Final answer:
There are 280 grams of dextrose in 400 ml of a 70% dextrose solution, calculated by multiplying the volume by the concentration in decimal form.
Step-by-step explanation:
The student has asked how many grams of dextrose are in 400 ml of a 70% solution. To find this, you multiply the volume of the solution by its concentration (in decimal form) and the density of the solution, if that is known. However, since the density is not given, we will assume the density is approximately the same as water (1 g/ml) for this calculation, as it is common practice for dilute aqueous solutions.
First, convert the percentage to a decimal: 70% = 0.70. Then, calculate the mass of dextrose: Mass (dextrose) = Volume (solution) × Percentage (dextrose)
Substitute the values into the equation:
Mass (dextrose) = 400 ml × 0.70 = 280 g
Therefore, there are 280 grams of dextrose in 400 ml of a 70% dextrose solution.