Argon has density of $1.78 g / L$ at STP. Which of the following gases have a density at STP greater than that of argon?
$I$ . $F_{2}$
$I I$ . $H_{2}$
$I I I$ . ${N H}_{3}$
$I V$ . ${C O}_{2}$

I

only

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I I

only

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I V

only

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I

and

I I I

only

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Solution

The correct option is D $I V$ only
$P V = n R T$
at STP, $P =$ constant
$T =$ constant
$V = \frac{K m}{M}$
$\frac{1}{K} = \frac{m}{V} \times \frac{1}{M} = S \times \frac{1}{M}$
i.e, more is the molar mass, the density is also greater.
$∴$ only ${C O}_{2}$ has greater mass than Argon hence greater density.

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