\( t \) (1) How much diluent (in milliliters) must be added to prepare a 500,000 units \( / \mathrm{mL} \) strength? \( \square \) \( \times \mathrm{mL} \) eBook SUBMIT ANSWER

To prepare a final solution with a strength of 500,000 units/mL, you need to determine the total volume of the solution that will contain the desired units. For example, if you start with a concentrated solution that is much stronger than 500,000 units/mL, you would calculate the volume of the concentrated solution required and then subtract this from the final desired volume (e.g., 1 mL, 10 mL) to find out how much diluent to add. Remember, when diluting a concentrated solution, the formula \( C_1 \times V_1 = C_2 \times V_2 \) can come in handy, where \( C_1 \) is the concentration of the initial solution, \( V_1 \) is the volume of the initial solution, \( C_2 \) is the desired concentration, and \( V_2 \) is the final total volume of the diluted solution. Watch out for common mistakes like forgetting to convert units or miscalculating volumes!