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PCM - Mock Test (30 Sep) - JEE MCQ


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30 Questions MCQ Test Daily Test for JEE Preparation - PCM - Mock Test (30 Sep)

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PCM - Mock Test (30 Sep) - Question 1

A ideal gas is undergoing following thermodynamic cycle, consisting of isobaric, isothermal and adiabatic. The corresponding PT curve is : (approx.)


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PCM - Mock Test (30 Sep) - Question 2

In pressure-volume diagram given below, the isochoric, isothermal, and isobaric parts respectively, are-


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Process CD is isochoric as volume is constant, Process DA is isothermal as temperature constant and process AB is isobaric as pressure is constant.

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PCM - Mock Test (30 Sep) - Question 3

Six moles of an ideal gas performs a cycle shown in figure. If the temperature are TA = 600K,

TB = 800 K, TC = 2200K and TD = 1200 K, the work done per cycle is -


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PCM - Mock Test (30 Sep) - Question 4

In an adiabatic process gas is reduced to quarter of its volume. What would happen to its pressure? Given ratio of specific heats γ= 2

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Correct Answer : C

Explanation : The adiabatic condition is given by the relation between pressure volume and temperature volume as:

(PV)γ = constant 

where, γ = Cp/Cv is ratio of the specific heats

These relations suggest that an decrease in volume is associated with increase in temperature

 

ATQ 

P1(V1)γ = (P2V2

=> P1(1)2 = P2(4)2

P1/P2 = 16

PCM - Mock Test (30 Sep) - Question 5

n moles of an ideal gas undergoes a process A to B as shown. Maximum temperature of gas during the process is –


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PCM - Mock Test (30 Sep) - Question 6

The figure shows two isotherms at temperatures T1 and T2. A gas is taken from one isotherm to another isotherm through different processes. Then change in internal energy ΔU has relation -


Detailed Solution for PCM - Mock Test (30 Sep) - Question 6

Internal energy depends only on state but not on the process. Hence its change is same for all the processes between two same states

PCM - Mock Test (30 Sep) - Question 7

For one complete cycle of a thermodynamic process on a gas as shown in the P-V diagram. Which of the following is correct ?


Detailed Solution for PCM - Mock Test (30 Sep) - Question 7

ΔEint = 0, for a complete cycle and for given cycle work done is negative, so from first law of thermodynamics Q will be negative i.e. Q < 0.

PCM - Mock Test (30 Sep) - Question 8

In an adiabatic expansion of air the volume increases by 5%. What is the percentage change in pressure ? [(1.05)7/5 = 1.07]

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PCM - Mock Test (30 Sep) - Question 9


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PCM - Mock Test (30 Sep) - Question 10

Hydrogenation of the above compound in the presence of poisoned pallodium catalyst gives

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PCM - Mock Test (30 Sep) - Question 11

What would be the product when ethene is oxidised with cold dil. KMnO4 solution -

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PCM - Mock Test (30 Sep) - Question 12


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PCM - Mock Test (30 Sep) - Question 13


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PCM - Mock Test (30 Sep) - Question 14

The reacting species of alc. KOH is -

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PCM - Mock Test (30 Sep) - Question 15

For an ideal solution of two components and B, which of the following is true?

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Solutions in which solute - solute and solvent-solvent interactions are almost similar to solute solvent interactions are known as ideal solution.

PCM - Mock Test (30 Sep) - Question 16
Which one of the following gases has the lowest value of Henry's law constant?
Detailed Solution for PCM - Mock Test (30 Sep) - Question 16
According to Henry's law the mass of a gas dissolved per unit volume of solvent is proportional to the pressure of the gas at constant temperature i.e. as the solubility increases, value of Henry's law constant decreases. Since is most soluble in water among the given set of gases. Therefore has the lowest value of Henry's law constant.
PCM - Mock Test (30 Sep) - Question 17
Which of the following statement is correct if the intermolecular forces in liquids and are in the order
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Lesser the intermolecular forces, the more the volatile character.
PCM - Mock Test (30 Sep) - Question 18
At and 1 atmosphere partial pressure of hydrogen, of hydrogen measured at STP dissolves in of water. If water at is exposed to a gaseous mixture having a total pressure of of (excluding the vapour pressure of water) and containing hydrogen by volumne, then the volume of hydrogen measured at STP that will dissolve in 1 L of water is
Detailed Solution for PCM - Mock Test (30 Sep) - Question 18
From the given data
of atmosphere
atmosphere If 's are volumes of gas dissolved by same volume of liquid, then from Henry's law
; or
or
PCM - Mock Test (30 Sep) - Question 19

Hydrogenation of the above compound in the presence of poisoned pallodium catalyst gives

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PCM - Mock Test (30 Sep) - Question 20

The number of structural and configurational isomers of a bromo compound, C5H9Br formed by the addition of HBr to 2-pentyne respectively -

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PCM - Mock Test (30 Sep) - Question 21
Which of the following is true regarding azeotropes?
Detailed Solution for PCM - Mock Test (30 Sep) - Question 21
Azeotropes have the same concentration in the vapour phase and the liquid phase. In case of minimum boiling azeotropes, the boiling point of the azeotrope is lesser than the booling point of either of the pure components. In case of maximum boiling azeotropes, the boling point of the azeotrope is higher than the boiling point of either of the pure components.
PCM - Mock Test (30 Sep) - Question 22

Which of the following functions defined below are NOT differentiable at the indicated point?

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PCM - Mock Test (30 Sep) - Question 23


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PCM - Mock Test (30 Sep) - Question 24


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PCM - Mock Test (30 Sep) - Question 25

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so a2 -3a + 2  here a + b = 3  ab = 2  
a2 + b2 = (a+b)2 - 2ab = 32 - 2(2) = 9 - 4  = 5

PCM - Mock Test (30 Sep) - Question 26


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PCM - Mock Test (30 Sep) - Question 27


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PCM - Mock Test (30 Sep) - Question 28


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PCM - Mock Test (30 Sep) - Question 29


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PCM - Mock Test (30 Sep) - Question 30

A right triangle is drawn in a semicircle of radius 1/2 with one of its legs along the diameter. The maximum area of the triangle is

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