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Ideal Gas Equation from KTG

The density o...

Question

The density of $O_{2}$ is maximum at:

STP

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273 K and 2 atm

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546K and 1 atm

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546 K and 2 atm

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Solution

The correct option is D 273 K and 2 atm
The ideal gas equation is $P V = n R T = \frac{w}{M} R T$

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

Thus, the density of the ideal gas is directly proportional to the pressure and inversely proportional to the temperature.

Thus, the density will be maximum for higher pressure and lower temperature.

Hence, option $B$ correctly represents the conditions for maximum density.

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