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Two oxides of a metal contain 50% and 40% metal (M) respectively. If the formula of first oxide is MO2, the formula of second oxide will be
  • a)
    MO2
  • b)
    MO3
  • c)
    M2O
  • d)
    M2O3
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Two oxides of a metal contain 50% and 40%metal (M)respectively. If the...
Given Information:
- Two oxides of a metal contain 50% and 40% metal (M) respectively.
- The formula of the first oxide is MO2.

To Find:
The formula of the second oxide.

Solution:

Step 1: Calculate the oxygen content in both oxides.
Let's assume the first oxide contains x moles of oxygen.
Therefore, the second oxide will contain (x+1) moles of oxygen.

Step 2: Calculate the metal content in both oxides.
- The first oxide contains 50% metal. Therefore, it contains 50% oxygen as well. So, the ratio of metal to oxygen in the first oxide is 1:1.
- The second oxide contains 40% metal. Therefore, it contains 60% oxygen. So, the ratio of metal to oxygen in the second oxide is 2:3.

Step 3: Equate the metal content in both oxides.
- The first oxide contains 1 mole of metal for every 1 mole of oxygen.
- The second oxide contains 2 moles of metal for every 3 moles of oxygen.

Step 4: Set up the equation and solve for x.
1 mole metal : 1 mole oxygen = 2 moles metal : 3 moles oxygen
1 : 1 = 2 : 3
1/1 = 2/3
3 = 2

Step 5: Conclusion
Since the equation does not hold true, we can conclude that the assumption made in Step 1 (x moles of oxygen) is incorrect.

Final Answer:
The formula of the second oxide cannot be determined with the given information.
Free Test
Community Answer
Two oxides of a metal contain 50% and 40%metal (M)respectively. If the...

As first oxide is MO2
Let atomic mass of M = x

Or 0.5 x x + 16 = 32
Or 0.5 x = 16
x=32
∴ At. Mass of metal  m = 32
Let formula of second oxide is M2On

Therefore, formula of second oxide = M2O6
 Or =MO3
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Two oxides of a metal contain 50% and 40%metal (M)respectively. If the formula of firstoxide is MO2,the formula of second oxide will bea)MO2b)MO3c)M2Od)M2O3Correct answer is option 'B'. Can you explain this answer?
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