Why does conductivity of a semiconductor increase with rise in temperature?

How does conductivity of a semi conductor change with the rise in temperature ?

Electric conductivity of a semiconductor:

How does the conductivity of semi-conductors varies with the rise in their temperature ?

How does the conductance of a semiconducting material change with rise in temperature?

Write the mathematical relation for the resistivity of a material in terms of relaxation time, number density, mass and charge carries in it. Explain using this relation, why the resistivity of a metal increases and that of semiconductor decreases with rise in temperature.

Why does the conductivity of a solution decrease with dilution?