The weight of 1 litre of ozonised at STP was found to be 1.5 gm. 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

Options

A. 49
B. 47
C. 46
D. 47.9

Answer

C

Explanation

Volume of `O_3` in 100 ml of ozonised `O_2`
`=100-90=10ml` (dissolved in turpentine)
Volume of `O_3` in 1 litre of ozonised `O_2=(10xx100)/(100)`
`=100ml`
volume of `O_2` in 1 litre `=1000-100=900ml`
Weight of `900ml` of `O_2` at S`TP=(900xx32)/(22400)`
`=1.286gm`
weight of `100 ml` of `O_3` at STP weighs`=0.214gm`
`22400ml` of `O_3` at STP weghs`=(0.214xx22400)/(100)`
`=47.94gm`
Molecular weight of `O_3=47.94`