An aqueous solution of glucose is \(10 \%\) \((\mathrm{w} / \mathrm{v}) .\) The volume in which \(1 \mathrm{~mole}\) of glucose is dissolved, will be (a) 181 (b) 91 (c) \(0.91\) (d) \(1.81\)

Short Answer

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Answer: (a) 181 mL

Step by step solution

01

Determine the molar mass of glucose

Glucose has the molecular formula C6H12O6. The molar mass of each element in the formula can be found in a periodic table: - Carbon (C): 12.01 g/mol - Hydrogen (H): 1.01 g/mol - Oxygen (O): 16.00 g/mol Using these values, we can find the molar mass of glucose: (6 * 12.01) + (12 * 1.01) + (6 * 16.00) = 72.06 + 12.12 + 96.00 = 180.18 g/mol
02

Calculate the mass of one mole of glucose

Now that we have the molar mass, we can find the mass of one mole of glucose: 1 mol * 180.18 g/mol = 180.18 g
03

Determine the necessary volume

We know that the aqueous solution of glucose has a concentration of 10% (w/v). This means that in every 100 mL of the solution, there are 10 g of glucose. We can set up a proportion to find the volume needed for one mole (180.18 g) of glucose: 10 g/100 mL = 180.18 g/x mL Next, we'll solve for x: x = (180.18 g * 100 mL) / 10 g = 1801.8 mL
04

Select the correct answer

Finally, we'll look for the closest option to our calculated volume (1801.8 mL) among the given choices: (a) 181 (b) 91 (c) 0.91 (d) 1.81 We can see that none of the given answer choices are exact matches, but the closest option is (a) 181. Therefore, the best answer for the volume in which one mole of glucose is dissolved is approximately 181 mL.

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Most popular questions from this chapter

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