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.

3551.

A vessel of volume 5 litres contains 1.4 g of nitrogen at a temperature 1800 K. The pressure of the gas if 30% of its molecules are dissociated into atoms at this temperature is

A. 4.05 atm          
B. 2.025 atm
C. 3.84 atm         
D. 1.92 atm
Answer» E.
3552.

Dipole-dipole interaction energy between stationary polar molecules is proportional to x and that between rotating molecules is proportional to y. Assume distance between polar molecules as r, then x and y are

A. \[\frac{1}{{{r}^{6}}},\frac{1}{{{r}^{3}}}\]  
B. \[\frac{1}{{{r}^{6}}},\frac{1}{{{r}^{6}}}\]
C. \[\frac{1}{{{r}^{3}}},\frac{1}{{{r}^{3}}}\]  
D. \[\frac{1}{{{r}^{3}}},\frac{1}{{{r}^{6}}}\]
Answer» E.
3553.

A balloon containing 1 mole air at 1 atm initially is filled further with air till pressure increases to 4 atm. The initial diameter of the balloon is 1 m and the pressure at each stage is proportion to diameter of the balloon. How many no. of moles of air added to change the pressure from 1 atm to 4 atm:

A. 80                    
B. 257
C. 255     
D. 256
Answer» D. 256
3554.

The rms speed of \[{{N}_{2}}\] molecules in a gas is \[u\]. If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms, the rms speed becomes

A. \[u/2\]  
B. \[2u\]
C. \[4u\]               
D. \[14u\]
Answer» C. \[4u\]               
3555.

Two gases A and B present separately in two vessels X and Y at the same temperature with molecular weights M and 2M respectively are effused out. The orifice in vessel X is circular while that in Vis a square. If the radius of the circular orifice is equal to that of the length of the square orifice, the ratio of rates of effusion of gas A to that of gas B is

A. \[\sqrt{2}\pi \]  
B. \[\sqrt{\frac{\pi }{2}}\]
C. \[2\pi \]            
D. \[\sqrt{\frac{2}{\pi }}\]
Answer» B. \[\sqrt{\frac{\pi }{2}}\]
3556.

The ratio among most probable velocity, mean velocity and root mean square velocity is given by

A. \[1:2:3\]           
B. \[1:\sqrt{2}:\sqrt{3}\]
C. \[\sqrt{2}:\sqrt{3}:\sqrt{8/\pi }\]
D. \[\sqrt{2}:\sqrt{8/\pi }:\sqrt{3}\]
Answer» E.
3557.

If Z is a compressibility factor, van der Waals equation at low pressure can be written as

A. \[Z=1-\frac{Pb}{RT}\]  
B. \[Z=1+\frac{Pb}{RT}\]
C. \[Z=1+\frac{RT}{Pb}\]
D. \[Z=1-\frac{a}{VRT}\]
Answer» E.
3558.

Positive deviation from ideal behaviour takes place because of

A. The molecular interaction between atom and \[PV/nRT>1\]
B.  The molecular interaction between atom and \[PV/nRT<1\]
C.  The-finite size of atoms and \[PV/nRT>1\]
D.  The finite size of atoms and \[PV/nRT<1\]
Answer» B.  The molecular interaction between atom and \[PV/nRT<1\]
3559.

When the temperature increases, the surface tension of water

A. Increases
B.  Decreases
C.  Remains constant
D.  Shows irregular behaviour
Answer» C.  Remains constant
3560.

In the van der Waals equation

A. b is the volume occupied by the gas molecules
B.  b is four times the volume occupied by the gas molecules
C.  b is the correction factor for intermolecular attraction
D.  None of these
Answer» C.  b is the correction factor for intermolecular attraction
3561.

Relative humidity of air is \[60{}^\circ \] and the saturation vapour pressure of water vapour in air is 3.6 k Pa. The amount of water vapours present in 2 L air at 300 K is

A. 52 g                             
B. 31.2 g
C. 26 g                
D. 5.2 g
Answer» C. 26 g                
3562.

A gas obeys P(V - b) = RT. Which of the following is correct about this gas?I. Isochoric curves have slope =\[\frac{V-b}{R}\]II. sobaric curves have slope \[\frac{R}{P}\] and intercept b.III. For the gas, compressibility factor = \[1+\frac{Pb}{RT}\]IV. The attraction forces are overcome by repulsive forces. 

A. I                      
B. II, III, IV
C. III                   
D. I, II, III, IV
Answer» C. III                   
3563.

At what temperature will the total KE of 0.3 mol of He be the same as the total KE of 0.40 mol of Ar at 400 K?

A. 533 K
B. 400 K
C. 346                 
D. 300 K
Answer» B. 400 K
3564.

Total pressure of a mixture of \[{{H}_{2}}\] and \[{{O}_{2}}\] is 1.00 bar. The mixture is allowed to react to form water, which is completely removed to leave only pure \[{{H}_{2}}\] at a pressure of 0.35 bar. Assuming ideal gas behaviour and that all pressure measurements were made under the same temperature and volume conditions, the composition of the original mixture is

A. \[{{X}_{{{H}_{2}}}}\]\[{{X}_{{{O}_{2}}}}\]0.500.50
B. \[{{X}_{{{H}_{2}}}}\]\[{{X}_{{{O}_{2}}}}\]0.220.78 
C. \[{{X}_{{{H}_{2}}}}\]\[{{X}_{{{O}_{2}}}}\]0.780.22
D. \[{{X}_{{{H}_{2}}}}\]\[{{X}_{{{O}_{2}}}}\]0.350.65
Answer» D. \[{{X}_{{{H}_{2}}}}\]\[{{X}_{{{O}_{2}}}}\]0.350.65
3565.

Density of a 2.05 M solution of acetic acid in water is 1.02 g/mL. The molality of the solution is

A. 0.44 mol \[k{{g}^{-1}}\]
B. 1.14 mol \[k{{g}^{-1}}\]
C. 3.28 mol \[k{{g}^{-1}}\]
D. 2.28 mol \[k{{g}^{-1}}\]
Answer» E.
3566.

For the reaction \[2x+3y+4z\to 5w\] Initially if 1 mole of x, 3 moles of y and 4 moles of z is taken. If 1.25 moles of w is obtained then % yield of this reaction is

A. 50%     
B. 0.6
C. 70%                 
D. 0.4
Answer» B. 0.6
3567.

Which of the following changes with increase in Temperature?

A. Molality
B. Weight fraction of solute
C. Fraction of solute present in water
D. Mole fraction
Answer» D. Mole fraction
3568.

The minimum quantity in gram of \[{{H}_{2}}S\] needed to precipitate 63.5 g of \[C{{u}^{{{2}^{+}}}}\] will be \[(C{{u}^{{{2}^{+}}}}+{{H}_{2}}S\to C{{u}_{2}}S+{{H}_{2}})\] Black

A. 63.5 g  
B. 31.75 g
C. 34 g     
D. 2 g
Answer» D. 2 g
3569.

A gaseous mixture contains \[C{{O}_{2}}(g)\] and \[{{N}_{2}}O(g)\] in 2 : 5 ratio by mass. The ratio of the number of molecules of \[C{{O}_{2}}(g)\]and \[{{N}_{2}}O(g)\]is

A. 5:2                   
B. 0.0868055555555556
C. 1 : 2                 
D. 0.211111111111111
Answer» C. 1 : 2                 
3570.

How many litre of 2 M \[{{H}_{3}}As{{o}_{4}}\] require to prepare 4 litres of l M \[{{H}_{3}}As{{o}_{4}}\]?

A. 0
B. 6
C. 8
D. 2
Answer» E.
3571.

29.2 % (w/w) HCl stock solution has density of 1.25 g \[m{{L}^{-1}}\]. The molecular weight of HCl is 36.5 g \[mo{{l}^{-1}}\]. The volume (mL) of stock solution required to prepare a 200 mL solution of 0.4 M HCl is

A. 6
B. 5
C. 3
D. 8
Answer» E.
3572.

How many \[{{N}_{4}}\] electron is present in 5.1 g \[N{{H}_{3}}\] ?

A. 1
B. 2
C. 3
D. 4
Answer» D. 4
3573.

A student performs a titration with different burettes and finds titre values of 25.2 mL, 25.25 ml and 25.0 mL. The number of significant figures in the average titre value is

A. 3
B. 4
C. 5
D. 6
Answer» B. 4
3574.

Irrespective of the source, pure sample of water always yields 88.89% mass of oxygen and 11.11% mass of hydrogen. This is explained by the law of

A. Conservation of mass
B. Constant composition
C. Multiple proportions
D. Constant volume
Answer» C. Multiple proportions
3575.

The percentage of Se in peroxidase anhydrous enzyme is 0.5% by weight (atomic weight = 78.4). Then minimum molecular weight of peroxidase anhydrous enzyme is

A. \[15.68\]           
B. \[1.568\times {{10}^{3}}\]
C. \[1.568\times {{10}^{4}}\]       
D. \[3.136\times {{10}^{4}}\]
Answer» D. \[3.136\times {{10}^{4}}\]
3576.

Given that the abundance of isotopes \[^{54}Fe\], \[^{56}Fe\] and \[^{57}Fe\] is 5%, 90% and 5%, respectively. The atomic mass of Fe is

A. 55.85   
B. 55.95
C. 55.75   
D. 55.05
Answer» C. 55.75   
3577.

A sample of pure carbon dioxide, irrespective of its source contains 27.27% carbon and 72.73% oxygen. The data support

A. Law of constant composition
B. Law of conservation of mass
C. Law of reciprocal proportions
D. Law of multiple proportions
Answer» B. Law of conservation of mass
3578.

\[Br{{O}_{3}}^{\odot }+5B{{r}^{\odot }}\to B{{r}_{2}}+3{{H}_{2}}O\]If 50 mL 0.1 M \[Br{{O}_{3}}^{\odot }\] is mixed with 30 mL of 0.5 M  \[B{{r}^{\Theta }}\]solution that contains excess of \[{{H}^{\oplus }}\] ions, the moles of \[B{{r}_{2}}\] formed are

A. \[6.0\times {{10}^{-4}}\]         
B. \[1.2\times {{10}^{-4}}\]
C. \[9.0\times {{10}^{-3}}\]
D. \[1.8\times {{10}^{-3}}\]
Answer» D. \[1.8\times {{10}^{-3}}\]
3579.

Mole fraction of ethanol in ethanol water mixture is 0.25. Hence, the percentage concentration of ethanol by weight of mixture is

A. 25%                 
B. 0.75
C. 46%     
D. 0.54
Answer» D. 0.54
3580.

The simplest formula of a compound containing 50% of an element X (atomic weight 10) and 50% of element Y (atomic weight 20) is:

A. \[XY\]               
B. \[{{X}_{2}}Y\]
C. \[{{X}_{{}}}{{Y}_{2}}\]                     
D. \[{{X}_{2}}{{Y}_{3}}\]
Answer» C. \[{{X}_{{}}}{{Y}_{2}}\]                     
3581.

If 0.5 mole of \[BaC{{l}_{2}}\]is mixed with 0,20 mole of \[N{{a}_{3}}P{{O}_{4}}\], the maximum number of moles of\[B{{a}_{3}}(P{{O}_{4}})\] that can be formed is

A. 0.1       
B. 0.2
C. 0.5                   
D. 0.7
Answer» B. 0.2
3582.

1.0 g of a monobasic acid when completely acted upon Mg gave 1.301 g of anhydrous Mg salt. Equivalent weight of acid is

A. 35.54   
B. 36.54
C. 17.77   
D. 18.27
Answer» C. 17.77   
3583.

To neutralize completely 20 mL of 0.l M aqueous solution of phosphorus (\[{{H}_{3}}P{{O}_{3}}\]) acid the volume of 0.1 M aqueous KOH solution required is

A. 60 mL  
B. 20 mL
C. 40 mL
D. 10 mL
Answer» D. 10 mL
3584.

A gaseous hydrocarbon gives upon combustion, 0.72 g of water and 3.08 g of \[C{{O}_{2}}\] The empirical formula of the hydrocarbon is

A. \[{{C}_{2}}{{H}_{4}}\]          
B. \[{{C}_{3}}{{H}_{4}}\]
C. \[{{C}_{6}}{{H}_{5}}\]          
D. \[{{C}_{7}}{{H}_{8}}\]
Answer» E.
3585.

X and Y are two elements which form \[{{X}_{2}}{{Y}_{3}}\] and \[{{X}_{3}}{{Y}_{4}}\]. If 0.20 mol of \[{{X}_{2}}{{Y}_{3}}\] weighs 32.0 g and 0.4 mol of \[{{X}_{3}}{{Y}_{4}}\] weighs 92.8 g, the atomic weights of \[X\] and\[Y\] Fare respectively

A. 16.0 and 56.0   
B. 8.0 and 28.0
C. 56.0 and 16.0
D. 28.0 and 8.0
Answer» D. 28.0 and 8.0
3586.

How many grams of sucrose (M. wt. = 342) should be dissolved in 100 g water in order to produce a solution with a \[105.0{}^\circ C\] difference between the boiling point and the freezing temperatures? \[({{K}_{f}}=\text{ }1.86\text{ }C\text{/}m,\,\,{{K}_{b}}=0.51{}^\circ C\text{/}m)\]

A. 34.2 g  
B. 72 g
C. 342 g   
D. 460 g
Answer» C. 342 g   
3587.

The vapour pressure of n-hexane at 350 K is 840 torr and that of cyclohexane is 600 torr. Mote fraction of hexane in the mixture that boils at 350 K and 1 atm pressure assuming ideal behaviour is

A. 0.67                 
B. 0.8
C. 0.50                 
D. 2.2
Answer» B. 0.8
3588.

A current of dry air is passed through a bulb containing 5 g of a solute in 100 g of water and then through water alone. The losses in weight of the solution and pure water were respectively 0.78 g and 0.02 g. Calculate relative lowering of vapour pressure.

A. 2.04                 
B. 1.05
C. 0.03                 
D. 0.09
Answer» D. 0.09
3589.

An ideal mixture of liquids A and B with 2 moles of A and 2 moles of B has a total vapour pressure of 1 atm at a certain temperature. Another mixture with 1 mole of A and 3 moles of B has a vapour pressure greater than 1 atm. But if 4 moles of C are added to the second mixture, the vapour pressure comes down to 1 atm. Vapour pressure of C, \[P_{c}^{0}\]=0.8 atm. Calculate the vapour pressures of pure A and pure B

A. \[P_{A}^{o}\]=1.4 atm, \[P_{B}^{o}\]=0.7 atm
B. \[P_{A}^{o}\]=1.2atm, \[P_{B}^{o}\]=0.6atm
C. \[P_{A}^{o}\]=1.4atm, \[P_{B}^{o}\]=0.6atm
D. \[P_{A}^{o}\]= 0.6 atm, \[P_{B}^{o}\]= 1.4 atm
Answer» E.
3590.

Out of the following liquid pair which solution follows the positive deviation from Raoult's law?

A. Acetone + Chloroform
B. Water + Nitric acid
C. Water + Hydrochloric acid
D. Benzene + Methanol
Answer» E.
3591.

Henry's law constant for \[{{N}_{2}}\] at 310 K is 82.35 kbar. \[{{N}_{2}}\] exerts a partial pressure of 0.840 bar. If \[{{N}_{2}}\] gas is bubbled through water at 293 K, then the number of millimoles of \[{{N}_{2}}\] that will dissolve in 1 L of water is

A. \[0.0716\]         
B. \[1.30\times {{10}^{-5}}\]
C. \[1.25\times {{10}^{-2}}\]        
D. 0.0555
Answer» E.
3592.

The degree of dissociation (1) of a weak electrolyte \[{{A}_{x}}{{B}_{y}}\] is related to van't Hoff factor (i) by the expression

A. \[\alpha =\frac{i-1}{(x+y-1)}\]
B. \[\alpha =\frac{i-1}{x+y+1}\]
C. \[\alpha =\frac{x+y-1}{i-1}\]                 
D. \[\alpha =\frac{x+y+1}{i-1}\]
Answer» B. \[\alpha =\frac{i-1}{x+y+1}\]
3593.

In a mixture of A and B, components show -ve deviations as,

A. \[\Delta {{V}_{mix}}\,\text{is}+ve\]
B. \[A-B\] interaction is weaker than \[A-A\] and \[B-B\] interaction
C. \[\Delta {{H}_{mix}}\,\text{is}+ve\]                                  
D. A-B interaction is stronger than \[A-A\] and \[B-B\] interaction
Answer» E.
3594.

The degree of dissociation of \[Ca{{(N{{O}_{3}})}_{2}}\] in a dilute solution containing 14 g of the salt per 200 g of water at \[100{}^\circ C\]is 70%. If the vapour pressure of water is 760 mmHg, calculate the vapour pressure of solution.

A. 750.6 mmHg     
B. 755.8 mmHg
C. 745.98 mmHg
D. 739.56 mmHg
Answer» D. 739.56 mmHg
3595.

A living cell contains a solution which is isotonic with 0.3 (M) sugar solution. What osmotic pressure develops when the cell is placed in 0.1 (M) KCl solution at body temperature?

A. 5.08 atm          
B. 2.54 atm
C. 4.92 atm          
D. 2.46 atm
Answer» C. 4.92 atm          
3596.

Phenol associates in benzene to a certain extent to form a dimer. A solution containing \[20\times {{10}^{-3}}\] kg of phenol in 1.0 kg-of benzene has its freezing point depressed by 0.69 K. Calculate the fraction of phenol that has dimerised. (\[{{K}_{f}}\]for benzene = 5.12 K kg \[mo{{l}^{-1}}\])

A. 28.5%  
B. 0.326
C. 73.3%  
D. 0.82
Answer» D. 0.82
3597.

Freezing point of a biological fluid is \[-0.60{}^\circ C\]in aqueous solution \[{{K}_{f}}({{H}_{2}}O)=\text{ }1.86{}^\circ mo{{l}^{-}}~kg.\] Thus, its osmotic pressure at 310 K is (assume molarity = molality)

A. 0.0766 atm       
B. 7.66 atm
C. 0.766 atm         
D. 8.19 atm
Answer» E.
3598.

Solute A is a ternary electrolyte and solute B is non-electrolyte. If 0.1 M solution of solute B produces an osmotic pressure of 2P, then 0.05 M solution of A at the same temperature will produce an osmotic pressure equal to:

A. P                     
B. 1.5P
C. IP                    
D. 3P
Answer» E.
3599.

The cryoscopic constant for acetic acid is 3.6 K kg/mol. A solution of 1 g of a hydrocarbon in 100 g of acetic acid freezes at \[16.14{}^\circ C\]instead of the usual\[16.60{}^\circ C\]. The hydrocarbon contains 92.3% carbon. What is the'molecular formula?

A. \[{{C}_{6}}{{H}_{6}}\]          
B. \[{{C}_{6}}{{H}_{12}}\]
C. \[{{C}_{8}}{{H}_{18}}\]         
D. \[{{C}_{10}}{{H}_{6}}\]
Answer» B. \[{{C}_{6}}{{H}_{12}}\]
3600.

Which of the given aqueous solution has the maximum boiling point? \[({{K}_{b}}\,of\,{{H}_{2}}O)=0.52{}^\circ \,mo{{l}^{-1}}kg),\,{{T}_{b}}({{H}_{2}}O)=373K)\]

A. 6% urea solution by weight of solution
B. 18% glucose solution by weight of solution
C. 34.2% sucrose solution by weight of solution
D. All have equal boiling points
Answer» D. All have equal boiling points