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Questions and Answers
What does the subscript 'p' indicate in the molar heat capacity formula, Cp?
What does the subscript 'p' indicate in the molar heat capacity formula, Cp?
- Constant pressure (correct)
- Constant volume
- Constant mass
- Constant temperature
Molar heat capacity is only dependent on the temperature of the substance.
Molar heat capacity is only dependent on the temperature of the substance.
False (B)
What is the formula to calculate the amount of heat absorbed by a substance?
What is the formula to calculate the amount of heat absorbed by a substance?
q = mcΔT
In calorimetry, the equation qsystem = - qsurroundings is used to represent the _____ of heat.
In calorimetry, the equation qsystem = - qsurroundings is used to represent the _____ of heat.
Match the following quantities with their respective descriptions:
Match the following quantities with their respective descriptions:
What happens to the temperature of a calorimeter during a reaction?
What happens to the temperature of a calorimeter during a reaction?
Calculate q for a 24.0 g aluminum can heated by 15.0°C if its specific heat is 0.897 J g-1 °C-1.
Calculate q for a 24.0 g aluminum can heated by 15.0°C if its specific heat is 0.897 J g-1 °C-1.
In an ideal calorimetry measurement, the heat lost by a system is equal to the heat gained by the surroundings.
In an ideal calorimetry measurement, the heat lost by a system is equal to the heat gained by the surroundings.
What is the specific heat capacity represented by?
What is the specific heat capacity represented by?
Energy can be created from one form to another according to the first law of thermodynamics.
Energy can be created from one form to another according to the first law of thermodynamics.
What does DE represent in the context of energy flow?
What does DE represent in the context of energy flow?
Calorimetry measures the flow of heat into and out of a _______.
Calorimetry measures the flow of heat into and out of a _______.
Match the types of heat capacities with their definitions:
Match the types of heat capacities with their definitions:
If 515 J of heat is added to a gas and it does 218 J of work, what is the change in energy of the system?
If 515 J of heat is added to a gas and it does 218 J of work, what is the change in energy of the system?
Negative values for energy change indicate that energy is absorbed by the system.
Negative values for energy change indicate that energy is absorbed by the system.
What is thermal pollution?
What is thermal pollution?
What is the energy density of the fuel if 0.245 g of it produces a temperature increase of 5.23°C in a calorimeter, given that the heater supplies 100.0 J of heat for a temperature increase of 0.850°C?
What is the energy density of the fuel if 0.245 g of it produces a temperature increase of 5.23°C in a calorimeter, given that the heater supplies 100.0 J of heat for a temperature increase of 0.850°C?
The heat flow during a phase change occurs with a change in temperature.
The heat flow during a phase change occurs with a change in temperature.
What is the formula for energy change (ΔE) in terms of heat flow (q) and work (w)?
What is the formula for energy change (ΔE) in terms of heat flow (q) and work (w)?
The combustion of octane under constant volume conditions releases _____ kJ.
The combustion of octane under constant volume conditions releases _____ kJ.
Match the type of process with its corresponding ΔH sign:
Match the type of process with its corresponding ΔH sign:
What term describes the heat required to convert liquid to gas?
What term describes the heat required to convert liquid to gas?
Enthalpy change (ΔH) is positive for exothermic processes.
Enthalpy change (ΔH) is positive for exothermic processes.
What does ΔH represent in thermodynamics?
What does ΔH represent in thermodynamics?
What is the primary relationship between a nation's energy consumption and its economic growth?
What is the primary relationship between a nation's energy consumption and its economic growth?
Nearly half of all domestic energy use in the United States is dedicated to producing electricity.
Nearly half of all domestic energy use in the United States is dedicated to producing electricity.
What is the first law of thermodynamics?
What is the first law of thermodynamics?
In 2011, the total energy supply for the United States was ______ quadrillion Btu.
In 2011, the total energy supply for the United States was ______ quadrillion Btu.
Match each category of energy consumption with its percentage in the United States in 2011:
Match each category of energy consumption with its percentage in the United States in 2011:
What type of energy is characterized by the position of an object?
What type of energy is characterized by the position of an object?
What is meant by 'conversion losses' in energy generation?
What is meant by 'conversion losses' in energy generation?
The energy supply in the U.S. is completely derived from domestic production.
The energy supply in the U.S. is completely derived from domestic production.
What does a negative change in energy (DE) indicate?
What does a negative change in energy (DE) indicate?
Heat can be completely converted to work without any loss of energy.
Heat can be completely converted to work without any loss of energy.
What is the first law of thermodynamics?
What is the first law of thermodynamics?
Calorimetry is primarily used to measure the flow of heat into and out of a _______.
Calorimetry is primarily used to measure the flow of heat into and out of a _______.
Match the type of heat capacity with its description:
Match the type of heat capacity with its description:
If 515 J of heat is added to a gas that does 218 J of work, what is the change in energy of the system?
If 515 J of heat is added to a gas that does 218 J of work, what is the change in energy of the system?
Thermal pollution is caused by the discharge of waste energy into bodies of water.
Thermal pollution is caused by the discharge of waste energy into bodies of water.
What is waste energy?
What is waste energy?
What is the primary difference between the heat of vaporization and the heat of condensation?
What is the primary difference between the heat of vaporization and the heat of condensation?
The change in enthalpy (ΔH) is positive when a system releases heat.
The change in enthalpy (ΔH) is positive when a system releases heat.
What is the relationship between internal energy change (DE), heat flow (q), and work (w)?
What is the relationship between internal energy change (DE), heat flow (q), and work (w)?
The energy density of a fuel is calculated as the amount of energy liberated per _____ of fuel burned.
The energy density of a fuel is calculated as the amount of energy liberated per _____ of fuel burned.
Match the following process with their corresponding ΔH sign:
Match the following process with their corresponding ΔH sign:
Under what conditions does the heat flow during a phase change occur?
Under what conditions does the heat flow during a phase change occur?
What is the enthalpy change (ΔH) for the combustion of 1 mole of methane?
What is the enthalpy change (ΔH) for the combustion of 1 mole of methane?
The heat of formation for elements in their standard state is always greater than zero.
The heat of formation for elements in their standard state is always greater than zero.
The internal energy change for a reaction can be defined as the heat flow at constant pressure.
The internal energy change for a reaction can be defined as the heat flow at constant pressure.
What does ΔH represent in thermodynamics?
What does ΔH represent in thermodynamics?
What is the reaction type for CH4 + 2O2 -> CO2 + 2H2O?
What is the reaction type for CH4 + 2O2 -> CO2 + 2H2O?
The thermochemical equation indicates that if stoichiometric coefficients are multiplied by a factor, the heat of reaction must also be multiplied by that ______.
The thermochemical equation indicates that if stoichiometric coefficients are multiplied by a factor, the heat of reaction must also be multiplied by that ______.
Match the types of heat of reaction with their descriptions:
Match the types of heat of reaction with their descriptions:
Which bonds are broken during the combustion of methane?
Which bonds are broken during the combustion of methane?
Hess's Law states that the total enthalpy change for a reaction is the same, regardless of the number of steps taken.
Hess's Law states that the total enthalpy change for a reaction is the same, regardless of the number of steps taken.
What is the standard unit of ΔH for a phase change?
What is the standard unit of ΔH for a phase change?
What is the standard state for an element?
What is the standard state for an element?
The heat of vaporization for water is low and does not play a role in electricity production.
The heat of vaporization for water is low and does not play a role in electricity production.
What is the term for the enthalpy change that occurs during a chemical reaction?
What is the term for the enthalpy change that occurs during a chemical reaction?
Breaking bonds requires _____, while forming bonds releases _____ energy.
Breaking bonds requires _____, while forming bonds releases _____ energy.
Match the phase change with its corresponding enthalpy change:
Match the phase change with its corresponding enthalpy change:
How can the heat flow during phase changes be calculated?
How can the heat flow during phase changes be calculated?
Endothermic reactions release more energy than is required to break reactant bonds.
Endothermic reactions release more energy than is required to break reactant bonds.
What happens to the temperature during a phase change?
What happens to the temperature during a phase change?
What does a positive value of change in energy (DE) indicate?
What does a positive value of change in energy (DE) indicate?
It is impossible to completely convert all heat to work.
It is impossible to completely convert all heat to work.
What is the main principle of the first law of thermodynamics?
What is the main principle of the first law of thermodynamics?
Calorimetry measures the flow of heat into and out of a _______.
Calorimetry measures the flow of heat into and out of a _______.
Match the following factors to their descriptions concerning heat capacity:
Match the following factors to their descriptions concerning heat capacity:
Which of the following statements about waste energy is true?
Which of the following statements about waste energy is true?
Specific heat is the same for all substances regardless of their phase.
Specific heat is the same for all substances regardless of their phase.
What does the efficiency of conversion from heat to work represent?
What does the efficiency of conversion from heat to work represent?
What type of energy is associated with the position of an object?
What type of energy is associated with the position of an object?
The Joule is the SI unit of energy.
The Joule is the SI unit of energy.
What is the flow of energy between two objects due to a temperature difference called?
What is the flow of energy between two objects due to a temperature difference called?
During energy transformation, the total energy must be _____
During energy transformation, the total energy must be _____
Which of the following is a unit of energy besides Joules?
Which of the following is a unit of energy besides Joules?
Match the following forms of energy with their descriptions:
Match the following forms of energy with their descriptions:
Work in a chemical context is defined as the transfer of energy through a force moving a mass some distance.
Work in a chemical context is defined as the transfer of energy through a force moving a mass some distance.
What must be specified to account for energy transformations and conversions?
What must be specified to account for energy transformations and conversions?
What is the enthalpy change for an exothermic process?
What is the enthalpy change for an exothermic process?
The heat of condensation is always an endothermic process.
The heat of condensation is always an endothermic process.
What is the relationship between q, w, and ΔE?
What is the relationship between q, w, and ΔE?
The change in enthalpy (ΔH) during a phase change occurs with no change in __________.
The change in enthalpy (ΔH) during a phase change occurs with no change in __________.
What is the heat of vaporization (ΔHvap)?
What is the heat of vaporization (ΔHvap)?
Match the following terms with their definitions:
Match the following terms with their definitions:
Combustion of octane under constant pressure conditions releases more energy than under constant volume conditions.
Combustion of octane under constant pressure conditions releases more energy than under constant volume conditions.
What is the unit for enthalpy change (ΔH) during a phase change?
What is the unit for enthalpy change (ΔH) during a phase change?
What happens to ΔH when a system absorbs heat?
What happens to ΔH when a system absorbs heat?
The heat of vaporization for water is greater than the heat of fusion for ice.
The heat of vaporization for water is greater than the heat of fusion for ice.
What type of reaction is it if the energy released from product bonds is greater than the energy required to break reactant bonds?
What type of reaction is it if the energy released from product bonds is greater than the energy required to break reactant bonds?
To calculate the heat flow during a phase change, the formula is ΔH = n × ΔH phase change, where n is the number of _____ of the substance.
To calculate the heat flow during a phase change, the formula is ΔH = n × ΔH phase change, where n is the number of _____ of the substance.
Match the phase change with its corresponding ΔH sign:
Match the phase change with its corresponding ΔH sign:
What happens to the temperature during a phase change?
What happens to the temperature during a phase change?
What is the primary purpose of using the large heat of vaporization of water in power plants?
What is the primary purpose of using the large heat of vaporization of water in power plants?
The enthalpy change for melting ice is negative.
The enthalpy change for melting ice is negative.
What type of reaction is the combustion of methane?
What type of reaction is the combustion of methane?
The ΔH value for the combustion of 1 mole of methane is -890.4 kJ.
The ΔH value for the combustion of 1 mole of methane is -890.4 kJ.
What is the heat of formation (ΔHf) for elements in their standard state?
What is the heat of formation (ΔHf) for elements in their standard state?
In a combustion reaction, carbon and hydrogen bonds are _____ while carbon dioxide and water are _____ during the process.
In a combustion reaction, carbon and hydrogen bonds are _____ while carbon dioxide and water are _____ during the process.
Match the following terms with their definitions:
Match the following terms with their definitions:
What must be done to the ΔH value if the stoichiometric coefficients in a reaction are multiplied by 2?
What must be done to the ΔH value if the stoichiometric coefficients in a reaction are multiplied by 2?
What is Hess's Law used for?
What is Hess's Law used for?
The bond energies used to calculate enthalpy changes are exact values.
The bond energies used to calculate enthalpy changes are exact values.
Study Notes
Molar Heat Capacity
- Defined as the heat needed to raise the temperature of one mole of a substance by 1ºC.
- Represented by ( C_p ) (subscript "p" indicates constant pressure).
- Specific to each compound and phase.
Heat Capacity and Specific Heat
- Heat absorbed can be calculated using the formula: ( q = mc\Delta T ) or ( q = nC_p\Delta T ).
- Specific heat capacity (( c )) measures the heat required to raise the temperature of one gram of a substance by 1ºC.
- Both specific heat and molar heat capacities vary by substance.
Calorimetry
- Heat flow measurement utilizes a calorimeter, which gauges heat absorbed or released by monitoring the surrounding temperature change.
- Fundamental relationship: ( q_{\text{system}} = - q_{\text{surroundings}} ).
- In calorimetric measurements, two main steps are performed: Calibration and Actual Measurement.
Example Problems in Calorimetry
- For a 24.0 g aluminum can heated by 15.0°C, calculate ( q ).
- Molar heat capacity of liquid water is 75.3 J/(mol·K). For 37.5 g of water cooled from 42.0 to 7.0°C, determine ( q ).
Energy Transformation and Conservation of Energy
- Energy can change forms but not created or destroyed, expressed as ( \Delta E_{\text{universe}} = \Delta E_{\text{surroundings}} + \Delta E_{\text{system}} = 0 ).
- Signs of energy change indicate flow direction: negative for release, positive for absorption.
Waste Energy
- Heat can be harnessed for work; however, complete conversion to work is unattainable. Residual heat is waste energy, contributing to thermal pollution.
- Energy consumption efficiency can improve through enhanced energy efficiencies, affecting thermal pollution levels.
Heat Capacity Factors
- The amount of heat absorbed depends on:
- Mass (( m )) or number of moles (( n )).
- Type of material determined by specific heat (( c )) or molar heat capacity (( C_p )).
- Temperature change (( \Delta T )).
Enthalpy
- Defined as heat flow under constant pressure conditions.
- The equation for enthalpy change includes ( H = E + PV ) and ( \Delta H = q_p ).
- Exothermic processes release heat, resulting in negative ( \Delta H ); endothermic processes absorb heat, yielding positive ( \Delta H ).
ΔH of Phase Changes
- Phase changes occur at constant pressure with no temperature change despite heat flow due to bond formation or breaking.
- Heat of vaporization (( \Delta H_{\text{vap}} )) is endothermic; heat of condensation (( \Delta H_{\text{cond}} )) is exothermic.
- The values of these enthalpy changes are equal in magnitude but opposite in sign: ( \Delta H_{\text{cond}} = -\Delta H_{\text{vap}} ).
Chapter Objectives
- Understanding energy conversions is crucial for economic growth; losses are inevitable in these processes.
- Work and heat are defined using standard sign conventions; state functions play a significant role in thermodynamics.
- The first law of thermodynamics can be expressed as ΔE_universe = ΔE_surroundings + ΔE_system = 0.
- Calorimetric data can be utilized to determine energy (E) and enthalpy (H) values for chemical reactions.
Energy Use and the World Economy
- Energy consumption serves as an indicator of a nation's economic growth, directly linked to Gross Domestic Product (GDP).
- In 2011, U.S. energy supply totaled 107.66 quadrillion Btu (British thermal units); 1 Btu = 1,054.35 J.
- The energy supply breakdown includes coal, natural gas, crude oil, natural gas liquids (NGPL), nuclear, and renewable energy sources.
- Domestic energy production was 70.47 quadrillion Btu, with imports making up 31.02 quadrillion Btu.
- Energy consumption components in the U.S.: Residential (22%), Commercial (19%), Industrial (31%), and Transportation (28%).
- Approximately half of domestic energy use is for electricity production; conversion losses account for nearly two-thirds of energy consumption in this process.
Forms of Energy
- Energy is categorized into potential energy and kinetic energy.
- The relationship in energy change is given by the equation ΔE = q + w, where q is heat and w is work.
Energy Transformation and Conservation
- Energy flow direction is indicated by the sign of the energy change; negative values signify energy release, while positive values indicate energy absorption.
- The first law of thermodynamics asserts that energy can change form but cannot be created or destroyed.
Waste Energy
- Waste energy is the leftover heat not converted into work, contributing to thermal pollution.
- Conversion efficiency can be improved, balancing increased energy consumption.
Heat Capacity and Calorimetry
- Calorimetry measures heat transfer into and out of a system, influenced by mass (m), specific heat capacity (c), and temperature change (ΔT).
- Specific heat capacity is the heat required to raise 1 gram of a substance by 1ºC; it is substance-specific.
Enthalpy
- Enthalpy change (ΔH) reflects heat flow under constant pressure; defined as H = E + PV.
- Exothermic processes release heat (ΔH < 0), while endothermic processes absorb heat (ΔH > 0).
ΔH of Phase Changes
- Phase changes occur at constant pressure and are characterized by specific enthalpy values.
- Heat of vaporization (ΔHvap) is endothermic; heat of condensation (ΔHcond) is exothermic, and ΔHcond = -ΔHvap.
Bonds and Energy
- Reactions involve breaking and forming bonds; bond breaking requires energy while bond formation releases energy.
- The sign of ΔH indicates whether a reaction is exothermic or endothermic; for example, the combustion of methane releases 890.4 kJ.
Heats of Reaction for Specific Reactions
- Heats of reactions are labeled for different reactions, such as heat of combustion (ΔH_comb) and heat of neutralization (ΔH_neut).
- ΔHf° is defined for the formation of one mole of a compound from elements in their standard state, where ΔHf° = 0 for elements in their most stable form.
Hess’s Law and Heats of Reaction
- Hess's law allows for determining heats of reaction indirectly when direct measurement is challenging or hazardous.
Energy Definitions and Forms
- Potential energy is related to an object's relative position, while kinetic energy is associated with an object's motion.
- Kinetic energy formula: ( KE = \frac{1}{2} mv^2 ), where ( m ) is mass and ( v ) is velocity.
- Internal energy consists of combined kinetic and potential energies of atoms and molecules.
- Chemical energy is released or absorbed during chemical reactions.
- Other energy forms include radiant, mechanical, thermal, electrical, and nuclear energy.
- Thermochemistry focuses on the energetic consequences of chemical processes.
Heat and Work
- Heat refers to energy flow between objects due to temperature differences, moving from warmer to cooler objects.
- Work is energy transfer performed by a force moving a mass against resistance.
- Common work type in chemistry is pressure-volume work (PV-work), illustrated by releasing an inflated balloon.
Energy Units
- Joule (J) is the SI unit of energy, defined as ( 1 , \text{J} = 1 , \text{kg m}^2/\text{s}^2 ).
- Other units include British thermal unit (Btu) and calorie; ( 1 , \text{Btu} = 1055 , \text{J} ), ( 1 , \text{calorie} = 4.184 , \text{J} ).
Energy Transformation and Conservation
- Total energy must be conserved during transformations; system + surroundings = universe.
- Energy flow only occurs as heat (q) and work (w) in defined systems.
- Change in energy (( \Delta E )) is calculated as ( \Delta E = q + w ).
- The first law of thermodynamics states that energy can be transformed but not created or destroyed; ( DE_{\text{universe}} = DE_{\text{surroundings}} + DE_{\text{system}} = 0 ).
Waste Energy
- Work is commonly extracted from a system by converting heat into work, but not all heat can be efficiently transformed.
- Waste energy contributes to thermal pollution, altering the normal temperature of bodies of water.
- Energy conversion efficiency can improve future energy consumption outcomes.
Heat Capacity and Calorimetry
- Calorimetry measures heat flow in a system based on three factors: amount of material (m or n), type of material (specific heat capacity ( c ) or molar heat capacity ( C_p )), and temperature change (( \Delta T )).
- Specific heat capacity describes the heat needed to raise the temperature of one gram of a substance by 1ºC; it varies by compound.
Enthalpy
- Enthalpy (( H )) is defined as heat flow under constant pressure, with the change in enthalpy formula: ( \Delta H = \Delta E + P\Delta V ).
- Exothermic reactions release heat (negative ( \Delta H )); endothermic reactions absorb heat (positive ( \Delta H )).
- During phase changes, temperature remains constant as thermal energy changes.
ΔH of Phase Changes
- Heat of vaporization (( \Delta H_{\text{vap}} )) is the energy required to convert a liquid to a gas (endothermic).
- Heat of condensation (( \Delta H_{\text{cond}} )) is the energy released converting a gas to a liquid (exothermic).
- Enthalpy changes are compound-specific and measured in kJ/mol; calculated using ( \Delta H = n \times \Delta H_{\text{phase change}} ).
Heat and Energy in Reactions
- Enthalpy changes can be determined for chemical reactions, recognized as heat of reaction.
- Bond energies provide a way to estimate enthalpy changes; bond breaking requires energy while bond formation releases energy.
- If more energy is released in bond formation than consumed in bond breaking, the reaction is exothermic.
Heats of Reaction and Formation
- Designations for specific reactions include heat of combustion, heat of formation, and heat of neutralization.
- Standard enthalpy of formation (( \Delta H_f^\circ )) is zero for elements in their standard states.
- Hess's Law allows calculation of reaction enthalpies through indirect methods when direct measurement is impractical.
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Test your understanding of molar heat capacity and calorimetry with this quiz. Explore concepts such as heat absorbed calculations and the principles of measuring heat flow. Practical example problems are included to enhance application of the theory.