Step 1:

Time taken for the electrolysis of = 58.2 sec.

Current required for the electrolysis of = 2 amp.

Weight of plate = 0.0719g.

Step 2:

Step 3:

Convert charge into Moles per electron :

Step 4:

Now convert amount of substance per one electron.

.

Step 5:

Find out the Molecular weight.

Therefore Molecular Weight of the substance is197.11 MW

From the periodic table, The substance having molecular weight 197.11 is Gold(Au).

Therefore Metal is gold.

Solution:

The unknown metal is gold.