1. How many molecules of barium hydroxide, Ba(OH)2 are there in 21.9 grams of
barium hydroxide?
A. 6.022 x 1023 molecules Ba(OH)2
B. 7.7 x 1022 molecules Ba(OH)2
C. 6.23 x 1021 molecules Ba(OH)2
D. 5.93 x 1021 molecules Ba(OH)2

Respuesta :

Answer: [tex]7.7\times 10^{22}[/tex] molecules of [tex]Ba(OH)_2[/tex]

Explanation:

According to avogadro's law, 1 mole of every substance occupies 22.4 L at STP and contains avogadro's number [tex]6.023\times 10^{23}[/tex] of particles.

To calculate the moles, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text {Molar mass}}=\frac{21.9g}{171g/mol}=0.128moles[/tex]

1 mole of [tex]Ba(OH)_2[/tex] contains =  [tex]6.023\times 10^{23}[/tex] molecules

0.128 mole of [tex]Ba(OH)_2[/tex] contains =  [tex]\frac{6.023\times 10^{23}}{1}\times 0.128=7.71\times 10^{22}[/tex] molecules

Thus there are [tex]7.7\times 10^{22}[/tex] molecules of [tex]Ba(OH)_2[/tex]