GATE Chemistry Mock Test - 1 - Chemistry

40% of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is:           

Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding sentences?           
(I) At least one bench is a table  (II) At least one shelf is a bench
(III) At least one chair is a table  (IV) All benches are chairs           

“If you are looking for a history of India, or an account of the rise and fall of the British Raj, or for the reason of the cleaving of the subcontinent into two mutually antagonistic parts and the effects this mutilation will have in the respective sections, and ultimately on Asia, you will not find it in these pages; for though I have spent a lifetime in the country. I lived too near the seat of events, and was too intimately associated with the actors, to get the perspective needed for the impartial recording of these matters.” Here, the word ‘antagonistic’ is closest in meaning to:           

Trucks (10 m long) and cars (5 m long) go on a single lane bridge. There must be a gap of at least 20 m after each truck and a gap of at least 15 m after each car. Trucks and cars travel at a speed of 36 km/h. If cars and trucks go alternately. What is the maximum number of vehicles that can use the bridge in one hour?           

There are 3 Indians and 3 Chinese in a group of 6 people. How many subgroups of this group can we choose so that every subgroup has at least one Indian?           

The velocity V of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the 7 seconds, how much will the odometer reading increase by (in m)? 
          

A cube of side 3 units is formed using a set of smaller cubes of side 1 unit. Find the proportion of the number of faces of the smaller cubes visible to those which are not visible:           

Which of the following metallocene has 3.87 BM value of magnetic moment?           

Consider the compounds PF₅, SbF₅, PH₃ and SbH₃. The strongest acid and strongest base among these are resp:           

Which of the following is true for 2p_x, 2p_y and 2p_z orbitals of a H-atom?           

The species which by definition has zero standard molar enthalpy of formation at 298 K is:           

In fcc crystal lattice, edge length is 400 pm. Find the diameter of greatest sphere which can be fitted into the interstitial void without distortion of lattice:           

The molecules with the smallest rotation partition function at any temperature among the following is:           

Which statement is/are correct?           

Choose incorrect statement:           

At room temperature, which molecule has the minimum rotational entropy?                           

Predict the product for the following sugar functionalization reaction:

Consider the following:
   
Order of their stretching frequency in IR-spectroscopy would be:           

¹H NMR spectrum of an organic compound recorded on a 500 MHz spectrometer showed a quartet with line positions at 1759, 1753, 1747, 1741 Hz. Chemical shift (s) and coupling constant (Hz) of the quartet are?           

Choose incorrect option in reference to symmetry elements present in ‘Ethane (staggered)’ molecule:           

The standard emf of the cell, Cd(s) | CdCl₂(aq) (0.1 M) || AgCl(s) | Ag(s) in which the cell reaction, is,   is 0.6915 V at 0°C and 0.6753 V at 25°C. The DH° of the reaction at 25°C is:           

Choose the correct product of the following reaction:

 

The increasing order of pK_a values of the circled hydrogen in the following compounds is?
   

Consider the compound [M(h⁶-C₆H₆)(CS)₂]₂ as a stable compound which follows 18 e^– rule. Hence, metal ‘M’ can be

The nodal plane in the π-bond of ethene is located in:           

An inventor claims to have constructed an engine that has an efficiency of 75% when operated between the boiling and freezing points of water. Which of the following is true?           

Which of the following statement(s) is/are true about the reaction given below?           

For the conversion of X to Y, the appropriate sequence of reaction is:
 

The g values for Ce³⁺ (4f¹ ) and Pr³⁺ (4f² ) are, respectively:

An electronic state of a hydrogen atom is prepared to be a superposition energy of the eigenstates of the hydrogen atom, and for which the normalized wavefunction is written as

Hereare the exact eigen states of the hydrogen atom, and C_3s is a constant. What would be the average value of energy, associated with this wave function f, in a.u.:

The sum of s & p bonds in C₆N₆O₃ (Benzotrifurazan):

A plant virus is found to consist of uniform cylindrical particles of 150 angstrom in diameter and 5000 angstrom long. The specific volume of the virus is 0.75 cm³/g. If the virus is considered to be a single particle, find its molar mass (in g/mol, rounded up to three decimal places, in the multiple of 10⁷):

Product [B] formed in the following reaction would be:
 

The point group of Mn₂(Co)₁₀ is:

Thermal stability of hydrides of first group elements follows the order                                    

The values of l and m for the spherical harmonics   would be resp:

Choose correct:           

For the detection of sulfur in an organic compound, Lassaigne’s extract is acidified with acetic acid. Lead acetate solution is then added to it. The black precipitate formed is due to the formation of ?           

In Monsanto acetic process shown below, the role of HI is:

 

Each of the compounds Pt(NH₃)₆Cl₄, Cr(NH₃)₆Cl₃, Co(NH₃)₄Cl₃ and K₂PtCl₆ were dissolved in water to make its 0.001 M solution. The correct order of their increasing conductivity in solution is:

Correct reaction among the following is/are:
 

 

The spin-only (μS) and spin plus orbital (μS+L) magnetic moment of [CrCl₆]^3– are:           

Choose the correct product of the following reaction:

Choose the correct product of the following reaction:

For opposing reaction, A + B ↔ C + D, E_a = 100 kJ/mol and A = 10¹⁰ M^–1s^–1. The equilibrium concentration of A, B, C, D are 1, 2, 5, 4 M resp., at 700K. The values of k₁ and k_–1 at this temp are:

A, B, C and D elements form compounds AC, A₂D and BD. If AC and A₂D are radioactive and BD is not radioactive compound, find the following radioactive compounds:
(I) A₂   (II) A₂C  (III) C₂D   (IV) BC

The true statement for a polarographic measurement procedure is:                                           

The correct order of boiling point is?           

0.5 mole of each of H₂, SO₂ and CH₄ are kept in a container. A hole was made in the container. After 3 hours, the order of partial pressures in the container will be:

Consider the following chemical reaction & predict the major product. Major product has two geometrical isomers which are inter-convertible in presence of light:

Each Rubidium halide crystallizing in the NaCl type lattice has a unit cell length 30 pm greater than for corresponding potassium salt (R_K⁺ = 133 pm) of the same halogen. What is ionic radius (pm) of Rb⁺________? [Rounded up to two decimal places]

What would be the most probable radius (pm) at which an electron will be found when it occupies a 1s orbital of a Ne⁹⁺ atom ________? [Rounded up to two decimal places]

Consider the following reaction:

The number of possible isomers for [A] is are______?

What would be the relative population of the J = 1 and J = 0 rotational states of HCl at 25°C_______?               
(Given: B_HCl = 10.591 cm^–1) [Rounded up to first decimal place]

For the first order reaction  the initial pressure is P_A = 90 mm Hg, the pressure after 10 minutes is found to be 180 mm Hg. The rate constant (in sec^–1)of the reaction is Q × 10^–3: Therefore, Q is­­­ __? [Rounded up to two decimal places]

2 mole 'He' is mixed with 2 gm of H₂. The molar heat capacity (in the multiple of R) at constant pressure for mixture is_____? [Rounded up to two decimal places]

Ionic radii of Cs⁺ and Cl^– ions are 181 pm and 167 pm, respectively. The Born exponents for the He, Ne, Ar, Kr and Xe configurations are 5, 7, 9, 10 and 12 respectively. If the value of ANe²/4ᴨɛ_o is 2.45×10^–4Jm, the lattice energy (in kJ/mol) of CsCl according to Born-Lande equation is______? [Rounded up to first decimal place]

On the basis of data given below predict which of the following gases shows least adsorption on a definite amount of charcoal?

Choose the correct statement(s) in reference to simple harmonic and anharmonic oscillator model?           
(I) Two curves differ widely in lower and higher inter-nuclear distance region           
(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region           
(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure                                        
(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steep           

Consider (I) I^–, (II) Se^2–, (III) Br^–, (IV) O^2–, (V) F^– and arrange them in decreasing order of ionic radius.

Choose the correct product of the following reaction:

Consider the following chemical reaction sequence. Predict the product ‘Z’: