QuestionJune 11, 2025

How many molecule of sugar (sucrose) are there in 5 g (one teaspoon) sugar? Chemical foluma of sugar: C_(12)H_(22)O_(11)

How many molecule of sugar (sucrose) are there in 5 g (one teaspoon) sugar? Chemical foluma of sugar: C_(12)H_(22)O_(11)
How many molecule of sugar (sucrose) are there in 5 g (one teaspoon) sugar? Chemical foluma of sugar: C_(12)H_(22)O_(11)

Solution
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Answer

8.79 \times 10^{21} molecules Explanation 1. Calculate Molar Mass of Sucrose The molar mass of sucrose (C_{12}H_{22}O_{11}) is calculated as follows: 12 \times 12 + 22 \times 1 + 11 \times 16 = 342 \, \text{g/mol}. 2. Calculate Moles of Sucrose Use the formula: **moles = \frac{\text{mass}}{\text{molar mass}}**. For 5 g of sucrose: \frac{5}{342} \approx 0.0146 \, \text{mol}. 3. Calculate Number of Molecules Use Avogadro's number: **number of molecules = moles \times 6.022 \times 10^{23}**. Thus, 0.0146 \times 6.022 \times 10^{23} \approx 8.79 \times 10^{21} molecules.

Explanation

1. Calculate Molar Mass of Sucrose<br /> The molar mass of sucrose ($C_{12}H_{22}O_{11}$) is calculated as follows: $12 \times 12 + 22 \times 1 + 11 \times 16 = 342 \, \text{g/mol}$.<br />2. Calculate Moles of Sucrose<br /> Use the formula: **moles = \frac{\text{mass}}{\text{molar mass}}**. For 5 g of sucrose: $\frac{5}{342} \approx 0.0146 \, \text{mol}$.<br />3. Calculate Number of Molecules<br /> Use Avogadro's number: **number of molecules = moles \times 6.022 \times 10^{23}**. Thus, $0.0146 \times 6.022 \times 10^{23} \approx 8.79 \times 10^{21}$ molecules.
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