If you have solids that need to be dissolved, what can you do to speed the process up?
Heat the solvent...
The individual molecules are circulating more quickly in a heated liquid, which improves their capacity to dissolve the solid.
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There is a variety of things that could be tried....
Heating up the solvent is one possibility, provided the solvent is not too low boiling point, otherwise you may end up losing it all as vapour (and in the case of organic solvents, need to be mindful of heating method, due to flash point risks).
Other ways include:
(a) break the solid into smaller sized pieces - smaller pieces of the same quantity of solid will have a greater surface areea to volume ratio, and as solvation is initiated on the surfaces of solids, it means that the process takes place faster.
(b) increase the rate of stirring, this ensures that maximum amounts of surface are brought into contact with the solvent per unit time, thereby speeding up solvation.
(c) if the solid is one that needs to be pulled apart in order to be dissolved, for example, synthetic rubber being dissolved in oil, increase the rate of shear - use something like a Silverson mixer head instead of a paddle stirrer. This will ensure that bulk pieces are pulled apart faster and solvent/solute interactions maximised.
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To speed up the process of dissolving solids, you can:
- Increase the temperature of the solvent.
- Stir or agitate the mixture.
- Crush or grind the solid into smaller particles to increase surface area.
- Use a solvent that has a higher solubility for the solid.
- Increase the pressure, if applicable (e.g., for gases dissolving in liquids).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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