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The+gravimetric+analysis+of+a+compound+is+40%+c,+6.7%+h+and+53.3%+o.+what+is+the+simplest+formula?

User Orlee
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Final answer:

The empirical formula of the compound with 40% C, 6.7% H, and 53.3% O is CH₂O.

Step-by-step explanation:

The empirical formula of the compound can be determined by finding the simplest whole-number ratio of the elements in the compound. To do this, we need to calculate the number of moles of each element in the compound.

First, assume we have a 100g sample of the compound. Using the given percentages, we can calculate the grams of each element:

  • Carbon (C): (40/100) x 100g = 40g
  • Hydrogen (H): (6.7/100) x 100g = 6.7g
  • Oxygen (O): (53.3/100) x 100g = 53.3g

Next, we need to convert the grams of each element to moles by dividing by their respective molar masses:

  • C: 40g / 12.01 g/mol = 3.33 moles
  • H: 6.7g / 1.008 g/mol = 6.65 moles
  • O: 53.3g / 16.00 g/mol = 3.33 moles

Finally, we divide the number of moles of each element by the smallest number of moles to find the simplest whole-number ratio. In this case, the smallest number of moles is 3.33:

  • C: 3.33 moles / 3.33 moles = 1
  • H: 6.65 moles / 3.33 moles ≈ 2
  • O: 3.33 moles / 3.33 moles = 1

Therefore, the simplest empirical formula of the compound is CH₂O.

User Kirankumar Dafda
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