Determine the molecular formula for compound hydrogen = 6.67% Carbon = 40% and the rest is oxygen
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good morning___________✌️✌️✌️
We are given that the compound contains 6.67% of hydrogen, 40 % of carbon and rest oxygen.
Therefore ;
100 grams of the compound will contain 6.67 g of hydrogen,
40 g of carbon and
(100 - 40 - 6.67)g = 53.33 g of oxygen.
Number of moles in 6.67g of hydrogen = mass of hydrogen / molar mass of hydrogen
= 6.67 / 1 = 6.67
Number of moles in 40g of carbon = 40 / 12 = 3.33
Number of moles in 53.33g of oxygen = 53.33 / 16 = 3.33
Now, we will calculate the simplest ratio of the elements by dividing the number of moles of each element by the smallest value,
that is 3.33.
Thus
we will get
Simplest ratio of elements =
C(3.33/3.33)H(6.67/3.33)O(3.33/3.33)
= CH2O
Thus the empirical formula of the substance is CH2O and therefore the empirical mass is
= (molar mass of carbon + 2 X molar mass of hydrogen + molar mass of oxygen)
= (12 + 2 + 16)
= 30g
Now, we know that the volume of one mole of gas is 22.4 L or 22400 cm3. We are given that 0.6g of the gas weighs 224 cm3. Thus
22400 cm3 of a gas = 1 mole
1cm3 = (1/22400) moles
224 cm3 = (224/22400) moles
= 0.01 moles
This means that the mass of 0.01 moles of a gas is 0.6g. Now we also have the relation
number of moles = mass of substance / molar mass of substance
0.01 = 0.6 / molar mass of substance
So molar mass of substance = 60g
Thus n = molar mass / empirical mass
= 60 / 30
= 2
So, the molecular formula of the substance will be (CH2O)2 = C2H4O2
Thanks and regards
Ajay
B.tech , IIT(BHU)Varanasi
good morning___________✌️✌️✌️
We are given that the compound contains 6.67% of hydrogen, 40 % of carbon and rest oxygen.
Therefore ;
100 grams of the compound will contain 6.67 g of hydrogen,
40 g of carbon and
(100 - 40 - 6.67)g = 53.33 g of oxygen.
Number of moles in 6.67g of hydrogen = mass of hydrogen / molar mass of hydrogen
= 6.67 / 1 = 6.67
Number of moles in 40g of carbon = 40 / 12 = 3.33
Number of moles in 53.33g of oxygen = 53.33 / 16 = 3.33
Now, we will calculate the simplest ratio of the elements by dividing the number of moles of each element by the smallest value,
that is 3.33.
Thus
we will get
Simplest ratio of elements =
C(3.33/3.33)H(6.67/3.33)O(3.33/3.33)
= CH2O
Thus the empirical formula of the substance is CH2O and therefore the empirical mass is
= (molar mass of carbon + 2 X molar mass of hydrogen + molar mass of oxygen)
= (12 + 2 + 16)
= 30g
Now, we know that the volume of one mole of gas is 22.4 L or 22400 cm3. We are given that 0.6g of the gas weighs 224 cm3. Thus
22400 cm3 of a gas = 1 mole
1cm3 = (1/22400) moles
224 cm3 = (224/22400) moles
= 0.01 moles
This means that the mass of 0.01 moles of a gas is 0.6g. Now we also have the relation
number of moles = mass of substance / molar mass of substance
0.01 = 0.6 / molar mass of substance
So molar mass of substance = 60g
Thus n = molar mass / empirical mass
= 60 / 30
= 2
So, the molecular formula of the substance will be (CH2O)2 = C2H4O2
Thanks and regards
Ajay
B.tech , IIT(BHU)Varanasi
Anonymous:
Awesome answer Bhaiya !!
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