Give precise instructions to your laboratory assistant as to how to prepare \(1.00 \mathrm{~L}\) of a \(1.00 \mathrm{M}\) aqueous solution of sucrose, \(\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}\). Remember that she will be measuring out the sucrose in grams. She has available a 1-L volumetric flask.

Short Answer

Expert verified
First, calculate the molecular weight of sucrose, C12H22O11, which is 342.34 g/mol. To prepare a 1.00 L, 1.00 M solution, you'll need to weigh out 342.34 grams of sucrose. Transfer the sucrose to a 1-L volumetric flask and fill it halfway with distilled water. Stir using a glass rod until sucrose is completely dissolved. Slowly add water until the meniscus reaches the 1-L mark. Attach the stopper and gently mix the solution by inverting it multiple times.

Step by step solution

01

Calculate the molecular weight of sucrose (C12H22O11)

First, we need to find the molecular weight of sucrose. This can be found by multiplying the number of atoms of each element by their respective molar masses and then adding the products together: Molecular weight of sucrose = (12 * \(C\)) + (22 * \(H\)) + (11 * \(O\)), where \(C\), \(H\), and \(O\) are the molar masses of carbon, hydrogen, and oxygen, respectively. Using the molar masses: \(C = 12.01 \mathrm{~g/mol}\), \(H = 1.01 \mathrm{~g/mol}\), and \(O = 16.00 \mathrm{~g/mol}\), we have: Molecular weight of sucrose = (12 * 12.01) + (22 * 1.01) + (11 * 16.00) = 144.12 + 22.22 + 176.00 = 342.34 g/mol.
02

Convert molarity to mass of sucrose required

We're asked to prepare a 1.00 L aqueous solution of sucrose with a concentration of 1.00 M. To find how many grams of sucrose are needed for this, we use the formula: Mass of sucrose = Molarity * Molecular weight * Volume of solution Plug in the values: 1.00 M * 342.34 g/mol * 1.00 L = 342.34 g So, 342.34 grams of sucrose is required.
03

Prepare the 1.00 L solution of sucrose in the 1-L volumetric flask

Follow these steps to prepare the solution: 1. Weigh 342.34 grams of sucrose using an electronic balance and transfer it to the 1-L volumetric flask. Do this carefully to ensure that all sucrose is transferred to the flask. 2. Add distilled water to the sucrose-containing flask, filling it approximately halfway. 3. Use a glass stirring rod to stir the contents of the flask until the sucrose is completely dissolved in the water. This may take a few minutes. 4. Once the sucrose has dissolved, slowly add distilled water to the flask until the meniscus reaches the 1-L mark on the flask. Be careful not to add too much water, as the meniscus should just touch the 1-L mark. 5. Attach the flask's stopper, and mix the solution gently by inverting the flask several times. Be sure to hold the stopper in place to prevent spills. Now, the 1.00 L of a 1.00 M aqueous solution of sucrose is prepared, and the laboratory assistant should store the volumetric flask in a safe and appropriate location until it is needed for further use.

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