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

Flashcards

Molar heat of fusion (∆Hfus)

The amount of energy required to convert 1 mole of a solid at its melting point into the liquid state.

Molar heat of vaporization (∆Hvap)

The amount of energy required to convert 1 mole of a liquid at its boiling point to the vapor state.

Molar heat capacity (cP)

The quantity of energy required to raise the temperature of 1 mole of a substance by 1℃.

Specific heat (cs)

The energy required to raise the temperature of 1 gram of a substance by 1oC.

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Heat capacity (CP)

The quantity of energy needed to raise the temperature of an object by 1℃.

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Internal Energy (E)

The total energy of a system, including the kinetic energy and potential energy of all its components.

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State Function

Internal energy is a state function, meaning it only depends on the initial and final states of the system, not the path taken.

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Change in Internal Energy (ΔE)

The change in internal energy of a system is equal to the heat absorbed or released by the system plus the work done on or by the system. ΔE = q + w

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Calorie (cal)

The amount of energy transferred as heat to raise the temperature of 1 gram of water by 1 degree Celsius.

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Joule (J)

The SI unit of energy, equivalent to 4.184 joules.

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First Law of Thermodynamics

The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed.

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Work (w)

The work done by a system is equal to the negative of the pressure times the change in volume.

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Law of Conservation of Energy

The total energy of the universe is constant. This implies that any energy gained or lost by a system must be equal to the energy lost or gained by the surroundings.

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Potential Energy (PE)

Energy stored in an object due to its position. It depends on the object's mass, acceleration due to gravity, and vertical distance.

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Kinetic Energy (KE)

Energy an object possesses due to its motion. It depends on the object's mass and velocity.

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Total Energy

The total energy of a system is the sum of its potential and kinetic energies.

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Thermal Energy

The energy associated with the random motion of atoms and molecules within a substance. It is directly related to temperature.

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System

The part of the universe under study during a thermochemical experiment.

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Exothermic Process

The process of energy flowing from the system to the surroundings. In this case, the system loses energy.

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Endothermic Process

The process of energy flowing into the system from the surroundings. In this case, the system gains energy.

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Enthalpy change at constant pressure (∆Hsys)

The enthalpy change of a system at constant pressure. It is a measure of the heat absorbed or released by a system during a process.

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What does the sign of ∆Hsys tell us?

The sign of ∆Hsys indicates whether the system gains or loses heat during a process.

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Freezing

The process by which a liquid changes into a solid.

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Enthalpy of solidification (∆Hsolid)

The amount of heat energy required to freeze one mole of a substance.

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Why is ∆Hsys negative for freezing?

For the water to freeze, energy must be removed from the system (water). Therefore, ∆Hsys is negative for freezing.

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Volume to mass conversion

The process in which the volume of a substance is converted into the corresponding mass.

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Mass to mole conversion

The conversion of mass into the corresponding number of moles of that substance.

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Calculating ∆Hsys for freezing water

The value of ∆Hsys for freezing a specific amount of water is calculated by multiplying the number of moles of water by the enthalpy of solidification of water.

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Hess's Law of Constant Heat Summation

The enthalpy change for a reaction is directly proportional to the stoichiometric coefficients of the balanced chemical equation.

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Hess's Law

The enthalpy change (H) for a reaction is the sum of the enthalpy changes for each step involved in the reaction.

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Enthalpy Change for the Reverse Reaction

For the reverse of a reaction, the sign of the enthalpy change changes, but its magnitude remains the same.

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Hess's Law: Enthalpy is a State Function

The change in enthalpy for a reaction is the same as the sum of the enthalpy changes for each step, regardless of the pathways taken in the reaction.

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Exothermic reaction

A reaction that releases heat to the surroundings and has a negative enthalpy change.

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Endothermic reaction

A reaction that absorbs heat from the surroundings and has a positive enthalpy change.

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Enthalpy change (H)

The amount of heat energy absorbed or released during a chemical reaction at constant pressure. It is a negative value for exothermic reactions and a positive value for endothermic reactions.

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Standard Enthalpy of Formation (ΔHf°)

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

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Standard Enthalpy of Reaction (ΔH°rxn)

The energy change that occurs in a reaction taking place under standard conditions (1 bar pressure, 25°C)

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Standard State of a Substance

The most stable form of a substance under standard conditions (1 bar pressure, 25°C)

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Alkanes

A hydrocarbon where each carbon atom is bonded to four other atoms.

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Relationship between Enthaply of formation and enthaply of reaction

The sum of the standard enthalpies of formation of the products minus the sum of the standard enthalpies of formation of the reactants, multiplied by their respective stoichiometric coefficients.

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Calorimetry

A method of determining the enthalpy change of a reaction using experimental measurements of the heat absorbed or released during the reaction

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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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