When a hydrocarbon A undergoes complete combustion it requires equivalents of oxygen and produces equivalents of water. What is the molecular formula of A?
- A
- B
- C
- D
When a hydrocarbon A undergoes complete combustion it requires equivalents of oxygen and produces equivalents of water. What is the molecular formula of A?
Correct answer:A
Standard Method
Given: A hydrocarbon undergoes complete combustion, requires equivalents of oxygen, and produces equivalents of water.
Find: The molecular formula of the hydrocarbon.
Let the molecular formula of the hydrocarbon be . The balanced combustion reaction is:
From the amount of water produced:
So,
Using the oxygen requirement:
Substitute :
Therefore, the hydrocarbon is . The correct option is A.
The solution marks option D, but the working clearly gives , which matches option A in the listed options.
Using combustion stoichiometry carefully
Given: Hydrocarbon , oxygen required equivalents, water formed equivalents.
Find: Values of and .
For complete combustion of a hydrocarbon:
Hence, the coefficient of water is .
Since water produced is equivalents:
Now the oxygen coefficient in complete combustion is:
Given this is , we get:
Thus the molecular formula is .
Using the water coefficient as instead of is incorrect because each molecule of contains two hydrogen atoms. Match hydrogen atoms properly, then use for water.
Writing the oxygen coefficient as is wrong for the balanced combustion equation of . The correct coefficient of is because the oxygen atoms needed are , which correspond to molecules of .
Accepting the printed option label from the solution without checking the algebra is a mistake. The working gives , so the defensible answer must be the option containing that formula, which is A here.
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