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.

5901.

The free energy change for the following reactions are given below, \[{{C}_{2}}{{H}_{2}}(g)+\frac{5}{2}{{O}_{2}}(g)\,\to \]\[2C{{O}_{2}}(g)+{{H}_{2}}O(l);\,\Delta {{G}^{o}}=-1234\,kJ\] \[C(s)+{{O}_{2}}(g)\,\to C{{O}_{2}}(g)\,\,\Delta {{G}^{o}}=-394\,kJ\] \[{{H}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\,\to \,{{H}_{2}}O(l)\,\,\,\Delta {{G}^{o}}=-237kJ\] What is the standard free energy change for the reaction \[{{H}_{2}}(g)+2\,C\,(s)\to {{C}_{2}}{{H}_{2}}(g)\]                                        [Kerala (Med.) 2002]

A.                 ? 209 kJ
B.                 ? 2259 kJ
C.                 + 2259 kJ             
D.                 209 kJ
Answer» E.
5902.

The equilibrium concentration of the species in the reaction \[A+B\equiv C+D\] are 3, 5, 10 and 15 \[mole\,{{L}^{-1}}\] respectively at \[300\,K\] the \[\Delta G\] for the reaction is       [Pb. PMT 2004]

A.                 13.81    
B.                 ? 1381.8
C.                 ? 138.18              
D.                 1391.6
Answer» C.                 ? 138.18              
5903.

The densities of graphite and diamond at 298 K  are 2.25 and 3.31 g cm?3,  respectively. If the standard free energy difference \[(\Delta {{G}^{o}})\] is equal to 1895 J \[mo{{l}^{-1}}\], the pressure at which graphite will be transformed diamond at 298 K is [CBSE PMT 2003]

A.                 \[9.92\times {{10}^{5}}Pa\]        
B.                 \[9.92\times {{10}^{8}}Pa\]
C.                 \[9.92\times {{10}^{7}}Pa\]        
D.                 \[9.92\times {{10}^{6}}Pa\]
Answer» C.                 \[9.92\times {{10}^{7}}Pa\]        
5904.

In an irreversible process taking place at constant T and P and in which only pressure-volume work is being done, the change in Gibbs free energy \[(dG)\] and change in entropy \[(dS)\], satisfy the criteria                [AIEEE 2003]

A.                 \[{{(dS)}_{V,\,E}}<0,\,{{(dG)}_{T,\,P}}<0\]
B.                 \[{{(dS)}_{V,\,E}}>0,\,{{(dG)}_{T,\,P}}<0\]
C.                 \[{{(dS)}_{V,\,E}}=0,\,{{(dG)}_{T,\,P}}=0\]
D.                 \[{{(dS)}_{V,\,E}}=0,\,{{(dG)}_{T,\,P}}>0\]
Answer» C.                 \[{{(dS)}_{V,\,E}}=0,\,{{(dG)}_{T,\,P}}=0\]
5905.

For a spontaneous change, free energy change \[\Delta G\] is [MNR 1983; BHU 1981, 95; AMU 1999; DCE 2000, 01; BHU 2000; MP PMT 2003]

A.                 Positive
B.                 Negative
C.                 Zero
D.                 Can be positive or negative
Answer» C.                 Zero
5906.

The essential condition for the feasibility of a reaction is that [JIPMER 2002]

A.                 The reaction should be exothermic
B.                 The entropy of products must be larger than that of reactants
C.                 The reaction is to be accompanied with free energy decrease
D.                 The reaction has to possess high activation energy
Answer» D.                 The reaction has to possess high activation energy
5907.

The correct relationship between free energy change in a reaction and the corresponding equilibrium constant \[{{K}_{c}}\] is [AIEEE 2003]

A.                 \[\Delta G=RT\ln {{K}_{c}}\]       
B.                 \[-\Delta G=RT\ln {{K}_{c}}\]
C.                 \[\Delta {{G}^{o}}=RT\ln {{K}_{c}}\]        
D.                 \[-\Delta {{G}^{o}}=RT\ln {{K}_{c}}\]
Answer» E.
5908.

Gibbs free energy G, enthalpy H and entropy S are interrelated as in      [MP PMT 2002]

A.                 \[G=H+TS\]       
B.                 \[G=H-TS\]
C.                 \[G-TS=H\]        
D.                 \[G=S=H\]
Answer» C.                 \[G-TS=H\]        
5909.

Born-Haber cycle is used to determine  [UPSEAT 2001]

A.                 Crystal energy  
B.                 Electron affinity
C.                 Lattice energy  
D.                 All of these
Answer» E.
5910.

For a reaction at \[{{25}^{o}}C\] enthalpy change and entropy changes are \[-11.7\times {{10}^{3}}J\,mo{{l}^{-1}}\] and \[-105\,J\,mo{{l}^{-1}}{{K}^{-1}}\] respectively. What is the Gibbs free energy           [BHU 2001]

A.                 15.05 kJ
B.                 19.59 kJ
C.                 2.55 kJ  
D.                  22.55 kJ
Answer» C.                 2.55 kJ  
5911.

The standard enthalpy of the decomposition of \[{{N}_{2}}{{O}_{4}}\] to \[N{{O}_{2}}\] is 58.04 kJ and standard entropy of this reaction is 176.7 J/K. The standard free energy change for this reaction at \[{{25}^{o}}C\] is           [AIIMS 1999]

A.                 539 kJ   
B.                 ? 539 kJ
C.                 ? 5.39 kJ              
D.                 5.39 kJ
Answer» E.
5912.

Spontaneity of a chemical reaction is decided by the negative change in                [MP PET 2001]

A.                 Internal energy
B.                 Enthalpy
C.                 Entropy               
D.                 Free energy
Answer» E.
5913.

\[\Delta {{G}^{o}}\] for the reaction \[X+Y\]⇌ Z is ? 4.606 kcal . The value of equilibrium constant of the reaction at \[{{227}^{o}}C\] is \[(R=2.0\,cal.\,mo{{l}^{-1}}{{K}^{-1}})\]            [Roorkee 1999]

A.                 100
B.                 10
C.                 2             
D.                 0.01
Answer» B.                 10
5914.

What is the free energy change \[\Delta G\] when \[1.0\,mole\] of water at \[{{100}^{o}}C\] and \[1\,atm\] pressure is converted into steam at \[{{100}^{o}}C\] and \[1\,atm\] pressure        [MP PET/PMT 1998]

A.                 \[540\,cal\]        
B.                 \[-9800\,cal\]
C.                 \[9800\,cal\]      
D.                 \[0\,cal\]
Answer» E.
5915.

For the change \[{{H}_{2}}O(l)\to {{H}_{2}}O(g);\,P=1\,atm\], \[T=373\,K\], the free energy change \[\Delta G=0\]. This indicates that

A.                 \[{{H}_{2}}O(l)\] is in equilibrium with \[{{H}_{2}}O(g)\]
B.                 Water boils spontaneously at \[373\,K\]
C.                 Water does not boil spontaneously at \[373\,K\]
D.                 Condensation of water vapour occurs spontaneously at \[373\,K\]
Answer» B.                 Water boils spontaneously at \[373\,K\]
5916.

The free energy change for a reversible reaction at equilibrium is [NCERT 1984; Kurukshetra CEE 1998;  AMU 1999]

A.                 Large positive   
B.                 Small negative
C.                 Small positive   
D.                 0
Answer» E.
5917.

For the reaction \[{{N}_{2}}+3{{H}_{2}}\]⇌\[2N{{H}_{3}};\,\Delta H=\] [Roorkee 2000; CBSE PMT 1991, 2002]

A.                 \[\Delta E-RT\]
B.                 \[\Delta E-2RT\]
C.                 \[\Delta E+RT\]                
D.                 \[\Delta E+2RT\]
Answer» C.                 \[\Delta E+RT\]                
5918.

The law of Lavoisier and Laplace illustrates [KCET 1989]

A.                 The principle of conservation of energy
B.                 Equivalence of mechanical and thermal energy
C.                 The principle of conservation of matter
D.                 Equivalence of mechanical and chemical energy
Answer» B.                 Equivalence of mechanical and thermal energy
5919.

For the reaction of one mole of zinc dust with one mole of sulphuric acid in a bomb calorimeter, \[\Delta \text{U}\] and w correspond to      [AIIMS 2005]

A.                 \[\Delta \text{U}<0,\ w=0\]       
B.                 \[\Delta \text{U}=0,\ w<0\]
C.                 \[\Delta \text{U}>0,\ w=0\]       
D.                 \[\Delta \text{U}<0,\ w>0\]
Answer» B.                 \[\Delta \text{U}=0,\ w<0\]
5920.

Which is not the correct relation between enthalpy \[(\Delta H)\]and intrinsic energy \[(\Delta E)\]         [EAMCET 1992]

A.                 \[\Delta H=\Delta E+\,P\,\Delta V\]
B.                 \[\Delta H\,=\,\Delta E\,+\,n\,RT\]
C.                 \[\Delta H=\Delta E\,-\,P\,\Delta V\]
D.                 \[\Delta E=\Delta H\,-\,P\,\Delta V\]
Answer» D.                 \[\Delta E=\Delta H\,-\,P\,\Delta V\]
5921.

For the reaction, \[{{A}_{(s)}}+2{{B}_{(g)}}\to 4{{C}_{(s)}}+{{D}_{(l)}}\]. \[\Delta H\] and \[\Delta U\] are related as ???      [Orissa JEE 2004]

A.                 \[\Delta H=\Delta U\]   
B.                 \[\Delta H=\Delta U+3RT\]
C.                 \[\Delta H=\Delta U+RT\]            
D.                 \[\Delta H=\Delta U-3RT\]
Answer» E.
5922.

For which of the reaction \[\Delta H=\Delta E\]                  [MP PET 2004]

A.                 \[{{N}_{2}}+3{{H}_{2}}\]⇌\[2N{{H}_{3}}\]      
B.                 \[{{N}_{2}}+{{O}_{2}}\to 2NO\]
C.                 \[2Na+C{{l}_{2}}\to 2NaCl\]       
D.                 \[PC{{l}_{5}}\to PC{{l}_{3}}+C{{l}_{2}}\]
Answer» C.                 \[2Na+C{{l}_{2}}\to 2NaCl\]       
5923.

The work done during the expansion of a gas from a volume of \[4d{{m}^{3}}\] to \[6d{{m}^{3}}\] against a constant external pressure of \[3atm\] is (\[1L\,atm\,=101.32\,J\])             [CBSE PMT 2004]

A.                 + 304 J  
B.                 ?304 J
C.                 ? 6 J      
D.                 ?608 J
Answer» E.
5924.

Internal energy is             [AFMC 2004]

A.                 Partly potential and partly kinetic
B.                 Totally kinetic
C.                 Totally potential
D.                 None of these
Answer» B.                 Totally kinetic
5925.

An ideal gas expands in volume from \[1\times {{10}^{-3}}{{m}^{3}}\] to \[1\times {{10}^{-2}}{{m}^{3}}\] at 300 K against a constant pressure of \[1\times {{10}^{5}}N{{m}^{-2}}\]. The work done is          [AIEEE 2004]

A.                 270 kJ   
B.                 ?900 kJ
C.                 ?900 J   
D.                 900 kJ
Answer» D.                 900 kJ
5926.

\[2C+{{O}_{2}}\to 2CO;\,\,\Delta H=-220\,kJ\] Which of the following statement is correct for this reaction [BVP 2004]

A.                 Heat of combustion of carbon is 110 kJ
B.                 Reaction is exothermic
C.                 Reaction needs no initiation
D.                 All of these are correct
Answer» C.                 Reaction needs no initiation
5927.

For the gaseous reaction,                 \[{{N}_{2}}{{O}_{4}}\to 2N{{O}_{2}}\]     [Pb. CET 2003]

A.                 \[\Delta H<\Delta E\]    
B.                 \[\Delta H=\Delta E\]
C.                 \[\Delta H=0\]  
D.                 \[\Delta H>\Delta E\]
Answer» E.
5928.

Which of the following is correct regarding the internal energy of a substance    [Pb. CET 2002]

A.                 It is a state function
B.                 It increases with increase in temperature
C.                 It can be calculated by experiment
D.                 It remains unaffected with change in temperature
Answer» B.                 It increases with increase in temperature
5929.

One mole of an ideal gas is allowed to expand reversibly and adibatically from a temperature of \[{{27}^{o}}C\]. If the work done during the process is \[3\,kJ\], then final temperature of the gas is \[({{C}_{V}}=20\,J/K)\]    [Pb. CET 2002]

A.                 100 K    
B.                 150 K
C.                 195 K    
D.                 255 K
Answer» C.                 195 K    
5930.

At constant T and P, which one of the following statements is correct for the reaction, \[CO(g)+\frac{1}{2}{{O}_{2}}(g)\to C{{O}_{2}}(g)\]                 [AIIMS 1982, 83; KCET 1988; BHU 1995; MP PET 1997, 99]

A.                 \[\Delta H\] is independent of the physical state of the reactants of that compound
B.                 \[\Delta H\,>\,\Delta E\]
C.                 \[\Delta H\,<\,\Delta E\]
D.                 \[\Delta H=\Delta E\]
Answer» D.                 \[\Delta H=\Delta E\]
5931.

\[\Delta {{E}^{o}}\] of combustion of isobutylene is \[-X\,kJ\,mo{{l}^{-1}}\]. The value of \[\Delta {{H}^{o}}\] is                  [DCE 2004]

A.                 \[=\Delta {{E}^{o}}\]      
B.                 \[>\Delta {{E}^{o}}\]
C.                 \[=0\]   
D.                 \[<\Delta {{E}^{o}}\]
Answer» E.
5932.

Enthalpy \[(H)\] is equal to          [MH CET  2004]

A.                 Internal energy E
B.                 Product of pressure (P) and volume (V) of gas
C.                 Internal energy E+PV
D.                 Work (W) done by a system
Answer» D.                 Work (W) done by a system
5933.

For the reaction                 \[PC{{l}_{5}}(g)\to PC{{l}_{3}}(g)+C{{l}_{2}}(g)\]                [MH CET 2004]

A.                 \[\Delta H=\Delta E\]    
B.                 \[\Delta H>\Delta E\]
C.                 \[\Delta H<\Delta E\]    
D.                 None of these
Answer» C.                 \[\Delta H<\Delta E\]    
5934.

If gas, at constant temperature and pressure expands then its [MH CET 2003]

A.                 Entropy increases and then decreases
B.                 Internal energy increases
C.                 Internal energy remains the same
D.                 Internal energy decreases
Answer» D.                 Internal energy decreases
5935.

Work done during isothermal expansion of one mole of an ideal gas from 10 atom. to 1 atm at 300K is    [BHU 2004]

A.                 4938.8 J
B.                 4138.8 J
C.                 5744.1 J
D.                 6257.2 J
Answer» D.                 6257.2 J
5936.

A system absorb 600J of heat and work equivalent to 300J on its surroundings. The change in internal energy is [Pb. PMT 2004]

A.                 300 J     
B.                 400 J
C.                 500 J     
D.                 600 J
Answer» B.                 400 J
5937.

The work done by a system is 8 joule, when 40 joule heat is supplied to it. What is the increase in internal energy of system [BHU 2001]

A.                 25 J        
B.                 30 J
C.                 32 J        
D.                 28 J
Answer» D.                 28 J
5938.

At \[{{27}^{o}}C,\] one mole of an ideal gas is compressed isothermally and reversibly from a pressure of 2 atm to 10 atm. The values of \[\Delta E\] and q are \[(R=2)\]           [BHU 2001]

A.                 0, ? 965.84 cal
B.                 ? 965.84 cal, + 965.84 cal
C.                 + 865.58 cal, ? 865.58 cal
D.                 ? 865.58 cal, ? 865.58 cal
Answer» B.                 ? 965.84 cal, + 965.84 cal
5939.

One mole of an ideal gas is allowed to expand freely and adiabatically into vacuum until its volume has doubled. A statement which is not true concerning this expression is [Pb. PMT 1998]

A.                 \[\Delta H=0\]  
B.                 \[\Delta S=0\]
C.                 \[\Delta E=0\]   
D.                 \[W=0\]
Answer» E.
5940.

For which of the following \[\Delta E=\Delta H\]                [MP PET 2003]

A.                 \[{{N}_{2}}{{O}_{4}}(g)\] ⇌ \[2N{{O}_{2}}(g)\]
B.                 \[2S{{O}_{2}}(g)+{{O}_{2}}(g)\] ⇌ \[2S{{O}_{3}}(g)\]
C.                 \[{{H}_{2}}(g)+C{{l}_{2}}(g)\] ⇌ \[2HCl(g)\]
D.                 \[{{H}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\] ⇌ \[{{H}_{2}}O(l)\]
Answer» D.                 \[{{H}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\] ⇌ \[{{H}_{2}}O(l)\]
5941.

The relation between \[\Delta E\] and \[\Delta H\] is [MP PET 1992; MP PMT 1996; MP PET/PMT 1998]

A.                 \[\Delta H=\Delta E-P\,\Delta V\]            
B.                 \[\Delta H=\Delta E+P\,\Delta V\]
C.                 \[\Delta E=\Delta V+\Delta H\]
D.                 \[\Delta E=\Delta H+P\,\Delta V\]
Answer» C.                 \[\Delta E=\Delta V+\Delta H\]
5942.

The value of \[\Delta H-\Delta E\] for the following reaction at \[{{27}^{o}}C\] will be \[2N{{H}_{3}}(g)\,\to \,{{N}_{2}}(g)+3{{H}_{2}}(g)\]    [Kerala (Med.) 2002]

A.                 \[8.314\times 273\times (-2)\]  
B.                 \[8.314\times 300\times (-2)\]
C.                 \[8.314\times 27\times (-2)\]    
D.                 \[8.314\times 300\times (2)\]
Answer» E.
5943.

According to Hess?s law, the heat of reaction depends upon [MP PMT 2003]

A.                 Initial condition of reactants
B.                 Initial and final conditions of reactants
C.                 Intermediate path of the reaction
D.                 End conditions of reactants
Answer» C.                 Intermediate path of the reaction
5944.

For the reaction, \[{{C}_{3}}{{H}_{8}}(g)+5{{O}_{2}}(g)\to \,\,3C{{O}_{2}}(g)+4{{H}_{2}}O(l)\] at constant temperature, \[\Delta H-\Delta E\] is              [CBSE PMT 2003]

A.                 ? RT      
B.                 + RT
C.                 ? 3RT    
D.                 + 3RT
Answer» D.                 + 3RT
5945.

Hess law is based on       [MH CET 2002]

A.                 Law of conservation of mass
B.                 Law of conservation of energy
C.                 Enthalpy is a state function
D.                 None of these
Answer» C.                 Enthalpy is a state function
5946.

In a closed insulated container, a liquid is stirred with a paddle to increase its temperature. In this process, which of the following is true        [CBSE PMT 2002]

A.                 \[\Delta E=W=Q=0\]      
B.                 \[\Delta E\ne 0,\,Q=W=0\]
C.                 \[\Delta E=W\ne 0,\,Q=0\]         
D.                 \[\Delta E=Q\ne 0,\,W=0\]
Answer» D.                 \[\Delta E=Q\ne 0,\,W=0\]
5947.

For the reaction \[C{{H}_{3}}COOH(l)+2{{O}_{2}}(g)\] ⇌ \[2C{{O}_{2}}(g)+2{{H}_{2}}O(l)\] at \[{{25}^{o}}C\] and 1 atm. pressure, \[\Delta H=-874\,kJ.\] Then the change in internal energy \[(\Delta E)\] is ?.       [Orissa JEE 2002]

A.                 ? 874 kJ
B.                 ? 871.53 kJ
C.                 ? 876.47 kJ         
D.                 + 874 kJ
Answer» B.                 ? 871.53 kJ
5948.

In an adiabatic expansion of an ideal gas [KCET (Med.) 2001; MH CET 2000]

A.                 \[W=-\Delta E\]               
B.                 \[W=\Delta E\]
C.                 \[\Delta E=0\]   
D.                 \[W=0\]
Answer» C.                 \[\Delta E=0\]   
5949.

In which of the following \[\Delta E=\Delta H\]  [MP PMT 2001]

A.                 \[{{N}_{2}}{{O}_{4}}(g)\] ⇌ \[2N{{O}_{2}}(g)\]
B.                 \[2S{{O}_{2}}(g)+{{O}_{2}}(g)\] ⇌ \[2S{{O}_{3}}(g)\]
C.                 \[{{H}_{2}}(g)+{{I}_{2}}(g)\] ⇌ \[2HI(g)\]
D.                 \[{{H}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\] ⇌ \[{{H}_{2}}O(l)\]
Answer» D.                 \[{{H}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\] ⇌ \[{{H}_{2}}O(l)\]
5950.

Joule-Thomson expansion is       [JIPMER 2000]

A.                 Isobaric
B.                 Isoenthalpic
C.                 Isothermal         
D.                 None of these
Answer» C.                 Isothermal