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Sodium Hydroxide ($NaOH$) liberates $N{H_3}$ with:
A. $N{H_4}Cl$
B. ${(N{H_4})_2}S{O_4}$
C. ${(N{H_4})_2}C{O_3}$
D. all the above

Answer
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Hint: All the following options are salts of ammonia which are formed by reacting ammonia with different acids such as $HCl$ , ${H_2}S{O_4}$ and ${H_2}C{O_3}$ respectively. Ammonia acts as a gas having the chemical formula $N{H_3}$.

Complete answer:
$N{H_4}Cl$ , ${(N{H_4})_2}S{O_4}$ and ${(N{H_4})_2}C{O_3}$ all are actually salts of ammonia which formed by reacting ammonia with acids $HCl$, ${H_2}S{O_4}$ and ${H_2}C{O_3}$​ respectively. Hence, when they are reacted with aqueous sodium hydroxide solution they are used to release ammonia gas.
 Ammonia is actually a nutritious, an inorganic nitrogen compound which occurs naturally in the air, soil, water and living tissues. At around room temperature, it acts as a gas having the chemical formula $N{H_3}$ in the gaseous phase and when it is dissolved in water, much of the compound ionizes to $N{H_4}^ + $ (known as ammonium ion).

Hence, Option D is correct.

Additional Information:
$N{H_3}$ is a gas and sometimes known as toxic or free ammonia. At normal conditions, $N{H_3}$ (ammonia) and $N{H_4}$ (ammonium) will both be present there in aqueous water. The two of them exist at an equilibrium point which is governed widely by pH and temperature.
Around 80 percent of the ammonia is produced by industry which is used in agriculture as a fertilizer. Ammonia is also known for used as a refrigerant gas, for purification of water supplies, and also in the manufacture of plastics, explosives, textiles, pesticides, dyes and various other chemicals
$NaOH$ is actually a strongly basic versatile, an inorganic compound usually referred to as caustic soda, lye, or sodium hydrate. The common laboratory alkali is useful for general cleaning of equipment, buffer solutions, and titrations, among various other uses.
$N{H_4}Cl$ is an inorganic compound having the chemical name Ammonium Chloride. It is also called sal ammoniac, which is the salt of ammonia and hydrogen chloride. It is actually a by-product of sodium carbonate. It has a diuretic as well as expectorant effects. In its purest form, it is crystalline white salt.

Note: By checking the hint and the following options, questions can be easily answered. Hence, when they all are reacted with aqueous sodium hydroxide solution they used to release ammonia gas