What is the density at STP of a diatomic gas whose gram-formula mass is $80$ g/mol?

1.9

g/L

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2.8

g/L

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3.6

g/L

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4.3

g/L

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5.0

g/L

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Solution

The correct option is B $3.6$ g/L
$P V = n R T$

$P V = \frac{w}{M} R T$

$P M = \frac{w}{V} R T$

$P M = ρ R T$

Density $ρ = \frac{P M}{R T}$

Density $ρ = \frac{1 \times 80.}{0.08206 \times 273} = 3.6 g / L$
STP conditions corresponds to a pressure of 1 atm and temperature of 273 K.

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