Final answer:
To find the grams of compound X needed for a 1.5 M solution, multiply the desired molarity by the volume of solution and the molar mass of X. However, with the given options and information, none match the calculation for a 1.5 M solution.
Step-by-step explanation:
To determine how many grams of compound X with a molar mass (MM) of 292.81 g/mol are required to create a 1.5 M solution, we first need to understand the definition of molarity (M), which is moles of solute per liter of solution. To prepare a 1.5 M solution, we need 1.5 moles of compound X per liter of solution.
Step 1: Calculate the number of moles needed for a 1-liter solution using the desired molarity (1.5 M).
- 1.5 moles/L × 1 L = 1.5 moles of compound X
Step 2: Convert the number of moles to grams using the molar mass of compound X.
- 1.5 moles × 292.81 g/mol = 439.215 g
However, since there are no options that match this calculation exactly, it is likely that the volume required for the solution is not stated correctly in the question, or there could be additional information not provided that would affect the calculation. Therefore, with the given information, none of the provided options (0.0075 g, 1 g, 2 g, 6 g) are correct for making a 1.5 M solution.