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>>Ideal Gas Equation and Absolute Temperature
>> $At constant pressure, density of a gas i$

Question

At constant pressure, density of a gas is :

24875

A

directly proportional to absolute temperature

B

inversely proportional to absolute temperature

C

independent of temperature

D

directly proportional to square root of absolute temperature

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Solution

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Correct option is B)

$D e n s i t y = \frac{m a s s ( w )}{V o l u m e ( V )}$
Now by ideal gas equation, PV = nRT
So this gives $P V = \frac{w}{M} R T$ , where M is the molecular weight
So on putting the value of w, we get
Density, $d = \frac{P M}{R T}$
Clearly if pressure is constant, density is inversely proportional to temperature (T)

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