Final answer:
The solution in the balloon is hypotonic relative to the solution in the beaker, leading to osmosis across the permeable membrane until isotonic equilibrium is achieved.
Step-by-step explanation:
In the lab, when you have a balloon filled with 20% sucrose and 80% water inside a beaker containing a solution of 40% sucrose and 60% water, the solution in the balloon is hypotonic relative to the solution in the beaker. This is because the solution in the balloon has a lower concentration of sucrose (solute) and a higher concentration of water (solvent) compared to the beaker's solution. Osmosis will occur through the permeable balloon membrane until the solutions reach isotonic equilibrium, where the concentration of water and sucrose is balanced on both sides.