This is what I know about lime and is specific to the place where I come from, I do not know if things are different around here. There are two different types: one is chuna the other is kali, depending on the topographic location where they are found. Chuna is made by baking as the stone which is called kachha dagad and is found on the plains. When the stone is from the mountains, burning it in a kiln will give you kali. The difference between kali and chuna is that kali is pure bright white while chuna is off white.
Kali is far richer than chuna and this ‘Chinkni’, lubricious kali will crack more. Hence more quantity of surkhi needs to be added to kali. This creamy and luscious kali is used in superior finishes of walls and for whitewashes. Chuna will require a lesser quantity of surkhi to be added and used for rougher works.