A pre weighed vessel was filled with oxygen at N.T.P. and weighted.It was then evacuated, filled with `SO_(2)` at the same temperature and pressure, and again weighed. The weight of oxygen will be

Options

A. The same as that of the `SO_(2)`
B. Twice as that of the `SO_(2)`
C. Half of that of the `SO_(2)`
D. One-fourth of that of the `SO_(2)`

Answer

C

Explanation

P,V and T are constant.
`:. n_(1)(O_(2))=n_(2)(SO_(2))`
`:.(Wt."of"" " O_(2))/("Mol.Wt.of" " "O_(2))=(Wt."of"" " SO_(2))/("Mol.Wt.of" " "SO_(2))`
`:. (Wt.of " "O_(2))/(32)=(Wt.of " "SO_(2))/(64)`
Wt.of `" "O_(2)=Wt.of " "SO_(2)xx(32)/(64)`
Wt.of `O_(2)=(1)/(2) ` Wt.of `" " SO_(2)`