Explore topic-wise MCQs in Joint Entrance Exam - Main (JEE Main).

This section includes 11242 Mcqs, each offering curated multiple-choice questions to sharpen your Joint Entrance Exam - Main (JEE Main) knowledge and support exam preparation. Choose a topic below to get started.

4651.

If rate of diffusion of A is 5 times that of B, what will be the density ratio of A and B         [AFMC 1994]

A.                 1/25      
B.                 1/5
C.                 25          
D.                 4
Answer» B.                 1/5
4652.

The densities of hydrogen and oxygen are 0.09 and 1.44 g \[{{L}^{-1}}\]. If the rate of diffusion of hydrogen is 1 then that of oxygen in the same units will be [RPMT 1994]

A.                 4             
B.                 ¼
C.                 16          
D.                 1/16
Answer» C.                 16          
4653.

Molecular weight of a gas that diffuses twice as rapidly as the gas with molecular weight 64 is     [EAMCET 1994]

A.                 16          
B.                 8
C.                 64          
D.                 6.4
Answer» B.                 8
4654.

The molecular weight of a gas which diffuses through a porous plug at 1/6th of the speed of hydrogen under identical conditions is       [EAMCET 1990]

A.                 27          
B.                 72
C.                 36          
D.                 48
Answer» C.                 36          
4655.

A gas diffuse 1/5 times as fast as hydrogen. Its molecular weight is           [CPMT 1992; Bihar CEE 1982]

A.                 50          
B.                 25
C.                 \[25\sqrt{2}\]   
D.                 \[50\sqrt{2}\]
Answer» B.                 25
4656.

The ratio of the rate of diffusion of a given element to that of helium is 1.4. The molecular weight of the element is [Kerala PMT 1990]

A.                 2             
B.                 4
C.                 8             
D.                 16
Answer» B.                 4
4657.

Which of the following relationship is correct, where r is the rate of diffusion of a gas and d is its density                [CPMT 1994]

A.                 \[r\propto \sqrt{1/d}\] 
B.                 \[r\propto \sqrt{d}\]
C.                 \[r=d\] 
D.                 \[r\propto d\]
Answer» B.                 \[r\propto \sqrt{d}\]
4658.

Which of the following gas will have highest rate of diffusion [Pb. CET Sample paper 1993; CPMT 1990]

A.                 \[N{{H}_{3}}\]  
B.                 \[{{N}_{2}}\]
C.                 \[C{{O}_{2}}\]   
D.                 \[{{O}_{2}}\]
Answer» B.                 \[{{N}_{2}}\]
4659.

Rate of  diffusion of a gas is         [IIT 1985; CPMT 1987]

A.                 Directly proportional to its density
B.                 Directly proportional to its molecular mass
C.                 Directly proportional to the square root of its molecular mass
D.                 Inversely proportional to the square root of its molecular mass
Answer» E.
4660.

Equal amounts of two gases of molecular weight 4 and 40 are mixed. The pressure of the mixture is 1.1 atm. The partial pressure of the light gas in this mixture is [CBSE PMT 1991]

A.                 0.55 atm             
B.                 0.11 atm
C.                 1 atm   
D.                 0.12 atm
Answer» D.                 0.12 atm
4661.

Which of the following statement is false             [BHU 1994]             

A.                 The product of pressure and volume of fixed amount of a gas is independent of temperature
B.                 Molecules of different gases have the same K.E. at a given temperature
C.                 The gas equation is not valid at high pressure and low temperature
D.                 The gas constant per molecule is known as Boltzmann constant
Answer» B.                 Molecules of different gases have the same K.E. at a given temperature
4662.

To which of the following gaseous mixtures is Dalton's law not applicable

A.                 \[Ne+He+S{{O}_{2}}\]  
B.                 \[N{{H}_{3}}+HCl+HBr\]
C.                 \[{{O}_{2}}+{{N}_{2}}+C{{O}_{2}}\]         
D.                 \[{{N}_{2}}+{{H}_{2}}+{{O}_{2}}\]
Answer» C.                 \[{{O}_{2}}+{{N}_{2}}+C{{O}_{2}}\]         
4663.

Dalton's law of partial pressure will not apply to which of the following mixture of gases                [Bihar MADT 1981]

A.                 \[{{H}_{2}}\] and \[S{{O}_{2}}\]
B.                 \[{{H}_{2}}\] and \[C{{l}_{2}}\]
C.                 \[{{H}_{2}}\] and \[C{{O}_{2}}\]
D.                 \[{{H}_{2}}\] and \[S{{O}_{2}}\]
Answer» C.                 \[{{H}_{2}}\] and \[C{{O}_{2}}\]
4664.

Which of the following mixtures of gases does not obey Dalton's law of partial pressure [CBSE PMT 1996: Kerala PMT 2000]

A.                 \[{{O}_{2}}\] and \[C{{O}_{2}}\]               
B.                 \[{{N}_{2}}\] and \[{{O}_{2}}\]
C.                 \[C{{l}_{2}}\] and \[{{O}_{2}}\]  
D.                 \[N{{H}_{3}}\] and HCl
Answer» E.
4665.

If three unreactive gases having partial pressures \[{{P}_{A}},\,{{P}_{B}}\] and \[{{P}_{C}}\] and their moles are 1, 2 and 3 respectively then their total pressure will be       [CPMT 1994]

A.                 \[P={{P}_{A}}+{{P}_{B}}+{{P}_{C}}\]       
B.                 \[P=\frac{{{P}_{A}}+{{P}_{B}}+{{P}_{C}}}{6}\]
C.                 \[P=\frac{\sqrt{{{P}_{A}}+{{P}_{B}}+{{P}_{C}}}}{3}\]       
D.                 None
Answer» B.                 \[P=\frac{{{P}_{A}}+{{P}_{B}}+{{P}_{C}}}{6}\]
4666.

?Equal volumes of all gases at the same temperature and pressure contain equal number of particles.? This statement is a direct consequence of   [Kerala MEE 2002]

A.                 Avogadro?s law
B.                 Charle's law
C.                 Ideal gas equation          
D.                 Law of partial pressure
Answer» B.                 Charle's law
4667.

The total pressure exerted by a number of non-reacting gases is equal to the sum of the partial pressures of the gases under the same conditions is known as [CPMT 1986]

A.                 Boyle's law         
B.                 Charle's law
C.                 Avogadro's law
D.                 Dalton's law
Answer» E.
4668.

A sample of gas occupies 100 ml at \[{{27}^{o}}C\] and 740 mm pressure. When its volume is changed to 80 ml at 740 mm pressure, the temperature of the gas will be [Vellore CMC 1991]

A.                 \[{{21.6}^{o}}C\]             
B.                 \[{{240}^{o}}C\]
C.                 \[-{{33}^{o}}C\]               
D.                 \[{{89.5}^{o}}C\]
Answer» D.                 \[{{89.5}^{o}}C\]
4669.

The density of a gas at \[{{27}^{o}}C\] and 1 atm is d. Pressure remaining constant at which of the following temperatures will its density become 0.75 d     [CBSE PMT 1992]

A.                 \[{{20}^{o}}C\] 
B.                 \[{{30}^{o}}C\]
C.                 400 K    
D.                 300 K
Answer» D.                 300 K
4670.

One litre of a gas weighs 2 g at 300 K and 1 atm pressure. If the pressure is made 0.75 atm, at which of the following temperatures will one litre of the same gas weigh one gram [CBSE PMT 1992]

A.                 450 K    
B.                 600 K
C.                 800 K    
D.                 900 K
Answer» B.                 600 K
4671.

If 20\[c{{m}^{3}}\] gas at 1 atm. is expanded to 50 \[c{{m}^{3}}\] at constant T, then what is the final pressure   [CPMT 1988]          

A.                 \[20\times \frac{1}{50}\]             
B.                 \[50\times \frac{1}{20}\]
C.                 \[1\times \frac{1}{20}\times 50\]             
D.                 None of these
Answer» B.                 \[50\times \frac{1}{20}\]
4672.

At N.T.P. the volume of a gas is found to be 273 ml. What will be the volume of this gas at 600 mm Hg and \[{{273}^{o}}C\]                 [CPMT 1992]

A.                 391.8 mL             
B.                 380 ml
C.                 691.6 ml              
D.                 750 ml
Answer» D.                 750 ml
4673.

Pure hydrogen sulphide is stored in a tank of 100 litre capacity at \[{{20}^{o}}C\] and 2 atm pressure. The mass of the gas will be   [CPMT 1989]

A.                 34 g       
B.                 340 g
C.                 282.4 g 
D.                 28.24 g
Answer» D.                 28.24 g
4674.

16 g of oxygen and 3 g of hydrogen are mixed and kept at 760 mm pressure and \[{{0}^{o}}C\]. The total volume occupied by the mixture will be nearly      [Vellore CMC 1991]

A.                 22.4 litres            
B.                 33.6 litres
C.                 448 litres             
D.                 44800 ml
Answer» E.
4675.

Two separate bulbs contain ideal gases A and B. The density of gas A is twice that of gas B. The molecular mass of A is half that of gas B. The two gases are at the same temperature. The ratio of the pressure of A to that of gas B is [BHU 1994]

A.                 2             
B.                 1/2
C.                 4             
D.                 ¼
Answer» D.                 ¼
4676.

Correct gas equation is  [CBSE PMT 1989; CPMT 1991]

A.                 \[\frac{{{V}_{1}}{{T}_{2}}}{{{P}_{1}}}=\frac{{{V}_{2}}{{T}_{1}}}{{{P}_{2}}}\]          
B.                 \[\frac{{{P}_{1}}{{V}_{1}}}{{{P}_{2}}{{V}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}}\]
C.                 \[\frac{{{P}_{1}}{{T}_{2}}}{{{V}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{T}_{2}}}\]          
D.                 \[\frac{{{V}_{1}}{{V}_{2}}}{{{T}_{1}}{{T}_{2}}}={{P}_{1}}{{P}_{2}}\]
Answer» C.                 \[\frac{{{P}_{1}}{{T}_{2}}}{{{V}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{T}_{2}}}\]          
4677.

At \[{{0}^{o}}C\] and one atm pressure, a gas occupies 100 cc. If the pressure is increased to one and a half-time and temperature is increased by one-third of absolute temperature, then final volume of the gas will be [DCE 2000]

A.                 80 cc     
B.                 88.9 cc
C.                 66.7 cc  
D.                 100 cc
Answer» C.                 66.7 cc  
4678.

Volume of 0.5 mole of a gas at 1 atm. pressure and \[273K\] is [EAMCET 1992]

A.                 22.4 litres            
B.                 11.2 litres
C.                 44.8 litres            
D.                 5.6 litres
Answer» C.                 44.8 litres            
4679.

How many moles of He gas occupy 22.4 litres at \[{{30}^{o}}C\] and one atmospheric pressure   [KCET 1992]

A.                 0.90       
B.                 1.11
C.                 0.11       
D.                 1.0
Answer» B.                 1.11
4680.

If two moles of an ideal gas at 546 K occupy a volume of 44.8 litres, the pressure must be [NCERT 1981; JIPMER 1991]

A.                 2 atm   
B.                 3 atm
C.                 4 atm   
D.                 1 atm
Answer» B.                 3 atm
4681.

For an ideal gas number of moles per litre in terms of its pressure P, gas constant R and temperature T is [AIEEE 2002]

A.                 PT/R     
B.                 PRT
C.                 P/RT     
D.                 RT/P
Answer» D.                 RT/P
4682.

Air at sea level is dense. This is a practical application of [Kerala CEE 2000]

A.                 Boyle's law         
B.                 Charle's law
C.                 Avogadro's law
D.                 Dalton's law
Answer» B.                 Charle's law
4683.

Gas equation \[PV=nRT\] is obeyed by [BHU  2000]

A.                 Only isothermal process              
B.                 Only adiabatic process
C.                 Both A and B     
D.                 None of these
Answer» D.                 None of these
4684.

S.I. unit of gas constant R is         [CPMT 1994]

A.                 0.0821 litre atm K?1  mole?1          
B.                 2 calories K?1 mole?1
C.                 8.31 joule K?1 mole?1
D.                 None
Answer» D.                 None
4685.

Select one correct statement. In the gas equation, \[PV=nRT\]  [CBSE PMT 1992]

A.                 n is the number of molecules of a gas
B.                 V denotes volume of one mole of the gas
C.                 n moles of the gas have a volume V
D.                 P is the pressure of the gas when only one mole of gas is present
Answer» D.                 P is the pressure of the gas when only one mole of gas is present
4686.

The correct value of the gas constant R is close to [CBSE PMT 1992]

A.                 0.082 litre-atmopshere K                              
B.                 0.082 litre-atmosphere \[{{K}^{-1}}\,mo{{l}^{-1}}\]
C.                 0.082 litre-\[atmospher{{e}^{-1}}\,K\,mol{{e}^{-1}}\]
D.                 0.082 \[litr{{e}^{-1}}\,atmospher{{e}^{-1}}\,K\,mol\]
Answer» C.                 0.082 litre-\[atmospher{{e}^{-1}}\,K\,mol{{e}^{-1}}\]
4687.

The constant R is              [Orissa 1990]

A.                 Work done per molecule                             
B.                 Work done per degree absolute
C.                 Work done per degree per mole
D.                 Work done per mole
Answer» D.                 Work done per mole
4688.

Which one of the following indicates the value of the gas constant R       [EAMCET 1989]

A.                 1.987 cal K?1 mol?1           
B.                 8.3 cal K?1 mol?1
C.                 0.0821 lit K?1 mol?1          
D.                 1.987 Joules K?1 mol?1
Answer» B.                 8.3 cal K?1 mol?1
4689.

In the equation \[PV=nRT\], which one cannot be the numerical value of R          [BIT 1987]

A.                 \[8.31\times {{10}^{7}}erg\,{{K}^{-1}}mo{{l}^{-1}}\]                        
B.                 \[8.31\times {{10}^{7}}dyne\,cm\,{{K}^{-1}}mo{{l}^{-1}}\]           
C.                 \[8.31\,J{{K}^{-1}}mo{{l}^{-1}}\]                               
D.                 \[8.31\,atm.\,{{K}^{-1}}mo{{l}^{-1}}\]
Answer» E.
4690.

In the ideal gas equation, the gas constant R has the dimensions of         [NCERT 1982]

A.                 mole-atm K?1    
B.                 litre mole
C.                 litre-atm  K?1 mole?1       
D.                 erg K?1
Answer» D.                 erg K?1
4691.

In the equation of sate of an ideal gas \[PV=nRT\], the value of the universal gas constant would depend only on [KCET 2005]

A.                 The nature of the gas
B.                 The pressure of the gas
C.                 The units of the measurement 
D.                 None of these
Answer» D.                 None of these
4692.

The compressibility of a gas is less than unity at STP. Therefore [IIT 2000]

A.                 \[{{V}_{m}}>22.4\]litres               
B.                 \[{{V}_{m}}<22.4\]litres
C.                 \[{{V}_{m}}=22.4\]litres               
D.                 \[{{V}_{m}}=44.8\]litres
Answer» C.                 \[{{V}_{m}}=22.4\]litres               
4693.

At constant temperature, in a given mass of an ideal gas [CBSE PMT 1991]

A.                 The ratio of pressure and volume always remains constant
B.                 Volume always remains constant
C.                 Pressure always remains constant
D.                 The product of pressure and volume always remains constant
Answer» E.
4694.

Which one of the following statements is false [Manipal PMT 1991]

A.                 Avogadro number\[=6.02\times {{10}^{21}}\]
B.                 The relationship between average velocity \[(\bar{v})\] and root mean square velocity (u) is \[\bar{v}=0.9213\,u\]
C.                 The mean kinetic energy of an ideal gas is independent of the pressure of the gas
D.                 The root mean square velocity of the gas can be calculated by the formula \[{{(3RT/M)}^{1/2}}\]
Answer» B.                 The relationship between average velocity \[(\bar{v})\] and root mean square velocity (u) is \[\bar{v}=0.9213\,u\]
4695.

In a closed flask of 5 litres, 1.0 g of \[{{H}_{2}}\] is heated from 300 to 600 K. which statement is not correct [CBSE PMT 1991]

A.                 Pressure of the gas increases    
B.                 The rate of collision increases    
C.                 The number of moles of gas increases
D.                 The energy of gaseous molecules increases
Answer» D.                 The energy of gaseous molecules increases
4696.

?One gram molecule of a gas at N.T.P. occupies 22.4 litres.? This fact was derived from   [CPMT 1981, 1995]

A.                 Dalton's theory
B.                 Avogadro's hypothesis
C.                 Berzelius hypothesis
D.                 Law of gaseous volume
Answer» C.                 Berzelius hypothesis
4697.

Two closed vessels of equal volume containing air at pressure \[{{P}_{1}}\] and temperature \[{{T}_{1}}\] are connected to each other through a narrow tube. If the temperature in one of the vessels is now maintained at \[{{T}_{1}}\] and that in the other at \[{{T}_{2}}\], what will be the pressure in the vessels

A.                 \[\frac{2{{P}_{1}}{{T}_{1}}}{{{T}_{1}}+{{T}_{2}}}\]             
B.                 \[\frac{{{T}_{1}}}{2{{P}_{1}}{{T}_{2}}}\]
C.                 \[\frac{2{{P}_{1}}{{T}_{2}}}{{{T}_{1}}+{{T}_{2}}}\]             
D.                 \[\frac{2{{p}_{1}}}{{{T}_{1}}+{{T}_{2}}}\]
Answer» D.                 \[\frac{2{{p}_{1}}}{{{T}_{1}}+{{T}_{2}}}\]
4698.

The pressure p of a gas is plotted against its absolute temperature T for two different constant volumes, \[{{V}_{1}}\] and \[{{V}_{2}}\]. When \[{{V}_{1}}>{{V}_{2}}\], the

A.                 Curves have the same slope and do not intersect
B.                 Curves must intersect at some point other than \[T=0\]
C.                 Curve for \[{{V}_{2}}\] has a greater slope than that for\[{{V}_{1}}\]
D.                 Curve for\[{{V}_{1}}\]has a greater slope than that for\[{{V}_{2}}\]
Answer» D.                 Curve for\[{{V}_{1}}\]has a greater slope than that for\[{{V}_{2}}\]
4699.

400 \[c{{m}^{3}}\] of oxygen at\[{{27}^{o}}C\]were cooled to \[-{{3}^{o}}C\] without change in pressure. The contraction in volume will be

A.                 40 \[c{{m}^{3}}\]             
B.                 30 \[c{{m}^{3}}\]
C.                 44.4 \[c{{m}^{3}}\]         
D.                 360 \[c{{m}^{3}}\]
Answer» B.                 30 \[c{{m}^{3}}\]
4700.

A certain sample of gas has a volume of 0.2 litre measured at 1 atm. pressure and \[{{0}^{o}}C\]. At the same pressure but at \[{{273}^{o}}C\], its volume will be     [EAMCET 1992, 93; BHU 2005]

A.                 0.4 litres              
B.                 0.8 litres
C.                 27.8 litres            
D.                 55.6 litres
Answer» B.                 0.8 litres