StepWorking
01Given
1 mole of hydrocarbon (X) consumes 1 mole of O3 to yield 1 mole of ethanal (CH3CHO) and 1 mole of propanone (CH3COCH3). Atomic masses: C=12 g/mol, H=1 g/mol.
02Find
Molar mass of hydrocarbon (X) in g⋅mol−1.
03Visualise
Ozonolysis cleaves a C=C double bond and replaces it with two C=O bonds. Reversing the ozonolysis: remove the two carbonyl oxygens and join the carbonyl carbons with a double bond: CH3−CH=C(CH3)2 (2-methylbut-2-ene).
04Strategise
Determine the molecular formula of (X). Ethanal (C2H4O) + Propanone (C3H6O) gives a combined carbon count of 2+3=5 and hydrogen count of 4+6=10. Hydrocarbon (X) is C5H10. Then compute its molar mass: M=5×12+10×1.
05Execute
Molar mass of C5H10=5×12+10×1=60+10=70 g/mol.
✓Verify
C5H10 has 1 degree of unsaturation (matching consumption of 1 mole O3), and gives 2-methylbut-2-ene which produces CH3CHO and CH3COCH3. Molar mass is exactly 70.