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Charles's Law

Which of the ...

Question

Which of the following shows the correct relationship between the pressure $P$ and density $ρ$ of an ideal gas at constant temperature?

A

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B

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C

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D

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Solution

The correct option is B
As we know from Ideal gas equation,
$P = \frac{ρ R T}{M}$ , where symbols have usual meaning.
Since, the temperature is constant.
$\Rightarrow P \propto ρ$
or, $P = k ρ$
So, the $P - ρ$ graph will be straight line with positive slope and will tend to pass through origin.

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