According to the question we have to perform the following conversion: -

The above conversion can be done easily by dehydrating 1- propanol with conc.H₂SO₄ at 413 K.

The mechanism of the above reaction is as follows : -

The mechanism is given below: -

In the first step, the alcohol gets protonated by the acid present to give a protonated alcohol.

In the second step, the nucleophilic attack of another alcohol molecule on the protonated alcohol gives us 1-propoxypropane as the desired product.