(A) $ \text{N}{{\text{H}}_{4}}\text{ Cl} $
(B) $ {{\left( \text{N}{{\text{H}}_{4}} \right)}_{2}}\text{ S}{{\text{O}}_{4}} $
(C) $ \text{N}{{\text{H}}_{4}}\text{ Cl}+\text{NaN}{{\text{O}}_{3}} $
(D) $ \text{N}{{\text{H}}_{4}}\text{ N}{{\text{O}}_{3}} $

Answer
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Hint: Laughing gas is an oxide of Nitrogen as a molecular formula $ {{\text{N}}_{2}}\text{O} $ or named as Nitrogen Oxide or-nitrogen Oxide. Rather than nitrogen having total $ {{\text{O}}^{-}} $ No. oxide because of verifying oxidation state from $ +1 $ to $ +5 $ as $ {{\text{N}}_{2}}\text{O} $ , NO, $ \text{N}{{\text{O}}_{2}} $ , $ {{\text{N}}_{2}}{{\text{O}}_{5}} $ and $ {{\text{N}}_{2}}{{\text{O}}_{3}} $

Complete step by step solution:
Nitrogen dioxide $ \left( {{\text{N}}_{2}}\text{O} \right) $ is prepared by gentle heating of ammonium nitrate or heating a mixture of ammonium sulphide and nitrate below 513 K
 $ \text{N}{{\text{H}}_{4}}\text{ N}{{\text{O}}_{3}} \xrightarrow {\text{Heat}}\text{ }{{\text{N}}_{2}}\text{O}+2{{\text{H}}_{2}}\text{O} $
                                    Di-nitrogen oxide
 $
{{\left( \text{N}{{\text{H}}_{4}} \right)}_{2}}\text{ S}{{\text{O}}_{4}}+2\text{ NaN}{{\text{O}}_{3}}\to \text{ 2 N}{{\text{H}}_{4}}\text{ N}{{\text{O}}_{3}}+\text{N}{{\text{a}}_{2}}\text{ S}{{\text{O}}_{4}} \\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \downarrow \\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \text{2 N}{{\text{O}}_{2}}+\text{4}{{\text{H}}_{2}}\text{ O} \\
$
                                                Laughing gas

Option ‘D’ is correct i.e.
It is prepared by $ \text{N}{{\text{H}}_{4}}\text{ N}{{\text{O}}_{3}} $
.

Additional Information:
 $ {{\text{N}}_{2}}\text{O} $ is a colorless gas with pleasant order. When $ {{\text{N}}_{2}}\text{O} $ is inclined in moderate quantity it produces laughter hence named as laughing gas.

Note:
Properties of $ {{\text{N}}_{2}}\text{O} $
-It is heavier than air and soluble in water.
-It is neutral oxide of Nitrogen.
-It does not burn but supports combustion.
-If the mixture of $ {{\text{H}}_{2\text{ }}} $ and $ {{\text{N}}_{2\text{ }}}\text{O} $ taken in equal amount then it explodes with violence
 $ {{\text{N}}_{2}}\text{O}+{{\text{H}}_{2}}\to {{\text{N}}_{2\text{ }}}+{{\text{H}}_{2}}\text{O} $
Uses:
-It is used as a propellant gas. A mixture of $ {{\text{N}}_{2\text{ }}}\text{O} $ and $ {{\text{O}}_{2}} $ is used as an anesthetic in dental and other minor surgical operations.