Question

number of atom and number of molecules in 192g of SO2 gas​

Answer 1

Answ

Calclate the number of:- i]molecules. [s=32] ii]atoms in 192g of sulphur. [s8]

kobenhavn

Answer: 1. 4.52\times 10^{23} molecules

2. 36.1\times 10^{23} atoms

Explanation:

According to avogadro's law, 1 mole of every substance weighs equal to the molecular mass and contains avogadro's number 6.023\times 10^{23} of particles.

\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}

Putting in the values we get:

\text{Number of moles}=\frac{1928g}{256g/mol}=0.75moles

1. molecules in 192 g of sulphur:

1 mole of sulphur S_8 contains=6.022\times 10^{23} molecules

Thus 0.75 moles sulphur S_8 contain=\frac{6.022\times 10^{23}}{1}\times 0.75=4.52\times 10^{23} molecules

2. atoms in 192 g of sulphur:

1 mole of sulphur S_8 contains=8\times 6.022\times 10^{23}=48.2\times 10^{23} atoms

Thus 0.75 moles of sulphur S_8 contain=\frac{48.2\times 10^{23}}{1}\times 0.75=36.1\times 10^{23} atoms