Thermodynamics Quiz
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Questions and Answers

What does the symbol '∆Hsolid' represent in the context of the provided text?

  • The heat capacity of water at its freezing point.
  • The change in kinetic energy during a phase transition.
  • The specific heat of water in the solid phase.
  • The enthalpy of solidification of water. (correct)
  • Using the provided calculations, what is the total energy, in kilojoules, lost when 855 L of water freezes?

  • $-6.01 \times 10^4$ kJ
  • $-2.85 \times 10^4$ kJ
  • $-2.85 \times 10^5$ kJ (correct)
  • $4.745 \times 10^4$ kJ
  • Which formula is used to calculate the heat required for a temperature change?

  • $q = m c_s\Delta T$
  • $q = n\Delta H_{vap}$
  • $q = nC_P\Delta T$ (correct)
  • $q = n\Delta H_{fus}$
  • What is the primary difference between molar heat capacity (cP) and specific heat capacity (cs)?

    <p>cP is based on moles, while cs is based on grams. (D)</p> Signup and view all the answers

    According to the heating curve diagram, during a phase change, such as from a solid to a liquid, what happens to the temperature when heat is added?

    <p>Temperature remains constant. (D)</p> Signup and view all the answers

    Which of the following best describes potential energy?

    <p>The energy stored in an object based on its position. (A)</p> Signup and view all the answers

    According to the principles of energy, what is the primary difference between kinetic and potential energy?

    <p>Kinetic energy involves motion, while potential energy involves position. (A)</p> Signup and view all the answers

    The formula for kinetic energy is given by $KE = \frac{1}{2}mu^2$. What does 'u' represent in this equation?

    <p>Velocity of the object (D)</p> Signup and view all the answers

    The total energy of a system is the sum of what two types of energy?

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

    What does the law of conservation of energy state?

    <p>Energy can neither be created nor destroyed, but can be converted. (C)</p> Signup and view all the answers

    Which factor primarily influences the kinetic energy of molecules at the molecular level?

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

    In the context of systems and surroundings, which of the following describes a closed system?

    <p>It exchanges energy but not matter with its surroundings. (A)</p> Signup and view all the answers

    What indicates an exothermic reaction regarding heat flow?

    <p>Heat is released by the system to the surroundings (q &lt; 0). (A)</p> Signup and view all the answers

    What is the relationship between heat absorbed by a system and the kinetic energy of its molecules?

    <p>Absorbed heat increases the kinetic energy of the system's molecules. (A)</p> Signup and view all the answers

    Which of the following is a state function?

    <p>Internal energy of a system. (B)</p> Signup and view all the answers

    Which of the following is NOT a type of molecular motion?

    <p>Electromagnetic motion (A)</p> Signup and view all the answers

    A system performs work on its surroundings. Which of the following is true about the sign of work (w) in the equation $ΔE = q + w$?

    <p>The sign of work will be negative. (A)</p> Signup and view all the answers

    Which of these statements about the first law of thermodynamics is correct?

    <p>The energy gained by a system must equal the energy lost by the surroundings. (A)</p> Signup and view all the answers

    If a gas expands against a constant external pressure, which statement is true regarding the change of volume $ΔV$ and the work done?

    <p>$ΔV$ is positive, and work done by the system is negative. (A)</p> Signup and view all the answers

    A system has $ΔE = -100 J$ and $q = 50 J$. What is the work (w) done by or on the system, in joules?

    <p>-150 J (B)</p> Signup and view all the answers

    A gas expands from 10 L to 20 L against a constant external pressure of 2 atm. What is the work done in Joules?

    <p>-2026.4 J (C)</p> Signup and view all the answers

    When water freezes, is the change in enthalpy ($\Delta H_{sys}$) of the water positive or negative?

    <p>The change in enthalpy is negative, as energy is released by the water. (A)</p> Signup and view all the answers

    If 855 L of water freezes, what is the approximate value of the change in enthalpy ($\Delta H_{sys}$)? (Density of water is 1.00 g/mL, $\Delta H_{solid}$ = -6.01 kJ/mol)

    <p>$\approx$-2.85 x 10^5 kJ (B)</p> Signup and view all the answers

    In this scenario, what does $\Delta H_{sys}$ represent?

    <p>The amount of energy released or absorbed by the water during freezing. (B)</p> Signup and view all the answers

    If the process of freezing water is considered at a constant pressure, how does the change in enthalpy ($\Delta H_{sys}$) relate to the heat ($q_P$)?

    <p>$\Delta H_{sys} = q_P$ because only heat is involved. (C)</p> Signup and view all the answers

    What is the first step in calculating the change of enthalpy when freezing 855 L of water?

    <p>Convert the given volume of water into moles using its density and molar mass. (D)</p> Signup and view all the answers

    Using the density of water at 1.00 g/mL, what is the mass of 855 L of water?

    <p>855000 g (C)</p> Signup and view all the answers

    What is the molar mass of water ($H_2O$) needed for the calculation?

    <p>18.02 g/mol (A)</p> Signup and view all the answers

    If the enthalpy of solidification for water is -6.01 kJ/mol, what does the negative sign indicate?

    <p>The reaction is exothermic, meaning heat is released by the water. (C)</p> Signup and view all the answers

    Given the reaction $C_2H_4 + H_2 \rightarrow C_2H_6$, and using Hess's Law, what is the correct formula to calculate $ \Delta H_{rxn}$?

    <p>$ \Delta H_1 + \Delta H_2 - \Delta H_3$ (A)</p> Signup and view all the answers

    What does the symbol $\Delta H_f^\circ$ represent?

    <p>The enthalpy change when one mole of a compound is formed from its elements in their standard state under standard conditions. (A)</p> Signup and view all the answers

    What are the correct standard conditions for a standard enthalpy change?

    <p>25 degrees Celsius and 1 bar pressure. (A)</p> Signup and view all the answers

    Which of the following equations represents the standard enthalpy of formation $\Delta H_f^\circ$ for water?

    <p>$H_2(g) + \frac{1}{2}O_2(g) \rightarrow H_2O(l)$ (D)</p> Signup and view all the answers

    How can the standard enthalpy of reaction be calculated using standard enthalpies of formation?

    <p>$\Delta H^\circ_{rxn} = \Sigma \Delta H^\circ_{f,products} - \Sigma \Delta H^\circ_{f,reactants}$ (B)</p> Signup and view all the answers

    What is the classification of hydrocarbons where each carbon atom is bonded to 4 other atoms?

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

    Which of the following ways cannot be used to determine the standard enthalpy of reaction, $ \Delta H^\circ_{rxn}$?

    <p>Using the ideal gas law. (B)</p> Signup and view all the answers

    In the calculation of $\Delta H_{rxn} = -285.8 \text{ kJ} + (-1441 \text{ kJ}) + 1560 \text{ kJ}$, what does the positive sign in +1560 kJ signify?

    <p>The third reaction is reversed. (A)</p> Signup and view all the answers

    Given the reaction $2NO(g) \rightarrow N_2(g) + O_2(g)$ with $\Delta H = -180 kJ$, what is the $\Delta H$ for the reaction $4NO(g) \rightarrow 2N_2(g) + 2O_2(g)$?

    <p>-360 kJ (D)</p> Signup and view all the answers

    According to Hess's Law, how should the enthalpy change ($\Delta H$) of a reaction be modified if the reaction is reversed?

    <p>The $\Delta H$ sign is reversed. (B)</p> Signup and view all the answers

    If reaction $A \rightarrow B$ has $\Delta H = -100 kJ$ and $B \rightarrow C$ has $\Delta H = 50 kJ$, what is the $\Delta H$ of the overall reaction $A \rightarrow C$?

    <p>-50 kJ (D)</p> Signup and view all the answers

    Given the following reactions: 1) $H_2(g) + \frac{1}{2} O_2(g) \rightarrow H_2O(l)$ $\Delta H = -285.8 kJ$ and 2) $C_2H_4(g) + 3O_2(g) \rightarrow 2H_2O(l) + 2CO_2(g) $ $\Delta H=-1411 kJ$. What is the correct way to manipulate them to find the $\Delta H$ of $C_2H_4(g) + H_2(g) \rightarrow C_2H_6(g)$?

    <p>Add reaction 1 and 2 as is. (A)</p> Signup and view all the answers

    Consider the reaction $C_2H_6(g) + \frac{7}{2} O_2(g) \rightarrow 3 H_2O(l) + 2 CO_2(g)$ with $\Delta H =-1560 kJ$. What is the $\Delta H$ for the reaction $3H_2O(l) + 2CO_2(g) \rightarrow C_2H_6(g) + \frac{7}{2} O_2(g)$?

    <p>1560 kJ (D)</p> Signup and view all the answers

    Given the reactions: 1) $H_2(g) + \frac{1}{2} O_2(g) \rightarrow H_2O(l)$ $\Delta H_1 = -285.8 kJ$ , 2) $C_2H_4(g) + 3 O_2(g) \rightarrow 2 H_2O(l) + 2 CO_2(g)$ $\Delta H_2 = -1411 kJ$ and 3) $C_2H_6(g) + \frac{7}{2} O_2(g) \rightarrow 3 H_2O(l) + 2 CO_2(g)$ $\Delta H_3 = -1560 kJ$, what is the correct set up to calculate $\Delta H$ for $C_2H_4(g) + H_2(g) \rightarrow C_2H_6(g)$?

    <p>$\Delta H_1 + \Delta H_2 - \Delta H_3$ (C)</p> Signup and view all the answers

    Using the given reactions: 1) $H_2(g) + \frac{1}{2} O_2(g) \rightarrow H_2O(l)$, $\Delta H_1 = -285.8 kJ$, 2) $C_2H_4(g) + 3O_2(g) \rightarrow 2H_2O(l) + 2CO_2(g)$, $\Delta H_2 = -1411 kJ$, and 3) $C_2H_6(g) + \frac{7}{2} O_2(g) \rightarrow 3H_2O(l) + 2CO_2(g)$, $\Delta H_3 = -1560 kJ$, what is the enthalpy change for the reaction $C_2H_4(g) + H_2(g) \rightarrow C_2H_6(g)$?

    <p>-135 kJ (B)</p> Signup and view all the answers

    Which of the following statements best describes Hess's Law?

    <p>The $\Delta H$ for a reaction is the sum of the $\Delta H$ values of the reactions that make it up. (C)</p> Signup and view all the answers

    Study Notes

    Chapter 6: Thermochemistry: Energy Changes in Reactions

    • Thermochemistry is the study of the relationship between chemical reactions and changes in energy.
    • Thermodynamics is the study of energy and its transformations.
    • Thermal equilibrium is a state where temperature is uniform throughout a material, and no energy flows between points.
    • Heat is energy transferred between objects due to a temperature difference.
    • Work is a form of energy required to move an object through a distance; calculated as work (w) = force (F) x distance (d).
    • Potential energy (PE) is energy stored due to position; PE = m x g x h, where m = mass, g = acceleration due to gravity, and h = vertical distance.
    • Kinetic energy (KE) is energy due to motion; KE = 1/2mu², where m = mass and u = velocity.
    • Total energy is the sum of potential and kinetic energy: Total energy = PE + KE = mgh + ½mu².
    • Law of conservation of energy: Energy cannot be created or destroyed but can be converted from one form to another.
    • Chemical energy is a form of potential energy that can be converted to heat.
    • Thermal energy is the kinetic energy of atoms, ions, and molecules.
    • Energy at the molecular level: Kinetic energy is related to mass, velocity, and temperature, while potential energy is related to electrostatic interactions (Q1 x Q2) /d, where Q = charge and d = distance).
    • Electrostatic potential energy (Eel) is the energy stored between interacting charges; Eel ∝(Q1 x Q2) /d .
    • Energy of Chemical Reactions: Energy is released or absorbed during reaction; the reactions are represented by chemical equations to show energy transfers.
    • Terminology of Energy Transfer:
      • System is the focus of the study, and a system.
      • Isolated: No energy or matter exchanged with surroundings.
    • Closed: Energy exchanged, but not matter. - Open: Both energy and matter exchanged.
    • Surroundings: Everything outside the system.
    • Universe is the system + surroundings.
    • Examples of Systems:
      • Isolated: Thermos bottle with tightly closed lid.
      • Closed: Coffee cup with a lid.
      • Open: Open cup of hot soup.
    • Heat Flow:
      • Exothermic: Energy flows out of the system to the surroundings (q < 0).
      • Endothermic: Energy flows into the system from the surroundings (q > 0).
    • Phase Changes and Heat Flow: The diagram shows different energy transfers between states (Solid, Liquid, Vapor). Specific changes (fusion, vaporization, solidification, condensation, sublimation, deposition) are also included in the diagram
    • Energy and Phase Changes: The absorbed heat increases the kinetic energy of molecules. Loss of kinetic energy is caused by release of heat by molecules.

    Change in Internal Energy

    • ΔE = change in system's internal energy
    • ΔE = q + w (q = heat, w = work)
    • Work (w) = -PΔV (P = pressure, ΔV = change in volume)
    • Work done by the system is considered negative.

    Units of Energy

    • Calorie (cal): Amount of heat required to raise the temperature of 1 gram of water by 1°C.
    • Joule (J): SI unit of energy; 4.184 J = 1 cal
    • Energy is heat and/or work.

    First Law of Thermodynamics

    • Energy of the universe is constant.
    • Energy gained or lost by a system must equal the energy lost or gained by the surroundings; ΔEsystem= -ΔEsurroundings

    Energy Flow Diagram

    • Heat in (q > 0) flows to the system.
    • Heat out (q < 0) flows from the system.
    • Work done on the system (w > 0).
    • Work done by the system (w < 0).
    • ΔE = q + w

    Enthalpy, Change in Enthalpy

    • Enthalpy (H): Enthalpy is a state function. H = E + PV
    • ΔH = ΔE + PΔV
    • ΔH = qp (qp equals heat at constant pressure)
    • ΔH > 0: Endothermic; ΔH < 0: Exothermic
    • Subscripts are used to specify the process.

    Calorimetry

    • Calorimetry measures the transfer of heat.
    • A calorimeter is a device to measure heat transfer in physical or chemical processes. In a closed system: -qsystem = qcalorimeter.
    • Bomb calorimeter: Used to measure energy released during combustion reactions.
    • The heat produced by a reaction is equal to the heat gained by the calorimeter, qrxn = qcal = Ccal ΔT, where Ccal is the heat capacity of the calorimeter and ΔT is the change in temperature.

    Enthalpy in Change of State

    • Molar heat of fusion ΔHfus: Energy to convert 1 mole of solid to liquid at its melting point; q = nΔHfus
    • Molar heat of vaporization ΔHvap: Energy to convert 1 mole of liquid to vapor at its boiling point; q = nΔHvap

    Heats of Reaction

    • The heat involved in a reaction depends on the specific reaction involved (the reagents and products).

    Hess's Law

    • ΔHrxn for a sum of reactions equal to the sum of the ΔH values for the individual reactions.
      • If a reaction is reversed the sign of ΔH changes
      • If coefficients of a reaction are multiplied the value of ΔH is also multiplied.

    Enthalpy of Formation, ΔH°f

    • Standard enthalpy of formation, ∆H°f: enthalpy change when 1 mole of substance is formed from its elements in their standard states.
    • Formation reaction for water: H2(g) + ½O2(g) → H₂O(l)
    • Standard state: The most stable form of a substance under standard conditions. Standard conditions are 1 bar pressure and a given temperature, usually 25°C.

    Standard Enthalpy of Reaction, ΔHrxn°

    • Calculated from ΔH°f
    • ΔH°rxn = ΣnproductsΔH°f - ΣnreactantsΔH°f, n = number of moles. - Tables listing the standard enthalpies of formation for many substances are commonly used to make calculations.

    Alkanes

    • Alkanes are hydrocarbons where each carbon atom is bonded to four other atoms.
    • Alkane names are derived from prefixes based on the number of carbons in the molecule.
    • Chemical formulas for alkanes: CnH2n+2

    Fuel Values

    • Fuel value: The energy released during complete combustion of 1 g of a substance.
    • Fuel density: The energy released during complete combustion of 1 L of a liquid fuel.
    • Tables listing fuel values (kJ/g) are available.

    Food Values

    • Food value: The energy produced when a material is completely consumed by an organism for sustenance.
    • Determined by bomb calorimetry.
    • Nutritional calorie = 1 kcal = 4.184 kJ

    Other Topics:

    • Heating curves graphs the temperature change over time of a material as heat is added.
    • Cooling curves show temperature decrease over time with heat transfer.
    • Specific heat and Molar heat capacities: describe the energy required to change the temperature of a substance per gram/mole.
    • Models of different types of molecules are presented.
    • Tables show values for different materials.

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