Question

1. how many molecules are there in 216 g of ascorbic acid, c₆h₈o₆? (molar mass of c₆h₈o₆ = 176.1 g/mol) a. 1.25 × 10⁶ molecules b. 2.45 × 10²² molecules c. 6.02 × 10²³ molecules d. 7.39 × 10²³ molecules e. 3.05 × 10¹⁹ molecules

Explanation:

Step1: Calculate moles of \( C_6H_8O_6 \)

Moles \( = \frac{\text{mass}}{\text{molar mass}} \), so \( \frac{216\ \text{g}}{176.1\ \text{g/mol}} \approx 1.2266\ \text{mol} \)

Step2: Calculate number of molecules

Use Avogadro's number (\( 6.022 \times 10^{23}\ \text{molecules/mol} \)):
Molecules \( = 1.2266\ \text{mol} \times 6.022 \times 10^{23}\ \text{molecules/mol} \approx 7.39 \times 10^{23} \)

Answer:

D. \( 7.39 \times 10^{23} \) molecules