Question Details

Among the following, choose the ones with equal number of atoms.


A. 212 g of Na2CO3 (s)   [molar mass = 106 g]
B. 248 g of Na2O (s)   [molar mass = 62 g]
C. 240 g of NaOH (s)   [molar mass = 40 g]
D. 12 g of H2 (g)   [molar mass = 2 g]
E. 220 g of CO2 (g)   [molar mass = 44 g]


Choose the correct answer from the options given below:

Options

A

A, B, and C only

B

A, B, and D only

C

B, C, and D only

D

B, D, and E only

Show Answer

Correct Answer :

Option B

A, B, and D only

A, B, and D only

Solution :

The correct option is A, B, and D only.

To find the ones with an equal number of atoms, we need to calculate the total number of atoms in each given sample. The total number of atoms in a substance can be calculated using the formula:
Number of atoms = (Mass of substance / Molar mass) × Number of atoms per formula unit/molecule × NA
where NA is Avogadro's number (NA).

Let's calculate the total number of atoms for each case step-by-step:

A. 212 g of Na2CO3 (s) [molar mass = 106 g/mol]
Number of moles of Na2CO3 = 212 106 = 2  mol
Each formula unit of Na2CO3 contains 2 Na + 1 C + 3 O = 6 atoms.
Total number of atoms = 2 × 6 × N A = 12 N A

B. 248 g of Na2O (s) [molar mass = 62 g/mol]
Number of moles of Na2O = 248 62 = 4  mol
Each formula unit of Na2O contains 2 Na + 1 O = 3 atoms.
Total number of atoms = 4 × 3 × N A = 12 N A

C. 240 g of NaOH (s) [molar mass = 40 g/mol]
Number of moles of NaOH = 240 40 = 6  mol
Each formula unit of NaOH contains 1 Na + 1 O + 1 H = 3 atoms.
Total number of atoms = 6 × 3 × N A = 18 N A

D. 12 g of H2 (g) [molar mass = 2 g/mol]
Number of moles of H2 = 12 2 = 6  mol
Each molecule of H2 contains 2 H atoms.
Total number of atoms = 6 × 2 × N A = 12 N A

E. 220 g of CO2 (g) [molar mass = 44 g/mol]
Number of moles of CO2 = 220 44 = 5  mol
Each molecule of CO2 contains 1 C + 2 O = 3 atoms.
Total number of atoms = 5 × 3 × N A = 15 N A

Comparing the total number of atoms calculated:
- A has 12 NA atoms.
- B has 12 NA atoms.
- C has 18 NA atoms.
- D has 12 NA atoms.
- E has 15 NA atoms.

Therefore, samples A, B, and D contain an equal number of atoms.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • JEE
  • intermediate
  • 3 hours
  • chemistry, mathematics, physics
  • Proctored

  • JEE
  • intermediate
  • 3 hours
  • chemistry, mathematics, physics

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...