Chemistry Gases PMDC 2020
PMDC Verified Question 52 of 65
According to the general gas equation, density of an ideal gas depends upon:
A
Pressure
B
Temperature
C
Molar mass of the gas
D
All of the above
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: All of the above
Concept:

The density of an ideal gas is derived by combining the ideal gas law (\( PV = nRT \)) with the definition of density (\( d = \frac{m}{V} \)).

Formula:

$$ d = \frac{PM}{RT} $$

Solution:

  • From the equation \( d = \frac{PM}{RT} \), we can clearly see the dependencies of density.


  • Density is directly proportional to Pressure (P).


  • Density is directly proportional to the Molar Mass (M) of the specific gas.


  • Density is inversely proportional to the absolute Temperature (T).


  • Therefore, the density of an ideal gas depends on all three factors simultaneously.


Why other options are incorrect:

  • Options A, B, & C: While true individually, choosing only one factor ignores the mathematical dependency on the other variables clearly present in the formula.

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