Arjuna JEE 2025 Board Pattern Test - 02

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Questions and Answers

What is the compressibility factor, Z, for an ideal gas?

  • Infinity
  • 0
  • Varies with temperature
  • 1 (correct)

Which of the following species can act as both a Bronsted acid and a base?

  • H2O (correct)
  • NaCl
  • NH4+
  • MgO

Which species has the highest oxidation number of chlorine?

  • Cl2O7 (correct)
  • NaClO4
  • NaClO3
  • ClO2

In a scenario adjusting temperature and pressure, according to the Le Chatelier principle, decreasing the temperature favors which type of reaction?

<p>Exothermic reactions (C)</p> Signup and view all the answers

What is the main difference between molarity and molality?

<p>Molarity is dependent on temperature; molality is not (B)</p> Signup and view all the answers

What is the characteristic of the entropy change in a reversible adiabatic process?

<p>Always zero (D)</p> Signup and view all the answers

What is the oxidation state of sulfur in Na2S4O6?

<p>+4 (A)</p> Signup and view all the answers

Which of the following options correctly describes a Bronsted base?

<p>A substance that accepts protons (A)</p> Signup and view all the answers

Which factor does NOT affect entropy changes in a system?

<p>Rate of reaction (B)</p> Signup and view all the answers

What is the conjugate base of HCO3-?

<p>CO3^2- (C)</p> Signup and view all the answers

Which quantum number set corresponds to a p orbital?

<p>n = 2, l = 1 (C)</p> Signup and view all the answers

How does the average atomic mass of hydrogen compare to other elements?

<p>It has the lowest atomic mass among all elements. (D)</p> Signup and view all the answers

For an ideal gas, which conditions must be met for it to behave ideally?

<p>High pressure and very high temperature (B)</p> Signup and view all the answers

Which combination indicates a gas that expands isothermally and reversibly?

<p>Constant temperature, increasing volume (B)</p> Signup and view all the answers

What is the correct pattern of oxidation states from Boron to Thallium?

<p>Oxidation states increase to Tl and then decrease (D)</p> Signup and view all the answers

Which of the following statements correctly describes the change in equilibrium when the pressure is increased by reducing the volume of a gas container?

<p>Concentration of all components at equilibrium will change. (C)</p> Signup and view all the answers

Calculate $ riangle U$, $w$, and $q$ for the isothermal expansion of 0.75 mol of ideal gas from 15 L to 25 L at 27°C.

<p>w is negative, q is positive (B)</p> Signup and view all the answers

Which equation was proposed by de Broglie related to wave-particle duality?

<p>$2\pi r = n\lambda$ (D)</p> Signup and view all the answers

Which of the following compounds has a zero dipole moment?

<p>CO2 (B)</p> Signup and view all the answers

Which statement regarding the first ionization energies of Na, Mg, Al, and Si is correct?

<p>Na &lt; Mg &lt; Al &lt; Si (C)</p> Signup and view all the answers

In which of the following processes is entropy ($\Delta S$) expected to be positive?

<p>Dissolution of salt in water (B)</p> Signup and view all the answers

Which statement is NOT correct regarding Gibbs free energy ($\Delta G$) and spontaneous reactions?

<p>$\Delta G$ is positive for a spontaneous reaction. (C)</p> Signup and view all the answers

What is the total number of orbitals associated with the third shell in an atom?

<p>9 (B)</p> Signup and view all the answers

Flashcards

Electronic energy of hydrogen atom

The energy of an electron in a hydrogen atom depends only on the principal quantum number (n), and not on the azimuthal quantum number (l) or magnetic quantum number (m).

Entropy change in reversible adiabatic process

The entropy change in a reversible adiabatic process is zero.

Brønsted base

A substance that can accept a proton (H+).

Ideal gas

A gas that follows Boyle's Law, Charles' Law, and Avogadro's Law.

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Conditions for ideal gas behavior

Real gases behave ideally at low pressure and high temperature.

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First ionization enthalpy

The energy required to remove the outermost electron from an atom in its gaseous state.

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Disproportionation reaction

A reaction in which a single substance is simultaneously oxidized and reduced.

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Atomic radius trend (B to Tl, C to Pb)

Atomic radii generally increase down a group and decrease across a period.

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Brønsted acid/base

A substance that can either donate or accept a proton (H+).

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Conjugate acid

The species formed when a base accepts a proton (H+).

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Conjugate base

The species formed when an acid donates a proton (H+).

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Compressibility factor (Z)

A measure of how much a gas deviates from ideal gas behavior.

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Oxidation number

A hypothetical charge an atom would have if all bonds were ionic.

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Le Chatelier's principle

If a stress is applied to a system in equilibrium, the system will shift to relieve the stress.

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Chemical Formulas

Represent the elements and number of atoms in a compound.

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De Broglie equation

The equation relating the wavelength (λ) of a particle to its momentum (p) and Planck's constant (h)

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Ionization potential of elements

The amount of energy required to remove an electron from an atom or ion in its gaseous state

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Dipole moment

A measure of the polarity of a molecule, indicating the separation of positive and negative charges

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Gibbs Free Energy, â–³G

A thermodynamic potential that measures the maximum reversible work that may be performed by a thermodynamic system at constant temperature and pressure

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Effect of pressure on equilibrium

Increasing pressure on a gaseous reaction at equilibrium results in the shift in the reaction towards the side with fewer moles of gaseous products.

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Number of orbitals in the 3rd shell

There are 9 orbitals associated with the third energy shell in an atom

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â–³S = +ve processes

Processes with a positive entropy change (â–³S) are those in which disorder increases

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Difference between Molality and Molarity

Molality is the number of moles of solute per kg of solvent,Molarity is the number of moles of solute per liter of solution

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Study Notes

Arjuna JEE (2025) Board Pattern Test - 02

  • Date: 10/11/2024
  • Maximum Marks: 220
  • Duration: 3 hours per subject

Topics Covered

  • Physics: Units and Measurements, Mathematical Tools, Motion in a Straight Line, Motion in a Plane, Laws of Motion, Circular Motion, Work, Energy and Power, Centre of Mass, System of Particles
  • Chemistry: Atomic Structure, Mole Concept, States of Matter, Thermodynamics, Chemical Equilibrium, Ionic Equilibrium, Redox Reactions, Periodic Table, and Classification, Chemical Bonding and Molecular Structure, P-block elements (group 13 and 14).
  • Mathematics: Basic Mathematics, Sets, Relations, Functions, Trigonometric Functions, Trigonometric Equations, Quadratic Equations, Complex Numbers, Sequences and Series, Permutations and Combinations, Binomial Theorem, Straight Lines, Circles.

General Instructions

  • Fill in all details on the test booklet.
  • Total questions: 104
  • The test consists of 5 sections for each subject: Physics - 5 Sections, Chemistry - 4 Sections, Mathematics - 5 Sections.
  • No textual materials or electronic devices allowed inside the examination room except the test booklet.
  • Return the answer sheet to the Invigilator on completion of the test. You are allowed to take the test booklet.
  • Do not fold or make any stray marks on the OMR answer sheet. 
  • Use a dark blue or black ballpoint pen to fill in the bubbles on the OMR answer sheet, completely. Avoid using pencils or white-out.
  • Only write answers in the specified areas on the OMR answer sheet.

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