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  4. The weight of 1 L of ozonised oxygen at STP was found to be 1.5 g. When 100 mL of this mixture at STP was treated with turpentine oil, the volume was reduced to 90 mL. The molecular weight of ozone is

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Q. The weight of $1 \,L$ of ozonised oxygen at STP was found to be $1.5 \,g$. When $100\, mL$ of this mixture at STP was treated with turpentine oil, the volume was reduced to $90 \,mL$. The molecular weight of ozone is

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Solution:

Volume of $O _3$ in $100 \,mL$ of ozonised $O _2$
$=100-90=10\, mL$ (dissolved in turpentine)
Volume of $O _3$ in $1\, L$ of ozonised $O _2$
$=\frac{10 \times 1000}{100} \times 100\, mL$
Volume of $O _2$ in $1 \,L =1000-100=900\, mL$
Weight of $900 \,mL$ of $O _2$ at $STP =\frac{900 \times 32}{22400}=1.286\, g$
Weight of $100 \,mL$ of $O _3$ at $STP =1.5-1.286$
$=0.214 \,g$
Now $100 \,mL$ of $O _3$ at $STP$ weighs $=0.214\, g$
$22400\, mL$ of $O _3$ at STP weighs $=\frac{0.214 \times 22400}{100}$ $=47.94 \,g$
Molecular weight of $O _3=47.94\, g$