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The formula of metal chloride is MCl3. It contains 20% of metal. The atomic weight of metal is approximately
  • a)
    26.5
  • b)
    11.8
  • c)
    21.3
  • d)
    106.5
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The formula of metal chloride is MCl3. It contains 20% of metal. The a...
Calculation of Atomic Weight of Metal Chloride

Given:
Formula of metal chloride = MCl3
Percentage of metal in MCl3 = 20%

Let's assume the atomic weight of metal as x.
Then, the molecular weight of MCl3 will be:
Molecular weight of MCl3 = x + 3(35.5) [since Cl has atomic weight of 35.5]
Molecular weight of MCl3 = x + 106.5

Now, as per the given condition, the percentage of metal in MCl3 is 20%.
This means, the molecular weight of metal in MCl3 is 0.2 times the molecular weight of MCl3.
Molecular weight of metal in MCl3 = 0.2(x + 106.5)

As per the formula of metal chloride, we know that the molecular weight of metal in MCl3 is x.
Therefore, x = 0.2(x + 106.5)

Solving the above equation, we get:
0.8x = 21.3
x = 21.3/0.8
x = 26.625

Rounding off to the nearest integer, we get the atomic weight of metal as 26.5.

Answer: The atomic weight of metal is approximately 26.5.
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Community Answer
The formula of metal chloride is MCl3. It contains 20% of metal. The a...
Let atomic weight of metal =x

given that percentage of metal =20%

percentage of metal = atomic weight of metal / total moecular weight ×100
20 = x / 35.5×3 + x × 100
on solving the problem
x = 26.5 》 so the correct answer is A
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