ANSWER
The mass of solid dye the student will use to prepare the solution is 178.15 grams
STEP-BY-STEP EXPLANATION:
What to find? The grams of the solid dye
Giving parameters
The mole of red #40 dye = 0.359 M
The molecular mass of red#40 = 496.42g/mol
The grams of the red#40 dye can be calculated by using the below formula
[tex]\begin{gathered} \text{Mole = }\frac{\text{ reacting mass}}{\text{molar mass}} \\ \text{Introducing cross multiply} \\ \text{ reacting mass = mole x molar mass} \\ \text{ Reacting mass = 0.359 x 496.24} \\ \text{ reacting mass = 178.15 grams} \\ \end{gathered}[/tex]Hence, the mass of solid dye the student will use to prepare the solution is 178.15 grams