You need 550. mL of a 4.9% (m/v) glucose solution. If you have a 23 % (m/v) glucose solution on hand, how many milliters of this solution do you need?

Question

Express your answer to two significant figures and include the appropriate units.

Answer 1

To find the amount of the 23% (m/v) glucose solution needed, we can set up a proportion. Let x be the number of milliliters of the 23% solution needed.

(23 g glucose / 100 mL solution) = (4.9 g glucose / 550 mL solution)

Cross-multiplying, we get:

23 g glucose * 550 mL solution = 4.9 g glucose * x mL solution

Simplifying, we find:

12650 g·mL = 4.9 g·mL·x

Dividing both sides by 4.9 g·mL, we get:

(12650 g·mL) / (4.9 g·mL) = x

x ≈ 2580 mL

Therefore, you need approximately 2580 mL of the 23% (m/v) glucose solution.