Chemistry Quiz: Electron Configuration & Reactions

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Questions and Answers

In an atom, what is the maximum number of electrons that can possess a spin quantum number of +1/2 and a principal quantum number n = 4?

  • 25
  • 16 (correct)
  • 9
  • 4

Given the standard reduction potentials: $2H^+ + 2e^- + \frac{1}{2}O_2 \rightarrow H_2O$, $E^0 = +1.23V$ and $Fe^{2+} + 2e^- \rightarrow Fe(s)$, $E^0 = -0.44V$, what is the magnitude of $\Delta G^\circ$ (in kJ) for the reaction $Fe(s) + 2H^+ + \frac{1}{2}O_2 \rightarrow Fe^{2+} + H_2O$?

  • 422 KJ
  • 322 KJ (correct)
  • 344 KJ
  • 244 KJ

Which of the following correctly describes the order of polarizing power of the given cations?

  • $K^+ < Mg^{2+} < Ca^{2+} < Be^{2+}$
  • $Be^{2+} < Mg^{2+} < Ca^{2+} < K^+$
  • $Ca^{2+} < K^+ < Mg^{2+} < Be^{2+}$
  • $K^+ < Ca^{2+} < Mg^{2+} < Be^{2+}$ (correct)

Which of the following is an incorrect statement about water and hydronium ion?

<p>The hybridization of the oxygen atom changes when H2O becomes H3O+ (A)</p> Signup and view all the answers

According to the de Broglie relation, how does the wavelength of a particle relate to its momentum?

<p>Wavelength is inversely proportional to momentum. (B)</p> Signup and view all the answers

If a charged particle accelerates under a constant electric field $E_0$, how does its velocity change with time?

<p>Velocity increases linearly with time in the direction perpendicular to the initial velocity. (C)</p> Signup and view all the answers

What is the expected most stable oxidation state for an element with atomic number 113?

<p>+1 (A)</p> Signup and view all the answers

Which statement correctly relates the ionization energies of Calcium (Ca) and Potassium (K)?

<p>The 2nd ionization energy of Ca is greater than the 2nd ionization energy of K. (D)</p> Signup and view all the answers

When a charged particle's velocity changes due to an external electric field, what happens to its de Broglie wavelength?

<p>The wavelength changes in a way that is inversely proportional to the square root of the velocity components. (C)</p> Signup and view all the answers

Given the initial wavelength λ₀ of a charged particle, how does the wavelength change as the particle accelerates in an electric field?

<p>The new wavelength becomes λ = $\frac{λ_0}{\sqrt{1 + ((\frac{eE_0}{mv_0^2})t)^2}}$ (B)</p> Signup and view all the answers

Which of the following is the correct pairing of species with its associated geometry for H2O and H3O +?

<p>H2O - Bent, H3O+ - Trigonal pyramidal (D)</p> Signup and view all the answers

What is the primary factor influencing the different polarizing power among isoelectronic species?

<p>Nuclear charge of the cation (B)</p> Signup and view all the answers

In the formula for the time-dependent wavelength, what does the term $\frac{eE_0}{m}$ signify?

<p>It is the acceleration of the particle due to the electric field. (D)</p> Signup and view all the answers

What physical quantity does the symbol 'h' represent in the de Broglie relation?

<p>Planck's constant. (D)</p> Signup and view all the answers

If the time (t) approaches 0, what does the time-dependent de Broglie wavelength approach?

<p>The wavelength approaches its initial value, $\lambda_0$. (B)</p> Signup and view all the answers

In the context of the time-dependent de Broglie wavelength, what is the significance of $v_0$?

<p>It is the initial velocity of the charged particle. (C)</p> Signup and view all the answers

What is the value of E1 derived from the given equations?

<p>-54.4 eV (A)</p> Signup and view all the answers

What is the maximum current (imax) calculated from the given equation?

<p>6 Amp (D)</p> Signup and view all the answers

Which value of n was found in the equations provided?

<p>5 (D)</p> Signup and view all the answers

What equation represents the rate of change of current i?

<p>i = 3at - 2bt (D)</p> Signup and view all the answers

What is the relationship between E1 and Z based on the derived equations?

<p>E1 is negatively correlated with Z. (C)</p> Signup and view all the answers

What is the expression for the magnetic force F acting on a current-carrying conductor in a magnetic field?

<p>F = i ∫ dl × B (C)</p> Signup and view all the answers

According to the right-hand palm rule, what does the direction of the force F depend on?

<p>The direction of current i and magnetic field B (C)</p> Signup and view all the answers

Which equation represents the relationship between escape velocity V e, gravitational acceleration g, and radius R of a celestial body?

<p>Ve = √(2gR) (B)</p> Signup and view all the answers

What does the expression g = g p - Rω² represent?

<p>Net gravitational acceleration including rotational effects (D)</p> Signup and view all the answers

In the context of the equations provided, what does Rω² refer to?

<p>The effect of Earth's rotation on gravitational acceleration (A)</p> Signup and view all the answers

From the derived expressions, what is the relationship between escape velocity Ve and regular velocity V?

<p>Ve = 2V (A)</p> Signup and view all the answers

What principle is illustrated by using the right-hand palm rule?

<p>The interaction between current and magnetic fields (C)</p> Signup and view all the answers

If the radius R is increased while keeping gravitational acceleration g constant, what happens to the escape velocity Ve?

<p>Ve increases (A)</p> Signup and view all the answers

A gas undergoes a process where its initial pressure P1 is $10^5$ Pa, initial volume V1, and final pressure P3 is $4 \times 10^5$ Pa, with final volume V2. If $V2 - V1 = 10$ liters, and assuming the change in pressure throughout was linear with change in volume, what is the work done during this process?

<p>750 J (D)</p> Signup and view all the answers

A block of mass 'm' is acted upon by a horizontal force $F = a - bx$, where x is the position of the block. The coefficient of friction between the block and the surface is μ. If the net work done on the block is zero, what distance did the block travel?

<p>$(a - \mu mg)/2b$ (C)</p> Signup and view all the answers

A hydrogen-like atom has energy in its n-th excited state described as $E_n = -\frac{13.6}{n^2}Z^2 $ eV. If the most energetic photons emitted during a transition to the ground state have an energy of 52.224 eV, and the least energetic have an energy of 1.224 eV, what is the atomic number of the atom, Z?

<p>3 (C)</p> Signup and view all the answers

The magnetic flux through a metal ring varies with time as $\phi = 3(at^3 - bt^2)$ Wb, where $a=2 s^{-3}$ and $b=6 s^{-2}$. The ring has a resistance of 3 Ω. What is the absolute maximum magnitude of the induced current in this ring during the interval from t = 0 to t = 2 s?

<p>24 A (B)</p> Signup and view all the answers

In a Young's double-slit experiment, two slits separated by 1.2 mm are illuminated with monochromatic light of wavelength 6000 Ã…. The interference pattern is observed on a screen 1 m away from the slits. Approximately how many bright fringes are formed over a 1 cm width on the screen?

<p>17 (C)</p> Signup and view all the answers

Given $P_1 = 10^5$ Pa, $P_0 = 3 \times 10^5$ Pa, $P_3 = 4 \times 10^5$ Pa, and $V_2-V_1=10L$. Assume any change in pressure and volume between the points given above, is linear. What is the sum of the work done during changes from $(P_1, V_1)$ to $(P_0, V_2)$ and from $(P_0, V_2)$ to $(P_3, V_2)$?

<p>2500 j (A)</p> Signup and view all the answers

A block of mass m initially at x=0 is subjected to a force $F = a-bx$. The coefficient of friction between the block and the surface is µ. How far has the block travelled when the net work done on it is zero?

<p>$\frac{a-µmg}{2b}$ (B)</p> Signup and view all the answers

The magnetic flux through a ring changes with time as given by $ϕ = 3(at^3 - bt^2)$, where $a = 2 s^{-3}$ and $b = 6 s^{-2}$. If the ring has a resistance of 3 Ω, then find the maximum current produced in the circuit during the interval from t=0 to t=2s.

<p>24 A (B)</p> Signup and view all the answers

What is the enthalpy change for the formation reaction of C4H4O(g)?

<p>4051 kJ/mol (D)</p> Signup and view all the answers

Which reactants are involved in the formation of C4H4O(g)?

<p>4C(s), 2H2(g), and O2(g) (D)</p> Signup and view all the answers

How is the total enthalpy of products calculated according to the formation reaction?

<p>By summing the enthalpies of both reactants and products (A)</p> Signup and view all the answers

What is the significance of the number 62 in the enthalpy calculation?

<p>It is an enthalpy of atomization value (A)</p> Signup and view all the answers

What does the notation K2Cr2O7/H indicate in the reaction provided?

<p>An oxidizing agent (D)</p> Signup and view all the answers

How many total products are generated in the sequence starting from NaCl?

<p>5 products (A)</p> Signup and view all the answers

Which product is formed directly from the reaction with CrO2Cl2?

<p>Na2CrO4 (C)</p> Signup and view all the answers

What does the term 'total = 18' refer to in the reaction sequence?

<p>Total oxidation state of chromium (D)</p> Signup and view all the answers

Flashcards

Work Done

The work done by a force is the product of the force and the displacement of the object in the direction of the force.

Friction

Friction is a force that opposes motion between two surfaces in contact. It always acts in the opposite direction to the motion or intended motion.

Net Work

The net work done on an object is the sum of all the work done by all the forces acting on the object.

Energy Levels of Hydrogen-Like Atoms

The energy of an electron in a hydrogen-like atom is quantized, meaning it can only exist at specific discrete energy levels.

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Photon Emission

The emission of a photon occurs when an electron transitions from a higher energy level to a lower energy level within an atom.

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Photon Energy and Frequency

The energy of a photon is directly proportional to its frequency. Higher frequency photons have more energy.

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Electromagnetic Induction

Electromagnetic induction is the process of generating an electromotive force (EMF) in a conductor by changing the magnetic flux through the conductor.

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Young's Double-Slit Experiment and Interference

In Young's double-slit experiment, interference patterns are created due to the superposition of waves emanating from two coherent sources. Bright fringes correspond to constructive interference, where the waves reinforce each other.

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Spin Quantum Number (ms)

The spin quantum number (ms) describes the intrinsic angular momentum of an electron, representing its spin. It has two possible values: +1/2 and -1/2, indicating the direction of spin.

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Principal Quantum Number (n)

The principal quantum number (n) describes the electron's energy level and its average distance from the nucleus. Higher n values indicate higher energy levels and greater distance from the nucleus.

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Maximum Electrons in an Energy Level

The maximum number of electrons that can occupy a given energy level (n) is determined by the formula 2n². So for n=4, the maximum is 2*(4)² = 32 electrons.

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Standard Electrode Potential (E°)

The standard electrode potential (E°) quantifies the tendency of a half-reaction to occur at a standard electrode. It tells us whether a species is a strong oxidant or reductant.

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Gibbs Free Energy Change (ΔG°)

The Gibbs free energy change (ΔG°) is a thermodynamic quantity that represents the maximum non-expansion work done by a system at constant temperature and pressure. It determines the spontaneity of a reaction. A negative ΔG° indicates a spontaneous reaction.

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Net Process

The net process is the combined reaction of two half-reactions. The overall cell potential (E°cell) is the sum of the individual E° values of the half-reactions.

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Polarizing Power of Cations

The polarizing power of a cation is its ability to distort the electron cloud of an anion. Smaller and highly charged cations have greater polarizing power.

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Geometry Change

The geometry around a central atom can change when it undergoes a chemical reaction. This is due to changes in bond angles and electron arrangement.

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de Broglie Wavelength of Charged Particles

The de Broglie wavelength (λ) of a charged particle is related to its momentum (mv) by the equation λ = h/mv, where h is Planck's constant. This equation highlights the wave-particle duality of matter, meaning that particles can exhibit wave-like properties.

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Velocity of Charged Particle in Electric Field

The velocity of a charged particle in a uniform electric field can be described by the equation v = v0 i + (eE0/m)t j. This means that the velocity has two components: an initial velocity in the x-direction (v0 i) and an acceleration in the y-direction due to the electric field (eE0/m)t j. The magnitude of the velocity is √(v0^2 + (eE0/m)^2 * t^2).

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De Broglie Wavelength in Electric Field

The de Broglie wavelength of a charged particle in a uniform electric field can be expressed as λ = h / (mv0√(1 + (eE0/mv0)^2 * t^2)). This equation considers the particle's initial velocity (v0) and the acceleration due to the electric field (eE0/m).

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De Broglie Wavelength Change over Time

The de Broglie wavelength of a charged particle at time t is represented as λ = (h/mv0)√(1 + (eE0/mv0)^2 * t^2), where λ0 is the initial de Broglie wavelength (h/mv0). This formula shows how the wavelength changes over time due to the electric field's acceleration.

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Time Dependence of de Broglie Wavelength

The de Broglie wavelength of a charged particle moving in a uniform electric field is time-dependent, meaning it changes as the particle accelerates due to the field's influence.

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Enthalpy of Formation (ΔHf°)

The enthalpy change when one mole of a compound is formed from its elements in their standard states.

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Enthalpy of Atomisation

The energy required to break one mole of a substance into its constituent atoms in their gaseous state.

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Total Enthalpy of Atomisation

The sum of the enthalpies of atomisation of each atom in a molecule.

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Formation Reaction

A type of chemical reaction where a compound is formed from its elements in their standard states.

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Oxidation State

The oxidation state of an element in a compound represents its apparent charge. It helps determine the distribution of electrons in a molecule.

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Reduction

A chemical reaction where a substance gains electrons, decreasing its oxidation state.

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Enthalpy Change (ΔH)

The enthalpy change that occurs when a chemical reaction takes place at constant pressure.

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Standard Enthalpy of Formation

A measure of the stability or reactivity of a compound relative to its constituent elements.

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Force on a Current-carrying Conductor in a Magnetic Field

The force experienced by a current-carrying conductor placed in a magnetic field is directly proportional to the current, the length of the conductor, and the strength of the magnetic field. The direction of the force is given by the cross product of the current and the magnetic field.

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Force on a Charged Particle in a Magnetic Field

The force acting on a charged particle moving in a magnetic field is proportional to the charge, the velocity of the particle, and the strength of the magnetic field. The direction of the force is perpendicular to both the velocity and magnetic field, as determined by the right-hand rule.

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Magnetic Dipole Moment of a Current Loop

The magnetic force produced by a current loop carrying current 'i' is equivalent to the force generated by a magnetic dipole moment m = iA, where A is the area of the loop.

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Force Between Two Parallel Conductors

The force experienced by two parallel conductors carrying current is proportional to product of the currents and inversely proportional to the distance between them. The forces are attractive if the currents are in the same direction and repulsive if they are in opposite directions.

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Acceleration due to Gravity (g)

The acceleration due to gravity on the surface of the Earth. The value of g varies slightly depending on location and altitude.

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Escape Velocity

The minimum velocity an object needs to escape the gravitational pull of a planet or star. It is dependent on the mass of the celestial body and the distance from its center.

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Angular Velocity (ω)

The angular velocity of an object rotating around a fixed axis. It represents the rate of change of the angular position with time. It is measured in radians per second.

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Tangential Velocity (V)

The speed of an object moving in a circular path. It is determined by the radius of the circular path and the angular velocity. It is measured in meters per second or other units of speed.

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Photon Emission in Hydrogen-Like Atoms

The energy liberated when an electron transitions from a higher energy level (n) to a lower energy level (n-1) is given by the difference in energy between the two levels. This energy can be released as a photon with a specific energy and frequency, resulting in the emission spectrum of the atom.

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What is total current?

The total current flowing in a circuit is defined as the rate of change of the magnetic flux linked with the circuit. It follows the relationship: i = -1/R * d(phi)/dt, where i represents the current, R is the resistance, and d(phi)/dt is the rate of change of magnetic flux.

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How to find maximum current?

The maximum current in a circuit can be found by taking the derivative of the current equation and setting it equal to zero, then solving for the time. This is because the maximum occurs at a point where the rate of change of current is zero.

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