I know some beginners will be tearing their hair out trying to dissolve 2kg of granulated cane sugar into 1 litre of water to make syrup which they can feed to their bees at the moment....so here's how I do it
pour:
2 litres of water
4kg sugar
into a 6 liter pressure cooker and stir. Apply a little heat on the hob and bring it up to pressure (mine operates at 7lb pressure) . By this time, the pressure will have helped dissolve the sugar and it will be a completely smooth syrup. No granulated sugar left that didn't go into suspension!
I hope this helps someone out there.
Sorry but I think this is UNhelpful advice for beginners.
And being the beginners section the advice should be straightforward and uncontroversial.
The amount of white sugar (sucrose) that will STAY dissolved when it is cooled down to top-of-hive Autumn temperatures, say 15C, can be found from standard scientific data.
At 15C the limit of solubility is 66% (two thirds of the weight is sugar, one third water, so 2:1 in metric units).
http://www.sugartech.com/solubility/index.php
If the temperature of the syrup falls even slightly below 15C, then excess sugar will be crystallised out of solution.
In real world feeder conditions, it isn't going to stay supersaturated for long.
Making the syrup too strong has a few disadvantages.
1/ In a rapid-type feeder (bees up and over), you'll waste sugar - the bees can't get at the stuff dumped out of solution.
2/ In a contact-type feeder (bees feeding from underneath), the likelihood is that the sugar crystals will block the bees access to the syrup, because they sink to the bottom of the feeder.
3/ In order to get the sugar to dissolve in the first place, you'll have to heat the water (and maybe even the sugar) to be pretty hot. The risk there is that you accelerate the chemical breakdown of sugar, forming the bee-toxic substance called (for short) HMF. HMF is brown and any browniness of the syrup (even straw-coloured) indicates that it has been overheated.
4/ You need to keep stirring to prevent the sugar crystals from 'burning' onto the hot pan. And you cannot do that in a pressure cooker! So using a pressure cooker risks making lots of HMF and other chemicals from the decomposition of sucrose.
At 110C (approx pressure cooker temperature - it is increased boiling temperature, due to pressurisation - not pressure alone - that speeds things up) sucrose (white sugar) solubility rises to almost 85%. That means that, under pressure, you could potentially get more than 5kg of sugar to dissolve in 1 kg (or litre) of water.
However, that means that after cooling back to 15C, you'd have about 3kg of sugar crystals reappearing!
IF there is an important lesson to learn it is that
when British beekeepers of the past were talking about "2 to 1" they were NOT using metric units!
They were using pounds for the sugar and pints for the water.
In metric, a kilogram of water is the same as a litre of water. But a pound of water IS NOT the same as a pint of water.
It was two of one measure for the sugar to one of a DIFFERENT measure for the water.
Using "2:1" with pounds and pints makes a weaker syrup than 2:1 metric.
It actually comes out to be about 62%.
Which dissolves easily, and doesn't produce crystals even at 2C.
If you want to make up strong syrup using metric units, make it up 60:40 (our continental friends call strong syrup "3:2" - which is 60:40). If you like more complicated arithmetic, use 62:38 ... but not 2:1 metric (66:33 is harder to dissolve, and risks crystallising out).
If you want stronger syrup still, the best advice for beginners is to buy some proper commercial bee syrup. (Not just High Fructose Corn Syrup.)
Due to being composed mainly of Glucose and Fructose - like honey - (and not Sucrose) these commercial bee syrups can have a sugar content up around 75%.
They don't ferment (unless they are diluted, for example with condensation) and excess can be stored for use next year.
Being stronger and not needing bee-processing to glucose and fructose, they can be taken faster and later than sucrose (white sugar) syrup. This may matter if you are after a late crop (for example from heather).
Otherwise, white sugar syrup at 3:2 (metric) is simple and cheap.
Beginners, with few hives, have no need of mixing up large quantities.
A kilo and a half of sugar to a litre of water is a simple and easily managed batch.
There is no need to make this any more complicated than that, until later in the season, perhaps October, when any hives still underweight at that point would benefit from a different dietary assistance.