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Formula of ammonium bicarbonate is :-
A.\[\mathop {NH}\nolimits_4 \mathop {HCO}\nolimits_3 \]
B.$\mathop {(\mathop {NH}\nolimits_4 )}\nolimits_3 \mathop {CO}\nolimits_3 $
C.\[\mathop {NH}\nolimits_3 \mathop {HCO}\nolimits_2 \]
D.None of these

Answer
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Hint: Ammonium bicarbonate is an organic compound that is commonly known as ammonium hydrogen carbonate. It is a type of mild acid. It can be prepared by combining carbon dioxide and ammonia . It is unstable at high temperatures. Thus it is kept in cooler environments . It occurs as white crystalline solid.

Complete step by step answer:
Ammonium bicarbonate is formed when carbon dioxide and ammonia combine in the presence of
water \[\mathop {CO}\nolimits_2 {\text{ }} + {\text{ }}\mathop {NH}\nolimits_3 {\text{ }} + {\text{ }}\mathop H\nolimits_2 \mathop O\nolimits_{} {\text{ }} \to {\text{ }}\mathop {NH}\nolimits_4 \mathop {HCO}\nolimits_3 \]
Now let us match this formation with the options given
A.\[\mathop {NH}\nolimits_4 \mathop {HCO}\nolimits_3 \] :- ammonium bicarbonate is prepared by reaction of ammonia with carbon dioxide that is \[\mathop {CO}\nolimits_2 {\text{ }} + {\text{ }}\mathop {NH}\nolimits_3 {\text{ }} + {\text{ }}\mathop H\nolimits_2 \mathop O\nolimits_{} {\text{ }} \to {\text{ }}\mathop {NH}\nolimits_4 \mathop {HCO}\nolimits_3 \]. Hence compound forms have the same formula present in option. Thus this option is correct.
B.$\mathop {(\mathop {NH}\nolimits_4 )}\nolimits_3 \mathop {CO}\nolimits_3 $:- it has carbonate groups present in it. It is known as ammonium carbonate .Thus this option is not correct .
C.\[\mathop {NH}\nolimits_3 \mathop {HCO}\nolimits_2 \]:- when carbon dioxide and ammonia combine this compound does not form. Hence this option is not correct.
D.None of these :- Since option A is exactly correct . So this option can not be true .

Note:
Ammonium bicarbonate is usually formed when carbon dioxide gas is passed through aqueous ammonia. The gas is passed until formation of ammonium bicarbonate crystals are completely formed.