GT 6 AND GT 8

1.Figure shows the P-V diagram of an ideal gas undergoing a change of state from A to B. Four different parts I, II, III and IV as shown in the figure may lead to the same change of state.

a. Change in internal energy is the same in IV and III cases, but not in I and II.

 b.Change in internal energy is the same in all four cases.

c.Work done is maximum in case I.

 d.Work done is minimum in case II.

2.The efficiency of a Carnot engine depends upon:

3.The P-V diagram for an ideal gas in a piston-cylinder assembly undergoing a thermodynamic process is shown in the figure. The process is:

4.The graph given below shows variation of specific heat capacity of water versus temperature. 

From the graph given above, we can conclude that:

5.. The graph below shows the processes involved in a Carnot engine. 

For the two isotherms 1 and 2, the temperature of isotherm 1 is: 

6. By opening the door of a refrigerator inside a closed room:

7.An ideal gas undergoes four different processes from the same initial state (figure). Four processes are adiabatic, isothermal, isobaric and isochoric. Out of 1, 2, 3 and 4, which one is adiabatic?

8.1 g of water of volume 1 cm^3 at 100 °C is converted into steam at the same temperature under normal atmospheric pressure ≈1×10^5 Pa. The volume of steam formed equals 1671 cm^3. If the specific latent heat of vaporization of water is 2256 J/g, the change in internal energy is:

9.

Heat energy absorbed by a system in going through a cyclic process shown in figure is 

10. A sample of ideal monoatomic gas is taken round the cycle CBAC as shown in the figure. The work done during the cycle is 

11.The pressure of a monoatomic gas increases linearly from 4×10^5 N/m² to 8×10^5 N/m² when its volume increases from 0.2 m³ to 0.5 m³. Calculate molar heat capacity of the gas [R = 8.31 J/mol k]  

12.An ideal gas undergoes a cyclic process as shown in the graph between pressure (P) and temperature (T). The part of the graph which represents the absorption of heat from surrounding are

13.The mean free path l for a gas molecule depends upon the diameter, d of the molecule as:

14. An increase in temperature of a gas-filled in a container would lead to:

15.A gas mixture consist of 2 moles of O2 and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is:

16.One mole of an ideal monatomic gas undergoes a process described by the equation PV^3= constant. The heat capacity of the gas during this process is:

17.A given sample of an ideal gas occupies a volume V at a pressure p and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas?

18.The molecules of a given mass of gas have r.m.s velocity of 200 ms^-1 at 27°C and 1.0 x 10⁵ Nm^-2 pressure. When the temperature and pressure of the gas are respectively, 127°C and 0.05 X 10⁵ Nm^-2 , the RMS velocity of its molecules in ms^-1 is:

19.The molecules of a given mass of gas have RMS. velocity of 200 ms^-1 at 27 °C and 1.0×10⁵ Nm^-2 pressure. When the temperature and the pressure of the gas are respectively, 127 °C and 0.05×10⁵ Nm^-2, the RMS velocity of its molecules in ms^-1 is:

20.The ratio of the specific heats CP/CV=γ in terms of degrees of freedom (n) is given by –

21.4.0 g of a gas occupies 22.4 L at NTP. The specific heat capacity of the gas at constant volume is 5.0 J K^-1mol^-1. If the speed of sound in this gas at NTP is 952 ms^−1 , then the heat capacity at constant pressure is: (Take gas constant R=8.3 JK^-1mol^-1)

22.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, 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:

23.One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure. 

The change in internal energy of the gas during the transition is:

24.A monoatomic gas at a pressure p, having a volume V expands isothermally to a volume 2 V and then adiabatically to a volume 16 V. The final pressure of the gas is: (take  γ=5/3)

25.The mean free path of molecules of a gas, (radius r) is inversely proportional to :

26.The molar specific heats of an ideal gas at constant pressure and volume are denoted by C_P and C_V respectively. If γ=C_P/C_V and R is the universal gas constant, then CV is equal to

27.A second’s pendulum is mounted in a rocket. Its period of oscillation decreases when the rocket:

28.A particle executes linear simple harmonic motion with an amplitude of of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity  is equal to that of its acceleration. Then, its time period in seconds is 

29.A body mass m is attached to the lower end of a spring whose upper end is fixed. The spring has neglible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5s. The value of m in kg is-

30.. The displacement of a particle along the x-axis is given by x=asin^2 ωt .The motion of the particle corresponds to:

31. The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be

32. Two simple harmonic motions of angular frequency 100 and 1000 rad s−1 have the same displacement amplitude. The ratio of their maximum acceleration is –

33.A spring of force constant k is cut into lengths of ratio 1:2:3. They are connected in series and the new force constant is k^‘. Then they are connected in parallel and force constant is k’’. Then k’: k’’ is:

34.A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m/s² at a distance of 5 m from the mean position. The time period of oscillation is:

35.In a guitar, two strings  A and B made of same material are slightly out of tune and produce beats of frequency 6 Hz. When tension in B is slightly decreased, the beat frequency increases to 7 Hz.  If the frequency of A is 530 Hz, the original frequency of B will be

36.The length of the string of a musical instrument is 90 cm and has a fundamental frequency of 120 Hz. Where should it be pressed to produce a fundamental frequency of 180 Hz? 

37.A tuning fork with a frequency 800 Hz produces resonance in a resonance column tube with the upper end open and the lower end closed by the water surface. Successive resonances are observed at lengths 9.75 cm, 31.25 cm, and 52.75 cm. The speed of sound in air is:

38.A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27°C two successive resonances are produced at 20 cm and 73 cm column length. If the frequency of the tuning fork is 320 Hz, the velocity of sound in air at 27°C is:

39. The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is:

40.Two cars moving in opposite directions approach each other with speed of 22m/s and 16.5 m/s respectively. The driver of the first car blows a horn having a frequency 400 Hz. The frequency heard by the driver of the second car is [velocity of sound 340m/s]

41.

The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L metre long. The length of the open pipe will be

42.

A source of sound S emitting waves of frequency 100 Hz and an observer O are located at some distance from each other. The source is moving with a speed of 19.4 ms^-1 at an angle of 60° with the source observer line as shown in the figure. The observer is at rest. The apparent frequency observed by the observer (velocity of sound to air 330 ms^-1), is

43.4.0 gm of a gas occupies 22.4 litres at NTP. The specific heat capacity of the gas at constant volume is  5.0 JK^-1 mol^-1. If the speed of sound in the gas at NTP is 952 ms^-1, then the molar heat capacity at constant pressure is:[Take R=8.31 JK^−1 mol^−1]

44.A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. The lowest resonant frequency for this string is:

45.If n₁, n₂ and n₃ are, are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by

46.Consider the reaction,

R-CHO + NH₂-NH₂ → R-CH=N-NH₂

What type of reaction it is this?

47.The IUPAC name of the compound CH₃-CH₂-CH₂-CH(-C=CH₂)-CH(-CH₂-CH₃)-CH₂-CH₃ is,

48.C-H bond energy is about 101 kcal/mol for methane, ethane and other alkanes but is only 77 kcal/mol for C-H bond of CH₃ is toluene. This is because,

49.Paper chromatography is an example of,

50.Among the following carbocations,

(I)Ph₂C⁺CH₂Me

(II) PhCH₂CH₂C⁺HPh

(III) Ph₂CHC⁺HCH₃

(IV) Ph₂C(Me)C⁺H₂

The order of stability is,

51.Ethoxy ethane and methoxy propane are,

52.Given below are the two statements:

Statement I: A mixture of chloroform and aniline can be separated by simple distillation.

Statement II: When separating aniline from a mixture of aniline and water by steam distillation, aniline boils below its boiling point.

In the light of the above statements, choose the most appropriate answer from the options given below,

53.Generally, it is more difficult to purify organic compounds than inorganic compounds because,

54.A mixture of ethane and ethene occupies 40 L at 1.00 atm and 400 K. The mixture reacts completely with 130 g of O₂ to produce CO₂ and H₂ Assuming ideal gas behavior, the mole fractions of ethane and ethene in mixture are respectively,

55.The isoelectronic set of ions is,

56.Arrange the following compounds in order of increasing dipole moment, toluene (I), m-dichlorobenzene (II), o-dichlorobenzene (III), p-dichlorobenzene (IV),

57.The compound which contains both ionic and covalent bonds is,

58.The correct statements among I to III are,

I. Valence bond theory cannot explain the color exhibited by transition metal complexes.

II. Valence bond theory can predict quantitatively the magnetic properties of transition metal complexes.

III. Valence bond theory cannot distinguish ligands as weak and strong field ones.

59.Total number of lone pair of electrons in I₃^– ion is,

60.The correct statement for the molecule, CsI₃ is,

61.The species having bond order different from that in CO is,

62.In the compound CH₂=CH-CH₂-CH₂-C≡CH, the C₂-C₃ bonds is of,

63.The geometry and the type of hybrid orbital present about the central atom in BF3 is,

64.The bond between two identical non-metal atoms has a pair of electrons,

65.The ammonia evolved from the treatment of 0.30 g of an organic compound for the estimation of nitrogen was passed in 100 mL of 0.1 M sulphuric acid. The excess of acid required 20 mL of 0.5 M NaOH solution for complete neutralization. The organic compound is,

66.The correct order of bond dissociation energies for the indicated C-H bond in the following compounds is,

67.Which of the following gives the correct order of decreasing electron-withdrawing effect?

68.In Carius method of estimation of halogen, 0.172 g of an organic compound showed presence of 0.08 g of bromine. Which of the following is the compound?

69.Which of the following reacts with KMnO₄ but does not react with AgNO₃?

70.Consider the following addition reaction:

71.Propyne and propene can be distinguished by

72.Cetane is a compound which has very good ignition property. Chemically, it is

73.An isomer of C₅H₁₂ gives total six isomeric products on monochlorination. What will be the percentage yield of the primary monochloride which is chiral? Consider the following relative reactivity of C-H bonds for chlorination:

74.Which one of the following heptanols can be dehydrated to hept-3-ene only?

75.The best method to prepare cyclohexane from cyclohexanol is by using,

76.Which of the following alkane cannot be made in good yield by Wurtz reaction?

77.Which of the following reagents can be used for the conversion of C₆H₅CH₂CH₃ to C₆H₅CH=CH₂?

78.Ethylidene dichloride is obtained by the reaction of excess of HCl with,

79.The dihedral angle HCH in staggered conformation of C₂H₆ is,

80.If a molecule MX₃ has zero dipole moment, the sigma bonding orbitals used by M (atomic number < 21) are,

81.How many moles of K₂Cr₂O₇ can be reduced by 1 mole of Sn²⁺ ion?

82. The oxidation states of ‘P’ in H4P2O7, H4P2O5 and H4P2O6, respectively, are

83.The set that represents the pair of neutral oxides of nitrogen is:

84.Given below are the two statements:

Statement I: Sodium hydride can be used as an oxidising agent.

Statement II: The lone pair of electrons on nitrogen in pyridine makes it basic.

In the light of the above statements, choose the most appropriate answer from the options given below,

85.Consider the following reactions:

I. HOCl + H₂O₂ → H₃O⁺ + Cl^– + O₂

II. I₂ + H₂O₂ + 2OH^– → 2I^– + 2H₂O + O₂

Choose the correct option:

86.The compound that cannot act both as oxidizing and reducing agent is:

87.Stability of the species Li₂, Li₂^– and Li₂⁺ increases in the order of,

88.Hyperconjugation involves overlap of which of the following orbitals?

89.According to MO theory,

90.Which one among the following does not have the hydrogen bond?