If .03 M of sucrose and .02 M of glucose rest inside a cell and .01 M of sucrose, glucose, and fructose rest outside in the environment, which solutes will exhibit next diffusion into the cell and out of the cell?

To determine which solutes will exhibit the next diffusion into and out of the cell, we need to compare the concentrations inside and outside the cell.

Inside the cell:
- Sucrose concentration = 0.03 M
- Glucose concentration = 0.02 M

Outside the cell:
- Sucrose concentration = 0.01 M
- Glucose concentration = 0.01 M
- Fructose concentration = 0.01 M

Diffusion is the movement of solutes from an area of higher concentration to an area of lower concentration. So, solutes will generally move from an area of higher concentration to an area of lower concentration until equilibrium is reached.

Comparing the concentrations, we can see that both sucrose and glucose have higher concentrations inside the cell compared to outside the cell. This means that sucrose and glucose will both tend to diffuse out of the cell until equilibrium is reached.

On the other hand, the concentrations of sucrose, glucose, and fructose outside the cell are the same. This means there is no concentration gradient, and therefore, there will be no net movement of any of these solutes from outside the cell to inside the cell or vice versa.

In summary, based on the given concentrations, both sucrose and glucose will tend to diffuse out of the cell, while there will be no net diffusion of solutes from outside to inside the cell or vice versa for sucrose, glucose, or fructose.