One litre of a certain gas has a mass of 1.96 grams at STP. Identify the gas:

Chlorine

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Carbondioxide

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Helium

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Oxygen

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Solution

The correct option is C Carbondioxide
1 mole of any gas at STP occupies volume $= 22.4 L$
moles of gas present in $1 L$ volume $= \frac{1}{22.4} m o l e s$
Mass of $= \frac{1}{22.4} m o l e s$ given $= 1.96 g m$
From the formula $M o l e s = \frac{m a s s}{m o l e c u l a r m a s s} \Rightarrow \frac{1}{22.4} = \frac{1.96}{M W}$
Molecular mass of gas $= 1.96 \times 22.4 = 44$
In the given options $C O_{2}$ has molecular weight $= 44$
MW of $C l_{2} = 71$
MW of $C O_{2} = 44$
MW of $H e = 4$
MW of $O_{2} = 32$

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