Identification of types of alcohols
Reaction of tertiary alcohol with NaH

As all types of alcohol can easily reacts with NaH to produce hydrogen gas and sodium salt of alkoxide ion or alcohol. This shows alcohols have acidic hydrogen. It is type substitution reaction. The general reaction is as follows : 



When tertiary alcohol say $\ce{(CH3)3COH}$ reacts with $\ce{NaH}$, hydrogen gas is released as follows : 
$$ \ce{(CH3)3COH + NaH  -&gt;  (CH3)3CONa + H2}$$

No acetylation of tertiary alcohol occurs under normal conditions

The acetylation means addition of acetyl group to a substrate. In the case of primary alcohol, acetylation is done under normal condition. Reactivity of secondary alcohol is somehow decrease for acetylation. In the case of tertiary alcohol, it is possible in extreme conditions. There is main reason behind. 

As we know acetylation is nucleophilic substitution reaction. Here, the attacking nucleophile for acetylation of alcohol is alkoxide ion. More is nucleophilicity, more be reactivity of nucleophile to attack at carbon of carbonyl group of acetyl chloride. 

Nucleophilicity order : $\ce{CH3O- &gt; CH3CH2O- &gt; (CH3)2CHO- &gt; (CH3)3CO-}$

This is reason that tertiary alcohols are least reactive for acetylation. You can more understand by the following mechanism : 



Oxidation of tertiary alcohol 

Tertiary alcohols Undergo oxidation with oxidizing agents such as chromium tri oxide, potassium permanganate, potassium di chromate or nitric acid in neutral, acidic or alkaline medium to give the products. The oxidation may be partial or complete. Tertiary alcohols does not get oxidized by mild oxidizing agents either in aqueous, alkaline or under neutral conditions. They undergo oxidation under acidic condition.In this process of oxidation tertiary alcohols first undergo dehydration to form alkenes. The alkene thus formed then undergoes further oxidation and forms a ketone with one carbon atom less than the alkene. On further oxidation the ketone forms carboxylic acid with one more carbon atom less than the ketone. Thus the oxidation of tertiary alcohol gives a product with less number of carbon atoms than that of the original alcohol taken.