Question

The general formula of alcohols is:
A. $C_{N/2}{H}_{2N+1}OH$
B. $C_N{H}_{N+2}OH$
C. $C_N{H}_{2N}OH$
D. $C_N{H}_{2N+1}OH$

Answer 1

Hint: We should know that Alcohols are the derivatives of hydrocarbons in which generally one of the hydrogen atoms in the alkane has been replaced by a hydroxyl group. Now you should try to answer it accordingly.

Complete step by step answer:

Now we will try to give a stepwise answer by using elimination method-

As we already know in general the formula of alcohol will contain a minimum one -OH group. But here all the formulae have -OH groups in them.
Now, we know that formula of alkane (which is a general hydrocarbon) is - $C_N{H}_{2N+2}$
We have to remove one Hydrogen from this formula so that we can attach the -OH group here -
So, after removing hydrogen the formula will be - $C_N{H}_{2N+1}$
And, now we will attach the -OH group in the above formula - $C_N{H}_{2N+1}OH$

Therefore, we can conclude that the correct answer to this question is option D.

Additional information:
As we already know this is the general formula for alcohols $C_N{H}_{2N+1}OH$
Now if we put N =1, we will get the simplest alcohol $C{H}_{3}OH$, which is known as methanol.
For N = 2, the formula will be $C_2{H}_{5}OH$. It is known as ethanol, which has lots of applications.

Note: We should also know that the formula $C_N{H}_{2N+1}OH$ can also be converted to the form $C_N{H}_{2N+2}O$. Here, you have to notice that there is no significant change in the formula, we have only arranged the position of hydrogen.