Multiple Choice 5 points Find the number of particles of O_(2) from 19.83g of O_(2).(mmO_(2)=16g/mol) 3.73times 10^23particles 1.19times 10^25particles 3.82times 10^26particles 6.20times 10^22particles

To find the number of particles of \( O_2 \) from 19.83g of \( O_2 \), we need to follow these steps:<br /><br />1. **Calculate the number of moles of \( O_2 \):**<br /> The molar mass of \( O_2 \) is given as 32g/mol (since \( O \) has a molar mass of 16g/mol and \( O_2 \) has two oxygen atoms).<br /><br /> \[<br /> \text{Number of moles} = \frac{\text{mass}}{\text{molar mass}} = \frac{19.83 \text{g}}{32 \text{g/mol}} = 0.618 \text{ moles}<br /> \]<br /><br />2. **Convert moles to number of particles:**<br /> We use Avogadro's number, which is \( 6.022 \times 10^{23} \) particles/mol.<br /><br /> \[<br /> \text{Number of particles} = \text{Number of moles} \times \text{Avogadro's number} = 0.618 \text{ moles} \times 6.022 \times 10^{23} \text{ particles/mol}<br /> \]<br /><br /> \[<br /> \text{Number of particles} = 3.73 \times 10^{23} \text{ particles}<br /> \]<br /><br />Therefore, the number of particles of \( O_2 \) in 19.83g of \( O_2 \) is \( 3.73 \times 10^{23} \) particles.<br /><br />The correct answer is:<br />\[ 3.73 \times 10^{23} \text{ particles} \]