Question

If you added 2 grams of sugar into your tea cup. How many sugar particles did you add? (Given: NA = 6.02 x 10^23 ; sugar formula: C12H22O11; Mr (C) = 12 g/mol ; Mr (O) = 16 g/mol ; Mr (H) = 1 g/mol).

Answer 1

To find the number of sugar particles added to the tea cup, calculate the moles of sugar added using the molar mass of sugar. Then, use Avogadro's number to convert the moles to the number of sugar particles.

Step-by-step explanation:

To determine the number of sugar particles added to the tea cup, you first need to calculate the number of moles of sugar added. Using the formula weight of sugar and the given masses of carbon, hydrogen, and oxygen, we can calculate the molar mass of sugar. And then, we can use Avogadro's number to convert moles of sugar to the number of sugar particles.

Given that the formula weight of sugar (C12H22O11) is the sum of the weights of 12 carbon atoms, 22 hydrogen atoms, and 11 oxygen atoms, we can calculate it as follows:

Molar mass of sugar (C12H22O11) = (12 * 12 g/mol) + (22 * 1 g/mol) + (11 * 16 g/mol) = 342 g/mol

Now, using the molar mass of sugar, we can convert the mass of sugar (2 grams) to moles:

Number of moles of sugar = (mass of sugar / molar mass of sugar) = (2 g / 342 g/mol) = 0.0058 mol

Finally, using Avogadro's number (6.02 x 10^23 particles/mol), we can calculate the number of sugar particles:

Number of sugar particles = (number of moles of sugar * Avogadro's number) = (0.0058 mol * 6.02 x 10^23 particles/mol) = 3.49 x 10^21 sugar particles

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