Answer: [tex]22.6 \times 10^{23}[/tex] molecules
Explanation:
To calculate the moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]
For [tex]CO_2[/tex]
Given mass= 165 g
Molar mass of [tex]CO_2[/tex] = 44 g/mol
Putting values in above equation, we get:
[tex]\text{Moles of}CO_2 =\frac{165g}{44g/mol}=3.75mol[/tex]
According to avogadro's law, 1 mole of every substance weighs equal to the molecular mass and contains avogadro's number [tex]6.023\times 10^{23}[/tex] of particles.
1 mole of [tex]CO_2[/tex] contains =[tex]6.023\times 10^{23}[/tex] molecules of [tex]CO_2[/tex]
Thus 3.75 moles [tex]CO_2[/tex] contains =[tex]\frac{6.023\times 10^{23}}{1}\times 3.75=22.6 \times 10^{23}[/tex] molecules of [tex]CO_2[/tex]
Thus there will be [tex]22.6 \times 10^{23}[/tex] molecules of [tex]CO_2[/tex]
