What is the amount of drug in grams in 2000ml of a 70% solution?

Study for the Pharmacy Technician Certification Board Math Exam. Prepare with flashcards and multiple choice questions, each question includes hints and explanations. Excel in your exam!

To determine the amount of drug in grams in a 2000 ml solution of 70%, you need to understand how percentage concentrations work. A 70% solution means that 70 grams of the drug are present in every 100 ml of the solution.

First, calculate the total grams of drug in the 2000 ml solution. Since the concentration is 70%, we set up the equation based on the volume of the solution:

  1. Calculate the total number of grams in 2000 ml:

[

\text{Total grams} = \left( \frac{70 \text{ grams}}{100 \text{ ml}} \right) \times 2000 \text{ ml}

]

  1. Simplifying this gives:

[

\text{Total grams} = 70 \times 20 = 1400 \text{ grams}

]

Thus, in a 2000 ml of a 70% solution, there are 1400 grams of the drug. This is why the correct answer is indeed 1400 grams. It accurately reflects the calculations based on the percentage concentration provided in the question.

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