To determine how many moles of [tex]\( HC_2H_3O_2 \)[/tex] (acetic acid) are in 6.0 grams of [tex]\( HC_2H_3O_2 \)[/tex], we follow these steps:
1. Identify the mass of [tex]\( HC_2H_3O_2 \)[/tex]:
- Given that the mass of [tex]\( HC_2H_3O_2 \)[/tex] is 6.0 grams.
2. Identify the molar mass of [tex]\( HC_2H_3O_2 \)[/tex]:
- The molar mass of [tex]\( HC_2H_3O_2 \)[/tex] is approximately 60.05 grams per mole.
3. Use the formula to calculate the number of moles:
[tex]\[
\text{Number of moles} = \frac{\text{Mass of the substance (g)}}{\text{Molar mass of the substance (g/mol)}}
\][/tex]
By substituting the given values into the formula, we get:
[tex]\[
\text{Number of moles} = \frac{6.0 \text{ grams}}{60.05 \text{ grams per mole}}
\][/tex]
4. Perform the division:
[tex]\[
\text{Number of moles} = 0.09991673605328893 \text{ moles}
\][/tex]
From this calculated value, we can see that rounded to two decimal places, the number of moles is approximately 0.10. Therefore, the correct answer is:
B. 0.10