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2. what is the total number of molecules of so₂ in a 0.10 - mole sample…

Question

  1. what is the total number of molecules of so₂ in a 0.10 - mole sample of so₂?

options:
6.0×10²¹
6.0×10²²
6.0×10²³
6.0×10²⁴
clear all

Explanation:

Step1: Recall Avogadro's number

Avogadro's number is \( 6.02 \times 10^{23} \) molecules per mole (we can use \( 6.0 \times 10^{23} \) for approximation here). The formula to find the number of molecules is \( \text{Number of molecules} = \text{Moles} \times \text{Avogadro's number} \).

Step2: Substitute the values

Given moles of \( \text{SO}_2 = 0.10 \) mol. So, number of molecules \( = 0.10 \, \text{mol} \times 6.0 \times 10^{23} \, \text{molecules/mol} \).

Step3: Calculate the result

\( 0.10 \times 6.0 \times 10^{23} = 6.0 \times 10^{22} \) molecules.

Answer:

\( 6.0 \times 10^{22} \) (the option with this value, e.g., if the options are as given, the second option: \( 6.0 \times 10^{22} \))