AP EAMCET · Chemistry · States of Matter

The density of an ideal gas can be given by where $P, V, M, T$ and $R$ respectively denote pressure, volume, molar-mass, temperature and universal gas constant.

A $\frac{P M}{R T}$
B $\frac{P V}{R T}$
C $\frac{R T}{P M}$
D $\frac{R T}{P V}$

Verified Solution

Answer & Solution

Correct Answer

(A) $\frac{P M}{R T}$

Step-by-step Solution

Detailed explanation

So according to the ideal gas equation we know the relation between pressure, volume and temperature So the formula is PV = nRT So the relation between the pressure, volume, molar mass, temperature and density is ρ = PMRT

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From AP EAMCET

Explore more questions on app

The density of an ideal gas can be given by where P,V,M,T and R respectively denote pressure, volume, molar-mass, temperature and universal gas constant.

Step-by-step Solution

The density of an ideal gas can be given by where $P, V, M, T$ and $R$ respectively denote pressure, volume, molar-mass, temperature and universal gas constant.