\( \mathrm{A} + 2\mathrm{B} \longrightarrow \mathrm{AB_2} \)
\( 36.0 \, \text{g} \) of ‘\( \mathrm{A} \)’ (Molar mass: \( 60 \, \mathrm{gm \, mol^{-1}} \)) and \( 56.0 \, \text{g} \) of ‘\( \mathrm{B} \)’ (Molar mass: \( 80 \, \mathrm{gm \, mol^{-1}} \)) are allowed to react. Which of the following statements are correct?
\( \mathrm{A}. \) ‘\( \mathrm{A} \)’ is the limiting reagent.
\( \mathrm{B}. \) \( 77.0 \, \text{g} \) of \( \mathrm{AB_2} \) is formed.
\( \mathrm{C}. \) Molar mass of \( \mathrm{AB_2} \) is \( 140 \, \mathrm{gm \, mol^{-1}} \).
\( \mathrm{D}. \) \( 15.0 \, \text{g} \) of \( \mathrm{A} \) is left unreacted after the completion of reaction.
Choose the correct answer from the options given below:
