The empirical formula of a compound is CH. One mole of compound has a mass of 42g, its molecular formula isa)CHb)CHc)CHd)CHCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

Answer

Answer

The empirical weight is 14 and molecular weight is 42.
x=molecular weight/empirical weight.
42/14=3
Molecular formula=empirical formula × x
=(CH2)3
=C3H6
So option C is correct.

Answer

- To determine the molecular formula of a compound, we need to know its empirical formula and its molar mass.
- The empirical formula of a compound gives the simplest whole number ratio of the atoms present in the compound.
- In this case, the empirical formula is CH, which means that for every carbon atom, there is one hydrogen atom.
- The molar mass of the compound is given as 42g.
- To calculate the molar mass of the empirical formula CH, we need to know the atomic masses of carbon and hydrogen.
- The atomic mass of carbon is approximately 12g/mol, and the atomic mass of hydrogen is approximately 1g/mol.
- So, the molar mass of the empirical formula CH is approximately 12g/mol (for carbon) + 1g/mol (for hydrogen) = 13g/mol.
- Since the molar mass of the compound is given as 42g, and the molar mass of the empirical formula CH is 13g/mol, we can calculate the molecular formula by dividing the molar mass of the compound by the molar mass of the empirical formula.
- 42g / 13g/mol ≈ 3.23 mol.
- This means that the compound contains approximately 3.23 times the number of atoms present in the empirical formula.
- To determine the molecular formula, we need to round this value to the nearest whole number ratio.
- Rounding 3.23 to the nearest whole number gives 3.
- Therefore, the molecular formula of the compound is approximately 3 times the empirical formula CH, which gives the molecular formula as CH₃.
- So, the correct answer is option C) CH₃.

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