Question

To obtain 1.98 g of glucose, how many milliliters of a 0.3M glucose solution will have to be used?

a) 6.60 mL
b) 33.00 mL
c) 15.84 mL
d) 66.00 mL

Answer 1

The volume of a 0.3M glucose solution needed to obtain 1.98 g of glucose is calculated to be approximately 36.7 mL. This does not match the provided options, but the closest is 33.00 mL.

Step-by-step explanation:

The question asks to determine the volume of a 0.3M glucose solution needed to obtain 1.98 g of glucose. To solve this, we use the formula:

Volume (L) = Amount of solute (mol) / Concentration (M)

First, calculate the amount of glucose in moles:

Glucose (C6H12O6) has a molar mass of about 180.16 g/mol.

Amount of glucose = 1.98 g / 180.16 g/mol ≈ 0.011 mol

Next, solve for the volume:

Volume = Amount of glucose (mol) / Concentration (M) = 0.011 mol / 0.3 M

Volume ≈ 0.0367 L

Since the question asks for the volume in milliliters (mL), we convert liters to milliliters:

1 L = 1000 mL

Volume ≈ 0.0367 L × 1000 mL/L ≈ 36.7 mL

This volume does not match options provided in the question, indicating there might be a typo in the original question or the options provided. However, the closest matching option, based on this calculation, would be option (b) 33.00 mL.