Formation of symmetrical ether or dehydration of primary alcohol?

My textbook gives the formation of diethyl ether from dehydration of ethyl alcohol:



> 
> $\ce{\underset{\text{ethyl alcohol}}{2C2H5-OH} ->[\text{conc.} H2SO4][413~K] \underset{\text{diethyl ether}}{C2H5-O-C2H5} + H2O}$
> 
> 
> 


In the reaction where it is said that concentrated $\ce{H2SO4}$ at temperature $413~\mathrm K$ is used as a catalyst, will the primary alcohol not dehydrate to form alkene?


Concentrated sulfuric acid is a strong dehydrating agent, and is used as $95~\%$ concentrated when dehydrating primary alcohol. So will the alcohol dehydrate or will the diethyl ether be formed?


