Why conductivity decreases with increase in temperature?
Likewise, why electrical conductivity of metals decreases with increase in temperature?
When temperature increases, the thermal speed of the electrons increases as well as, the amplitude of vibration of the positive ions inside the metal conductor also increase, about their mean positions. Thus the ions can move more freely. Thus the resistivity decreases with an increase in temperature in electrolytes.
Just so, why thermal conductivity of liquids decrease with increase in temperature?
In gases, molecular collisions increase with the increase in temperature. As temperature increases, the randomness of molecular movements increases. This obstructs transport of heat through liquids. Thus, the thermal conductivity of liquids decreases with increase in temperature.
In this case of semiconductors as the temperature increases the electrons in the valence band get excited and jump into the conduction band and hence the conductance increases resulting in the dwindling of resistance. Thus conductivity increases and resistivity, the reciprocal of conductivity decreases.