For the given reactions, A + B $$\to$$ Products, following data were obtained
[Ao]
[Bo]
Ro (mol L-1 s-1)
1
0.1
0.1
0.05
2
0.2
0.1
0.10
3
0.1
0.2
0.05
(a) Write the rate law expression
(b) Find the rate constant
Answer
(D)
R₀ = k [A₀]; k = 0.5 sec⁻¹
1
The radius of which of the following orbit is same as that of the first Bohr's orbit of hydrogen atom?
Answer
(D)
Be3+ (n = 2)
2
Find the equilibrium constant for the reaction,
In2+ + Cu2+ $$\to$$ In3+ + Cu+ at 298 K given
$$E_{C{u^{2 + }}/C{u^ + }}^o$$ = 0.15 V; $$E_{l{n^{2 + }}/l{n^ + }}^o$$ = -0.40 V; $$E_{l{n^{3 + }}/l{n^ + }}^o$$ = -0.42 V;
Answer
(C)
1010
2
The pair of compounds having metals in their highest oxidation state is
Answer
(B)
[MnO4]-, CrO2Cl
3
1.22 g of benzoic acid is dissolved in 100 g of acetone and 100 g of benzene separately. Boiling point of the solution in acetone increases by 0.17 oC, while that in the benzene increases by 0.13oC; Kb for acetone and benzene is 1.7 K kg mol-1 and 2.6 K kg mol-1. Find molecular weight of the benzoic acid in two cases and justify your answer.
Answer
(A)
122 in acetone and 244 in benzene, due to dimerization of benzoic acid in benzene.
3
According to molecular orbital theory which of the following statement about the magnetic character and bond order is correct regarding $$O_2^+$$
Answer
(B)
Paramagnetic and Bond order > O2
4
A compound AB has rock salt type structure. The formula weight of AB is 6.023 Y amu, and the closest A - B distance is Y1/3 nm, where Y is an arbitrary number
(a) Find the density of the lattice
(b) If the density of lattice is found to be 20 kg m-3, then predict the type of defect
Answer
(A)
Density = 5.0 kg/m³, Defect = Metal excess defect
4
A sodium salt on treatment with MgCl3 gives white precipitate only on heating. The anion of the sodium salt is
Answer
(A)
$$HCO_3^-$$
5
Draw the structure of XeF4 and OSF4 according to VSEPR theory clearly indicating the state of hybridisation of the central atom and lone pair of electrons (if any) on the central atom.
In the decreasing order of the O - O bond length present in them
O2, KO2 and O2[AsF4]
Answer
(C)
O2[AsF4] > O2 > KO2
7
A ball of mass 100 g is moving with 100 ms-1. Find it's wavelength.
Answer
(C)
6.626 x 10-35 m
8
(a) The Schrodinger wave equation for hydrogen atom is
$$$\psi = {1 \over {4\sqrt {2\pi } }}{\left( {{1 \over {{a_0}}}} \right)^{3/2}}\left( {2 - {{{r_0}} \over {{a_0}}}} \right){e^{ - {r_0}/{a_0}}}$$$
Where a0 is Bohr's radius. If the radial node in 2s be at r0, then find r0 in terms of a0.
(b) A baseball having mass 100 g moves with velocity 100 m/s. Determine the value of wavelength of baseball.