Q1 / 75 · JEE Main 2026 (08 April Shift 2) · Chemistry
Match List-I with List-II.List-I
Mass of substance List-II
Number of atoms A. $1.8$ mg water I. $2\times 10^{-4}\times N_A$ B. $9.8$ mg sulphuric acid II. $1.5\times 10^{-4}\times N_A$ C. $1.8$ mg carbon III. $3\times 10^{-4}\times N_A$ D. $5.85$ mg salt (NaCl) IV. $7\times 10^{-4}\times N_A$
Choose the correct answer from the options given below:
| List-I Mass of substance | List-II Number of atoms |
|---|---|
| A. $1.8$ mg water | I. $2\times 10^{-4}\times N_A$ |
| B. $9.8$ mg sulphuric acid | II. $1.5\times 10^{-4}\times N_A$ |
| C. $1.8$ mg carbon | III. $3\times 10^{-4}\times N_A$ |
| D. $5.85$ mg salt (NaCl) | IV. $7\times 10^{-4}\times N_A$ |
- AA-IV, B-III, C-I, D-II
- BA-III, B-II, C-IV, D-I
- Correct answerCA-III, B-IV, C-II, D-I
- DA-III, B-IV, C-I, D-II
Solution
For A: Molar mass of $H_2O = 18$ g/mol. Moles of $H_2O = \dfrac{1.8 \times 10^{-3}}{18} = 10^{-4}$. Since each $H_2O$ molecule has $3$ atoms, the number of atoms = $3 \times 10^{-4} \times N_A$.
For B: Molar mass of $H_2SO_4 = 98$ g/mol. Moles of $H_2SO_4 = \dfrac{9.8 \times 10^{-3}}{98} = 10^{-4}$. Since each $H_2SO_4$ molecule has $7$ atoms, the number of atoms = $7 \times 10^{-4} \times N_A$.
For C: Molar mass of $C = 12$ g/mol. Moles of $C = \dfrac{1.8 \times 10^{-3}}{12} = 1.5 \times 10^{-4}$. The number of atoms = $1.5 \times 10^{-4} \times N_A$.
For D: Molar mass of $NaCl = 58.5$ g/mol. Moles of $NaCl = \dfrac{5.85 \times 10^{-3}}{58.5} = 10^{-4}$. Since each $NaCl$ formula unit has $2$ atoms, the number of atoms = $2 \times 10^{-4} \times N_A$.
Thus, the correct matching is A-III, B-IV, C-II, D-I.
Answer: A-III, B-IV, C-II, D-I
For B: Molar mass of $H_2SO_4 = 98$ g/mol. Moles of $H_2SO_4 = \dfrac{9.8 \times 10^{-3}}{98} = 10^{-4}$. Since each $H_2SO_4$ molecule has $7$ atoms, the number of atoms = $7 \times 10^{-4} \times N_A$.
For C: Molar mass of $C = 12$ g/mol. Moles of $C = \dfrac{1.8 \times 10^{-3}}{12} = 1.5 \times 10^{-4}$. The number of atoms = $1.5 \times 10^{-4} \times N_A$.
For D: Molar mass of $NaCl = 58.5$ g/mol. Moles of $NaCl = \dfrac{5.85 \times 10^{-3}}{58.5} = 10^{-4}$. Since each $NaCl$ formula unit has $2$ atoms, the number of atoms = $2 \times 10^{-4} \times N_A$.
Thus, the correct matching is A-III, B-IV, C-II, D-I.
Answer: A-III, B-IV, C-II, D-I
Hence, the correct answer is option: 'C'.