Question

Four containers of $2L$ capacity contain dinitrogen as described below. Which one contains the maximum number of molecules under similar conditions?

• A. $2.5gm-molecules$ of $N_2$
• B. $4gm-atom$ of nitrogen
• C. $3.01\times {10}^{24}N$ atoms
• D. $84gm$ of dinitrogen

Answer 1

The correct option is D $84gm$ of dinitrogen

$\left(1\right)2.5gm$-molecules of $N_2$:-
$1gm$-molecules of $N_2\to 6.022\times {10}^{23}$ molecules $N_2$
$2.5gm$-molecules of $N_2\to 15.055\times {10}^{23}$ molecules $N_2$
$=1.5055\times {10}^{24}$

$\left(2\right)4gm$-atom of nitrogen:-
$28gm$-atom of $N_2\to 6.022\times {10}^{23}$ atoms
$4gm$-atoms of $N_2\to 0.86\times {10}^{23}N$ atoms
$=0.086\times {10}^{24}N$ atoms

$\left(3\right)3.01\times {10}^{24}N$ atoms

$\left(4\right)28g{N}_2\to 6.022\times {10}^{23}$ atoms
$84g{N}_2\to 84\times 6.022\times {10}^{23}$ atoms
$=1.86\times {10}^{2}4$

Hence, option (D) is correct.