JEE Main Test 79

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JEE Main Test 79

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Weekly Quiz Competition

Question 1
4 / -1

A compound M_PX_q has cubic close packing (ccp) arrangement of X. Its unit cell structure is shown below. The empirical formula of the compound, is

A
MX

B
MX₂

C
M₂X

D
M₅X₁₄

Solution

The given compound M_PX_q, has CCP.

Hence contribution of M-atom from each edge = ¼

∴ no. of M atom = (1/4×4)+1

(from edge) (from body centre)

1 + 1 = 2

No. of X atom = (1/8 × 8) + 1/2 ×6(from face centre)

(from corners)

1 + 3 = 4.

∴ Empirical formula = M₂X₄ = (MX₂)₂ or MX₂
Question 2
4 / -1

Isomers of hexane, based on their branching can be divided into three distinct classes as shown in the figure. The correct order of their boiling point is

A
I > II > III

B
III > II > I

C
II > III > I

D
III > I > II

Solution
Question 3
4 / -1

An oxygen containing organic compound was found to contain 52% carbon and 13% hydrogen. Its vapour density is 23. The compound reacts with sodium metal to liberate hydrogen. A functional isomer of this compound is

A
ethanal

B
methoxy methane

C
methoxy ethane

D
ethanol

Solution

% of ¹²C → 52

% of ¹H → 13

% of ¹⁶O = [100-(52+13)] = 100 – 65 = 35

Number of ¹²C atom = 52/12 = 4.33

No. of ¹H atom = 13/1 = 13

No. of ¹⁶O atom = 35/16 = 2.18

Simple ratios of

C : H : O

4.33/2.18 : 13/2.18 : 2.18/2.18

1.98 : 5.96 : 1

2 : 6 : 1

∴ Empirical formula = C₂H₆O

Empirical weight = (212) + (61) + 16 = 46g

Molecular weight = 2 VD = 223 = 46

n = 46/46 = 1

∴ Molecular formula of the compound = C₆H₆O

Compound reacts with Na to liberate H₂

∴ Compound is H₃C – CH₂ – OH

∴ A functional isomer of ethanol is H₃C – O – CH₃

Hence the compound is methoxy methane.
Question 4
4 / -1

AgNO₃ (aq) was added to an aqueous KCl solution gradually and the conductivity of the solution was measured. The plot of conductance (˄) versus the volume of AgNO₃ is

A
(I)

B
(II)

C
(III)

D
(IV)
Question 5
4 / -1

The value of Ʌ^∞_eq for NH₄ Cl, NaOH and NaCl are respectively, 149.74, 248.1 and 126.4 Ω^-1 cm² equiv^-1. The value of Ʌ^∞_eq of NH₄OH is

A
371.44

B
271.44

C
71.44

D
Cannot be predicated from given data

Solution
Question 6
4 / -1

Dissolving 120 g of urea (mol. wt. 60) in 1000 g of water gave a solution of density 1.15 g/mL. The molarity of the solution is

A
1.78 M

B
2.00 M

C
2.05 M

D
2.22 M

Solution
Question 7
4 / -1

The standard emf for the cell reaction

2Cu⁺ (aq) → Cu(s) + Cu²⁺ (aq)

is + 0.36 V at 298 K. The equilibrium constant of the reaction is

A
5 × 10⁶

B
1.4 × 10¹²

C
7.4 × 10¹²

D
1.2 × 10⁶

Solution
Question 8
4 / -1

The conversion of A to B follows second order kinetics, doubling the concentration of A will increase the rate of formation of B by a factor of

A
4

B
2

C
1/4

D
1/2

Solution
Question 9
4 / -1

The cell, Zn | Zn²⁺ (1 M) || Cu²⁺ (1 M) | Cu (E^o_cell = 1.10V), was allowed to be completely discharged at 298 K. The relative concentration of Zn²⁺to

A
antilog (24.08)

B
antilog (37.3)

C
10^37.3

D
9.65 × 10⁴

Solution
Question 10
4 / -1

Given the data at 25^oC.
Ag + I^- → AgI + e^- ; E^o = 0.152 V
Ag → Ag⁺ + e^-, E^o = - 0.800V
What is the value of log K_sp for AgI ?

A
-8.12

B
+8.612

C
-37.83

D
-16.13

Solution