If you need to prepare 300ml of a 10mg/5ml methylphenidate suspension, how many tablets of 20mg/tablet will you need?

To determine how many 20 mg tablets are needed to prepare 300 ml of a 10 mg/5 ml methylphenidate suspension, it’s essential to first calculate the total amount of methylphenidate required for the entire volume of suspension.

1. Total Concentration Calculation: The concentration of the suspension is 10 mg per 5 ml. To find out how much is needed for 300 ml, the calculation is as follows:

[

\text{Total mg needed} = \left(\frac{10 \text{ mg}}{5 \text{ ml}}\right) \times 300 \text{ ml}

]

Simplifying this, you can convert the ratio:

[

\frac{10 \text{ mg}}{5 \text{ ml}} = 2 \text{ mg/ml}

]

Then, multiplying by 300 ml gives:

[

2 \text{ mg/ml} \times 300 \text{ ml} = 600 \text{ mg}

]

2. Tablet Calculation: Now, knowing that a single tablet contains 20 mg of methylphenidate, we can determine how many