How do you distinguish between isopropyl alcohol and t-butyl alcohol?

Answer 1

addition of potassium dichromate will create a colour change from orange to a blue/green colour in isopropanol, and will not change in t-butyl (assuming t-butyl is 2-methylpropan-2-ol)

If the OH group on the t-butyl is on one of the ends (2-methyl propan-1-ol), you would then add tollens reagent, and the isopropanol (now oxidised to propanal) would form a silver mirror on the sides of the test/boiling tube you are reacting in.