How many moles are there in 20.776 g of C6H12O6?Give your answer in moles and to three decimal places.(Molar mass of  C6H12O6 = 180.16 g mol-1)

1. ### Break Down the Problem

To find the number of moles in a given mass of a substance, we can use the formula: $\text{Number of moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}}$ Here, we need to plug in the values for mass (20.776 g) and molar mass (180.16 g/mol).

2. ### Relevant Concepts

The relevant formula to calculate the number of moles is: $n = \frac{m}{M}$ where:

• $n$ = number of moles
• $m$ = mass of the substance (grams)
• $M$ = molar mass of the substance (g/mol)

3. ### Analysis and Detail

Now, we substitute the values into the formula: $n = \frac{20.776 \, \text{g}}{180.16 \, \text{g/mol}}$ Calculating it step by step:

1. Calculate the division: $n = \frac{20.776}{180.16} \approx 0.115$

4. ### Verify and Summarize

Perform a quick verification:

• Molar mass = 180.16 g/mol
• Mass = 20.776 g

Now using the numbers again: $n = \frac{20.776}{180.16} \approx 0.115 \ \text{moles}$

Final Answer

Thus, the number of moles in 20.776 g of C6H12O6 is approximately $\mathbf{0.115}$ moles (to three decimal places).