Question

calculate the number of atoms in 2 mol of sulfur dioxide (so₂).
1.205×10²⁴
2.409×10²⁴
3.614×10²⁴
6.022×10²³

Explanation:

Step1: Determine number of molecules

Use Avogadro's number ($N_A = 6.022\times 10^{23}$ molecules/mol). For 2 mol of $SO_2$, the number of molecules $n_{molecules}=2\ mol\times N_A=2\times6.022\times 10^{23}$ molecules.

Step2: Determine atoms per molecule

In one $SO_2$ molecule, there are 3 atoms (1 sulfur and 2 oxygen).

Step3: Calculate total number of atoms

The total number of atoms $n_{atoms}=n_{molecules}\times3=(2\times6.022\times 10^{23})\times3 = 3.6132\times 10^{24}\approx3.614\times 10^{24}$ atoms.

Answer:

C. $3.614\times 10^{24}$