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What is the mass of carbon dioxide which contains the same number of molecules as are contained in 40 g of oxygen?
  • a)
    40g
  • b)
    55g
  • c)
    32g
  • d)
    44g
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the mass of carbon dioxide which contains the same number of m...
Molar mass of O2 = 32 g mol-1
32 g of O2 = 6.023 x 1023 molecules
40 g of O = 7.529 x 1023 molecules
Mass of 6.023 x 1023 molecules of CO2 = 44 g
Mass of 7.529 x 1023 molecules of CO2
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Most Upvoted Answer
What is the mass of carbon dioxide which contains the same number of m...
Given:
Mass of oxygen = 40 g
To find:
Mass of carbon dioxide containing the same number of molecules as in 40 g of oxygen

Solution:
To solve this problem, we need to use the concept of molar mass and Avogadro's number.

Step 1: Find the number of molecules in 40 g of oxygen.
The molar mass of oxygen (O₂) is 32 g/mol.
Number of moles of O₂ = Mass / Molar mass = 40 / 32 = 1.25 mol
Number of molecules of O₂ = Number of moles * Avogadro's number
= 1.25 mol * 6.022 x 10²³/mol
= 7.53 x 10²³ molecules

Step 2: Find the mass of carbon dioxide containing the same number of molecules as in 40 g of oxygen.
The molar mass of carbon dioxide (CO₂) is 44 g/mol.
Number of moles of CO₂ = Number of molecules / Avogadro's number
= 7.53 x 10²³ molecules / 6.022 x 10²³/mol
= 1.25 mol
Mass of CO₂ = Number of moles * Molar mass
= 1.25 mol * 44 g/mol
= 55 g

Therefore, the mass of carbon dioxide containing the same number of molecules as in 40 g of oxygen is 55 g.

Answer: (b) 55 g
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