Thermodynamics Basics Quiz

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Questions and Answers

What is the definition of enthalpy (H)?

  • H = q - w
  • H = q + w
  • H = U - PV
  • H = U + PV (correct)

Under what conditions is the change in enthalpy ($\Delta$H) of a system equal to the heat (q) transferred?

  • At constant pressure and no non-expansion work (correct)
  • At constant temperature and no non-expansion work
  • At constant internal energy and no work
  • At constant volume and no work

Which of the following is NOT a state function?

  • Enthalpy (H)
  • Heat (q) (correct)
  • Internal energy (U)
  • Pressure (P)

If a system absorbs energy as heat at constant pressure(endothermic), how does the enthalpy of the system change?

<p>The enthalpy of the system increases (A)</p> Signup and view all the answers

If a system releases heat at constant pressure (exothermic), how does the enthalpy of the system change?

<p>The enthalpy of the system decreases (C)</p> Signup and view all the answers

What is the primary focus of study in thermodynamics?

<p>The transformation and transfer of energy. (D)</p> Signup and view all the answers

A reaction is taking place in a flask immersed in a water bath. According to thermodynamic definitions, what constitutes the 'system'?

<p>The reaction mixture within the flask. (B)</p> Signup and view all the answers

A closed system is best described by which of the following?

<p>It allows the exchange of energy but not mass with the surroundings. (D)</p> Signup and view all the answers

What is the fundamental definition of work in thermodynamics?

<p>A process of achieving motion against an opposing force. (C)</p> Signup and view all the answers

What unit is work measured in?

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

What is directly defined as the capacity of a system to do work?

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

What distinguishes expansion work from nonexpansion work?

<p>Expansion work involves changes in volume, while nonexpansion work does not. (B)</p> Signup and view all the answers

What term is used to describe the total energy stored within a thermodynamic system?

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

If 13.2 kg of $C_3H_8$ is combusted, and the combustion of 1 mol of $C_3H_8$ releases -2044 kJ, what is the total heat released?

<p>-6.12 x $10^5$ kJ (C)</p> Signup and view all the answers

A reaction is carried out in a calorimeter using nested foam cups. When using this type of calorimeter, what condition is assumed for the reaction?

<p>Constant pressure (A)</p> Signup and view all the answers

In a calorimetry experiment, the heat of reaction ($q_{reaction}$) is related to the heat of the solution ($q_{solution}$) how?

<p>$q_{reaction} = -q_{solution}$ (B)</p> Signup and view all the answers

To find the enthalpy change of reaction per mole ($ΔH_{reaction}/mol$), what value must the heat of reaction be divided by?

<p>The number of moles of the limiting reactant (B)</p> Signup and view all the answers

During a reaction, 0.158 g of Mg reacts with excess HCl, the reaction causes 100.0 mL of solution to increase in temperature from 25.6°C to 32.8°C. Which of the values are needed to calculate the $ΔH_{rxn}$ of the Mg?

<p>The mass of Mg, the volume of solution, and initial and final temperatures (B)</p> Signup and view all the answers

What does 'q' represent in the equation $q = m \cdot C_s \cdot \Delta T$?

<p>The heat transferred. (B)</p> Signup and view all the answers

Given the initial temperature (T1) is -8.0°C and the final temperature (T2) is 37.0°C, what is the change in temperature (ΔT)?

<p>45.0°C (A)</p> Signup and view all the answers

If a calorimeter has a constant ($C_{cal}$) of 100 J/°C and the temperature increases by 5°C, what quantity of heat was absorbed by the calorimeter?

<p>500 J (C)</p> Signup and view all the answers

What does the first law of thermodynamics state regarding the change in internal energy (ΔU) of a closed system?

<p>ΔU is the net result of both heat and work transfers. (C)</p> Signup and view all the answers

What is the purpose of the outer polystyrene cup in a calorimeter?

<p>To provide extra insulation. (D)</p> Signup and view all the answers

A 2.0 g sample of a metal with specific heat capacity of $0.5 \frac{J}{g°C}$ is heated from 20 °C to 30 °C. Find the amount of heat absorbed.

<p>10 J (C)</p> Signup and view all the answers

What does it mean when a system is described as 'isolated' according to the first law of thermodynamics?

<p>The system cannot exchange either heat or work with its surroundings. (D)</p> Signup and view all the answers

If a reaction inside a calorimeter releases heat ($q_{reaction}$), how does this relate to the heat absorbed by the calorimeter ($q_{cal}$)?

<p>$q_{reaction} = -q_{cal}$ (B)</p> Signup and view all the answers

What does the Born-Haber cycle primarily determine?

<p>The lattice energy of an ionic substance. (D)</p> Signup and view all the answers

If a reaction's enthalpy change at one temperature is known and the enthalpy change is needed at another temperature, what additional information is needed?

<p>The heat capacity at constant pressure of reactants and products. (B)</p> Signup and view all the answers

What is the approximate heat given off per gram of aluminum (Al) when reacted with $Fe_2O_3$?

<p>-15.4 kJ/g (C)</p> Signup and view all the answers

In the context of the Born-Haber cycle, what does the term 'metal atoms (g) → cations (g)' correspond to?

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

If given $\Delta H^0(T_1)$ and you want to calculate $\Delta H^0(T_2)$, what is the formula?

<p>$\Delta H^0(T_2) = \Delta H^0(T_1) + (T_2 - T_1) \Delta C_p$ (A)</p> Signup and view all the answers

What is $\Delta C_p$ in the equation for temperature dependence of enthalpy?

<p>The difference in heat capacities between products and reactants. (D)</p> Signup and view all the answers

What is the importance of the negative sign when determining the heat given off per gram of Al?

<p>It indicates that the reaction is exothermic. (D)</p> Signup and view all the answers

What must be remembered when calculating the ionization energy of a metal using the Born-Haber cycle?

<p>The sum of all ionization energies required to reach the desired cation must be considered. (B)</p> Signup and view all the answers

What does the third law of thermodynamics state regarding the entropy of perfect crystals?

<p>The entropy of a perfect crystal approaches zero as the absolute temperature approaches zero. (A)</p> Signup and view all the answers

How is the change in entropy (ΔS) for heating a substance at constant pressure calculated?

<p>ΔS = ∫(T1 to T2) C_p dT / T (D)</p> Signup and view all the answers

What is the correct expression for the entropy of vaporization (ΔS_vap)?

<p>ΔS_vap = ΔH_vap / T_b (A)</p> Signup and view all the answers

Why do liquids have higher molar entropies than solids?

<p>The molecules in a liquid have greater freedom of movement than in a solid. (B)</p> Signup and view all the answers

How does the entropy of a gas compare to that of a liquid and solid?

<p>Gases have higher molar entropies than liquids and solids. (A)</p> Signup and view all the answers

Given the formula ΔS_fus = ΔH_fus/T_f, what does T_f represent?

<p>The fusion temperature of the substance. (A)</p> Signup and view all the answers

When does entropy increase according to the text?

<p>When a solid is converted to a liquid. (D)</p> Signup and view all the answers

What must be included when calculating the total entropy change from T=0 to a temperature of interest when phase transitions occur?

<p>Both heat capacity integration and the entropy of transition. (A)</p> Signup and view all the answers

Flashcards

System (Thermodynamics)

The area we focus on during a thermodynamic study, like a reaction mixture or a flask of gas.

Surroundings (Thermodynamics)

The area outside the system, which can interact with the system. Think of everything else in the universe.

Open System

A system that can exchange both mass and energy with its surroundings, freely flowing in and out.

Closed System

A system that only allows energy exchange with its surroundings, like heat transfer.

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Isolated System

A system that is completely isolated from its surroundings, no exchange of mass or energy.

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Work (Thermodynamics)

The force overcome multiplied by the distance moved. It's the process of achieving motion against resistance.

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Internal Energy (U)

The total energy stored within a system, representing its capacity to do work.

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Non-expansion Work

Any work done by a system that doesn't involve a change in volume. Examples include electrical work by a battery.

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Enthalpy (H)

A thermodynamic state function representing the total energy of a system at constant pressure. It includes internal energy (U), pressure (P), and volume (V).

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Enthalpy change (ΔH)

The change in enthalpy of a system at constant pressure is equal to the heat absorbed or released by the system.

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Endothermic process

A process that absorbs heat from the surroundings, causing the enthalpy of the system to increase.

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Exothermic process

A process that releases heat to the surroundings, causing the enthalpy of the system to decrease.

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Enthalpy of reaction (ΔHrxn)

The difference between the enthalpy of the products and the enthalpy of the reactants in a chemical reaction.

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What is 'q' in the equation q = mCsΔT?

The amount of energy transferred as heat, measured in Joules (J).

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What does 'Cs' stand for in the equation q = mCsΔT?

The specific heat capacity of a substance, measured in J/g°C. It represents the amount of heat energy required to raise the temperature of 1 gram of the substance by 1 degree Celsius.

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What does 'ΔT' represent in the equation q = mCsΔT?

The change in temperature, measured in degrees Celsius (°C).

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What does 'm' represent in the equation q = mCsΔT?

The mass of the substance, measured in grams (g).

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What is a calorimeter?

A device used to measure the amount of heat transferred during a process by monitoring the change in temperature.

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What is the calorimeter constant (Ccal)?

The amount of heat required to raise the temperature of the calorimeter by 1 degree Celsius.

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What is the First Law of Thermodynamics?

The change in internal energy of a closed system is the sum of heat (q) and work (w) transferred.

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What is an isolated system?

A system that does not exchange heat or matter with its surroundings.

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Enthalpy Change (â–³H)

The heat absorbed or released during a chemical reaction at constant pressure. It's symbolized as â–³H.

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Calorimetry

A technique used to measure the heat change in a reaction by monitoring the temperature change of a solution. It involves a calorimeter, usually a set of nested cups.

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Specific Heat Capacity (Cs)

The heat capacity of a specific mass of a substance.

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Enthalpy Change per Mole

The heat absorbed or released when one mole of a substance undergoes a specific chemical reaction.

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Constant Pressure Calorimetry

A convenient and reliable technique to determine enthalpy changes of reactions involving solutions, relying on the simple temperature change measurement and the specific heat capacity of the solution.

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Born-Haber Cycle

A method used to calculate the lattice energy of an ionic substance by using other reactions. Hess's Law is used to add up the enthalpy changes of different processes.

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Standard Enthalpy of Formation (ΔHf°)

The enthalpy change that occurs when 1 mole of an ionic compound is formed from its elements in their standard states.

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Lattice Energy

The energy released when 1 mole of an ionic compound is formed from its gaseous ions. It represents the strength of the electrostatic interactions in the crystal lattice.

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Standard Enthalpy Change (ΔH°)

The enthalpy change of a reaction at 298 K (25°C)

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Standard Enthalpy of Combustion (ΔHc°)

The energy change that occurs when one mole of a substance is burned completely in excess oxygen.

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Enthalpy of Vaporization (ΔHv°)

The enthalpy change that occurs when one mole of a substance changes from a liquid to a gas.

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Enthalpy of Fusion (ΔHf°)

The enthalpy change that occurs when one mole of a substance changes from a solid to a liquid.

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Variation of Reaction Enthalpy with Temperature

The increase in enthalpy of a substance when the temperature is raised. It depends on the heat capacity of the substance.

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Third Law of Thermodynamics

The entropy of a perfect crystal at absolute zero (0 Kelvin) is zero.

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Entropy Change during Phase Transition

A change in entropy during a phase transition is calculated by dividing the enthalpy of transition by the transition temperature.

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Calculating Entropy at a Specific Temperature

The entropy of a substance at a specific temperature (T) can be calculated by integrating the heat capacity under constant pressure (Cp) over the temperature range from absolute zero (0 Kelvin) to T, assuming no phase transitions occur.

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Standard Molar Entropy

The standard molar entropy of a substance at 25°C is a specific value that represents the entropy of one mole of that substance under standard conditions.

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Entropy of Liquids vs. Solids

Liquids have higher molar entropies than solids because molecules in liquids have greater freedom of movement.

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Entropy of Gases vs. Liquids and Solids

Gases have higher molar entropies than liquids and solids because gas molecules have much larger volumes and exhibit near-perfect random motion.

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Entropy Increase from Solid to Liquid or Solution

The formation of liquids or solutions from solids generally leads to an increase in entropy due to greater molecular disorder.

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Entropy Change During Dissolution

The process of dissolving a solid in a liquid, called dissolution, results in an increase in entropy due to the increased molecular freedom of the solute in the solvent.

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Study Notes

Thermodynamics

  • Thermodynamics studies how energy is transformed from one form to another and transferred from one place to another.
  • A system is the region of interest (e.g., a flask of gas, a reaction mixture).
  • The surroundings are everything else in the universe surrounding the system.

Systems, States, and Energy

  • A system is the material or process being studied.
  • The surroundings comprise everything else in the universe.
  • Systems can be open (exchange mass and energy), closed (exchange energy only), or isolated (no exchange).

Work and Energy

  • Work is the process of achieving motion against an opposing force.
  • Work = force x distance moved.
  • The unit for work is the joule (J).
  • Energy is the capacity to do work (and ultimately, lift a weight).
  • A system can perform expansion work (volume change) or nonexpansion work (e.g., a battery).

Work and Energy (internal energy)

  • Internal energy (U) is the total energy stored in a system.
  • ΔU = Ufinal - Uinitial.
  • AU represents the change in internal energy.
  • Energy transfer to a system as work increases internal energy (w is +); energy leaving the system as work decreases internal energy (w is -).
  • The energy transferred as work (w) is denoted by w.
  • When a system expands, w = -P ext ΔV, where P ext is the external pressure.
  • If a system expands, w is negative.

Heat

  • Heat is the exchange of thermal energy between a system and its surroundings due to a temperature difference.
  • Heat flows from higher temperature to lower temperature.
  • Thermal equilibrium is reached when both objects have the same temperature.
  • The energy transferred as heat is denoted by q.
  • Heat capacity (C) is a measure of how resistant a system is to changes in temperature.

Heat: Units

  • The SI unit of energy is the joule (J).
  • Calorie (cal) is also used, with 1 cal = 4.184 J exactly.
  • Nutritional calorie (Cal) equals 1000 calories (kcal).

Heat exchange

  • Heat transfer into a system increases internal energy (q is positive); heat transfer out of a system decreases internal energy (q is negative).
  • An exothermic process releases heat, and an endothermic process absorbs heat.

Adiabatic and Diathermic Walls

  • Adiabatic walls prevent energy transfer as heat.
  • Diathermic walls allow energy transfer as heat.

Heat capacity

  • Heat capacity is the amount of heat required to raise the temperature of a substance by a degree.
  • Specific heat capacity is the amount of heat required to raise the temperature of one gram of a substance by 1 °C.
  • Molar heat capacity is the amount of heat required to raise the temperature of one mole of a substance by 1 °C.

Specific Heat Capacity and Molar Heat Capacity

  • Specific heat capacity (C): amount of heat to raise 1 g of a substance by 1°C.
  • Units: J/g°C.
  • Molar heat capacity (C m ): amount of heat to raise 1 mol of a substance by 1°C.
  • Units: J/mol°C

Enthalpy

  • Enthalpy (H) is a state function used for constant pressure processes.
  • H = U + PV
  • At constant pressure, the change in enthalpy (ΔH) is equal to the heat transferred (q).

The First Law

  • The first law of thermodynamics states that the total energy of an isolated system remains constant.
  • ΔU = q + w.

State Functions

  • State functions depend only on the current state of a system, not on how that state was reached.
  • Internal energy (U) and enthalpy (H) are state functions.

Work done by a system

  • The work done by a system is not a state function because it depends on the path taken.

Heat is not a state function

  • Heat is not a state function because it depends on the path taken.

Taking different paths

  • The change in internal energy (∆U) for an isothermal reversible expansion of an ideal gas is zero.

Enthalpy of Physical Changes

  • The enthalpy change for a phase change (e.g., vaporization, fusion) is equal to the heat supplied at constant pressure.
  • Enthalpy of vaporization (ΔH vap ) and enthalpy of fusion (ΔH fus ) are positive values for processes that absorb heat.
  • Enthalpy of condensation and freezing are negative values for processes that release heat.

Heating Curves

  • A heating curve is a graph of temperature versus heat added.
  • During phase changes, temperature remains constant.

The Heat Capacity of Materials

  • Specific heat capacity measures how much heat energy raises the temperature of a substance.
  • Materials with high heat capacity require more energy to raise temperature.

Heat of reaction

  • Enthalpy of reaction is the heat absorbed or released in a reaction.

Enthalpy of Reaction

  • The enthalpy change in a chemical reaction is an extensive property, meaning it depends on the amount of reactants.

Thermochemical Equations

  • Stoichiometric coefficients in thermochemical equations indicate the number of moles reacting to give the indicated enthalpy change.

Measuring ΔH Calorimetry at Constant Pressure

  • Calorimetry is used to physically measure the heat released or absorbed in a reaction.
  • Constant pressure calorimetry (often a coffee-cup calorimeter) is used for reactions in aqueous solution.

Measuring heat

  • Heat transfer is measured with a calorimeter, recording the temperature change.

The Measurement of Heat

  • Heat transfer in calorimetry is proportional to the change in temperature of the calorimeter.

Bomb Calorimetry

  • Bomb calorimetry measures heat transfer at constant volume.
  • Internal energy (ΔU) change during a reaction is measured by measuring the temperature change.

Hess's Law

  • Hess's Law states that the enthalpy change for an overall reaction is the sum of the enthalpy changes for the individual steps.

Standard Enthalpies of Formation

  • By using the standard enthalpy of formation, we can calculate enthalpy change of any reaction.

Standard Enthalpy of Formation

  • The standard enthalpy of formation, ∆H°f, of a substance is the standard enthalpy change per mole of formula units for the formation of that substance from its elements in their most stable forms.

Calculating Standard Enthalpy Change using Standard Enthalpies of Formation

  • The change in standard enthalpy for a reaction is equal to the sum of the standard enthalpy of formations of the products minus the sum of the standard enthalpy of formations of the reactants.

The Born Haber Cycle

  • The Born-Haber cycle is a method to calculate the lattice energy of an ionic substance.
  • Hess's Law is used to add up the heats of other processes.

The Variation of Reaction Enthalpy with Temperature

  • The reaction enthalpy depends on temperature and might change sign if the temperature changes.
  • For exothermic and endothermic reactions

Entropy and Disorder:

  • Entropy is a measure of disorder and randomness.
  • Entropy of an isolated system increases in the course of any spontaneous change.
  • Entropy changes accompanying changes in physical state of solids, liquids, and gases.
  • The third law of thermodynamics states that the entropy of a perfect crystal at absolute zero (0 K) is zero

Standard Molar Entropies

  • Standard molar entropies are tabulated for substances.
  • Standard molar entropies help to calculate the entropy change of a reaction.

Global Changes in Entropy, Spontaneity

  • Calculating the total entropy change of the universe, considering both changes in the system and surroundings, establishes reaction spontaneity.
  • Spontaneity depends on both enthalpy and entropy changes.

Gibbs Free Energy

  • Gibbs free energy (G) is a state function to determine spontaneity and direction of a reaction at constant temperature and pressure.

  • AG = ΔH - TΔS.

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