Question

Two vessels separately contain two ideal gases $$A$$ and $$B$$ at the same temperature. The pressure of $$A$$ being twice that of $$B.$$ Under such conditions, of $$A$$ being twice that of $$B.$$ Under such conditions, the density of $$A$$ is found to be 1.5 times the density of $$B.$$ The ratio of molecular weight of $$A$$ and $$B$$ is:

A. $$\frac{3}{4}$$  
B. $$2$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
Answer :   $$\frac{3}{4}$$
Solution :
From $$PV = nRT$$
$${P_A} = \frac{{{\rho _A}{M_A}}}{{RT}}\,\,{\text{and}}\,\,{P_B} = \frac{{{\rho _B}{M_B}}}{{RT}}$$
From question,
$$\eqalign{ & \frac{{{P_A}}}{{{P_B}}} = \frac{{{\rho _A}}}{{{\rho _B}}}\frac{{{M_A}}}{{{M_B}}} = 2\frac{{{M_A}}}{{{M_B}}} = \frac{3}{2} \cr & {\text{So,}}\,\,\frac{{{M_A}}}{{{M_B}}} = \frac{3}{4} \cr} $$

Releted MCQ Question on
Heat and Thermodynamics >> Kinetic Theory of Gases

Releted Question 1

A constant volume gas thermometer works on

A. The Principle of Archimedes
B. Boyle’s Law
C. Pascal’s Law
D. Charle’s Law
View Answer
Releted Question 2

From the following statements concerning ideal gas at any given temperature $$T,$$ select the correct one(s)

A. The co-efficient of volume expansion at constant pressure is the same for all ideal gases
B. The average translational kinetic energy per molecule of oxygen gas is $$3kT, k$$   being Boltzmann constant
C. The mean - free path of molecules increases with increases in the pressure
D. In a gaseous mixture, the average translational kinetic energy of the molecules of each component is different
View Answer
Releted Question 3

The average translational kinetic energy of $${O_2}$$ (relative molar mass 32) molecules at a particular temperature is $$0.048\,eV.$$  The translational kinetic energy of $${N_2}$$ (relative molar mass 28) molecules in $$eV$$ at the same temperature is

A. 0.0015
B. 0.003
C. 0.048
D. 0.768
View Answer
Releted Question 4

A vessel contains 1 mole of $${O_2}$$ gas (relative molar mass 32) at a temperature $$T.$$ The pressure of the gas is $$P.$$ An identical vessel containing one mole of $$He$$  gas (relative molar mass 4) at a temperature $$2\,T$$  has a pressure of

A. $$\frac{P}{8}$$
B. $$P$$
C. $$2\,P$$
D. $$8\,P$$
View Answer

Practice More Releted MCQ Question on
Kinetic Theory of Gases

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