Among the following, choose the ones with equal number of atoms. A. 212 g of [molar mass = 106 g] B. 248 g of [molar mass = 62 g] C. 240 g of [molar mass = 40 g] D. 12 g of [molar mass = 2 g] E. 220 g of [molar mass = 44 g] Choose the correct answer

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Solution

Q.
Among the following, choose the ones with equal number of atoms.
A. 212 g of ${Na}_{2} {CO}_{3 (s)}$ [molar mass = 106 g]
B. 248 g of ${Na}_{2} O_{(s)}$ [molar mass = 62 g]
C. 240 g of ${NaOH}_{(s)}$ [molar mass = 40 g]
D. 12 g of $H_{2 (g)}$ [molar mass = 2 g]
E. 220 g of ${CO}_{2 (g)}$ [molar mass = 44 g]

Choose the correct answer from the options given below: [2025]

1 B, C, and D only

2 B, D, and E only

3 A, B, and C only

4 A, B, and D only

Ans.
(4)

A. No. of atoms in 212 g of ${Na}_{2} {CO}_{3}$ $= \frac{6 \times N_{A} \times 212}{106} = 12 N_{A}$

B.   No. of atoms in 248 g of ${Na}_{2} O = \frac{3 \times N_{A} \times 248}{62} = 12 N_{A}$

C.   No. of atoms in 240 g of NaOH $= \frac{3 \times N_{A} \times 240}{40} = 18 N_{A}$

D.   No. of atoms in 12 g of $H_{2} = \frac{2 \times N_{A} \times 12}{2} = 12 N_{A}$

E.   No. of atoms in 220 g of ${CO}_{2} = \frac{3 \times N_{A} \times 220}{44} = 15 N_{A}$

$∴$ A, B and D have equal number of atoms.

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