Thermochemistry: Energy and Chemical Reactions
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A chemical reaction occurs in an isolated system. Which of the following statements is true regarding the change in internal energy ($ΔE$) of the system?

  • The $ΔE$ will be negative if the reaction is endothermic.
  • The $ΔE$ will be zero because no energy can enter or leave the system. (correct)
  • The $ΔE$ will be positive if the reaction is exothermic.
  • The $ΔE$ will depend on the amount of work done by the system.

Consider a scenario where a gas expands against a constant external pressure while absorbing heat from the surroundings. Which of the following statements accurately describes the signs of heat (q) and work (w) in this process, according to the first law of thermodynamics?

  • q is negative, w is positive
  • q is positive, w is negative (correct)
  • Both q and w are positive
  • Both q and w are negative

Which of the following processes is endothermic?

  • Dissolving ammonium nitrate in water. (correct)
  • Neutralization of a strong acid with a strong base.
  • Combustion of methane gas.
  • Freezing of water.

For a chemical reaction at constant pressure, the change in enthalpy ($ΔH$) is equal to:

<p>The heat absorbed or released during the reaction. (C)</p> Signup and view all the answers

A system releases 500 J of heat to the surroundings and does 200 J of work on the surroundings. What is the change in internal energy ($ΔE$) of the system?

<p>-700 J (B)</p> Signup and view all the answers

The internal energy of a gas increases by 300 J when it is compressed, and at the same time it gives off 600 J of heat. What is the work done on or by the gas?

<p>Work done on the gas is 900 J. (D)</p> Signup and view all the answers

Which of the following statements correctly describes the relationship between enthalpy change ($ΔH$) and internal energy change ($ΔE$) for a reaction involving gases, where there is a decrease in the number of moles of gas?

<p>$ΔH$ is less than $ΔE$. (A)</p> Signup and view all the answers

A 2.0 mol sample of an ideal gas expands from an initial volume of 10.0 L to a final volume of 25.0 L at a constant temperature of 300 K. Calculate the work done (in Joules) by the gas if the expansion occurs against a constant external pressure of 1.0 atm. (1 L atm = 101.3 J)

<p>-1519.5 J (B)</p> Signup and view all the answers

For the reaction N2(g) + 2O2(g) → 2NO2(g), ΔH = 68 kJ. If the reaction is reversed and the amount of N2(g) is doubled, what is the new ΔH value?

<p>-136 kJ (C)</p> Signup and view all the answers

Given the following reactions and their enthalpies:

N2 + O2 → 2NO ΔH = 180kJ 2NO + O2 → 2NO2 ΔH = -112kJ

Calculate the enthalpy change for the reaction N2 + 2O2 → 2NO2 using Hess's Law.

<p>68 kJ (D)</p> Signup and view all the answers

Consider the following reactions:

C2H2(g) + 5/2 O2(g) → 2 CO2(g) + H2O(l) ΔH = -1299.5kJ C(s) + O2(g) → CO2(g) ΔH = -393.5kJ H2(g) + ½ O2(g) → H2O(l) ΔH = -285.8kJ

What manipulations are required to calculate the enthalpy for the reaction 2C(s) + H2(g) → C2H2(g)?

<p>Reverse the first reaction, multiply the second by 2, leave the third as is, and then sum them up. (A)</p> Signup and view all the answers

Given the following reactions:

2B(s) + 3/2O2(g) → B2O3(s) ΔH = -1273kJ B2H6(g) + 3O2(g) → B2O3(s) + 3H2O(g) ΔH = -2035kJ H2(g) + 1/2O2 (g) → H2O(l) ΔH = -286kJ H2O(l) → H2O(g) ΔH = 44kJ

What series of manipulations will allow you to calculate the enthalpy for the synthesis of diborane from its elements: 2B(s) + 3H2(g) → B2H6(g)?

<p>Keep a as is, reverse b, multiply c by 3, multiply d by 3, and sum them up. (B)</p> Signup and view all the answers

If the enthalpy change (ΔH) for a reaction is negative, what does this indicate about the reaction?

<p>The reaction is exothermic and releases heat to the surroundings. (D)</p> Signup and view all the answers

For the reaction 2O3(g) → 3O2(g), ΔH = -427kJ and for O2(g) → 2O(g), ΔH = +495kJ What is the enthalpy change for the reaction O3(g) → 3O(g)?

<p>$(\frac{3}{2} * 495) - 427$ (B)</p> Signup and view all the answers

Consider the reaction: NO(g) + O3(g) → NO2(g) + O2(g) ΔH = -199kJ, and O2(g) → 2O(g) ΔH = +495kJ. Using these reactions, determine the enthalpy (ΔH) for: NO(g) + O(g) → NO2(g)

<p>93.5 kJ (A)</p> Signup and view all the answers

Standard state conditions are important in thermochemistry. Which of the following conditions define standard state conditions?

<p>298 K and 1 atm (D)</p> Signup and view all the answers

For an exothermic reaction, which statement is true regarding the enthalpy change ($ΔH$) and the heat involved?

<p>$ΔH$ is negative, and heat is released to the surroundings. (A)</p> Signup and view all the answers

Consider the reaction: $N_2(g) + 3H_2(g) \rightarrow 2NH_3(g)$ with $\Delta H = -92.2 \text{ kJ}$. What is the enthalpy change for the reverse reaction: $2NH_3(g) \rightarrow N_2(g) + 3H_2(g)$?

<p>$92.2 \text{ kJ}$ (A)</p> Signup and view all the answers

If the complete combustion of 1 mole of ethane ($C_2H_6$) releases 1560 kJ of heat at constant pressure, what is the $\Delta H$ for the combustion of 0.5 moles of ethane?

<p>$-780 \text{ kJ}$ (C)</p> Signup and view all the answers

In calorimetry, what observation typically indicates an endothermic reaction within the calorimeter?

<p>The temperature of the solution inside the calorimeter decreases. (A)</p> Signup and view all the answers

A 25.0 g piece of metal at 85.0°C is placed in 100.0 g of water at 22.0°C. The final temperature of the water and metal is 25.6°C. Given the specific heat of water is 4.184 J/g°C, which expression calculates the specific heat ($c$) of the metal?

<p>$c = \frac{(100.0 \text{ g})(4.184 \text{ J/g°C})(25.6 - 22.0)}{(25.0 \text{ g})(85.0 - 25.6)}$ (B)</p> Signup and view all the answers

Using Hess's Law, given the following reactions:

$A \rightarrow B, \Delta H_1 = -50 \text{ kJ}$ $B \rightarrow C, \Delta H_2 = 20 \text{ kJ}$

What is the enthalpy change for the reaction $A \rightarrow C$?

<p>$-30 \text{ kJ}$ (A)</p> Signup and view all the answers

40.0 mL of 0.50 M HCl is mixed with 40.0 mL of 0.50 M NaOH in a calorimeter. The initial temperature of both solutions is 22.0°C, and the final temperature after mixing is 25.0°C. Assuming the density of the solution is 1.0 g/mL and the specific heat capacity is 4.18 J/g°C, what is the approximate enthalpy change per mole of reaction?

<p>$-42.0 \text{ kJ/mol}$ (D)</p> Signup and view all the answers

Which of the following is NOT a direct application of Hess's Law?

<p>Measuring the heat evolved or absorbed in a reaction using a calorimeter. (A)</p> Signup and view all the answers

Flashcards

Energy

The capacity to do work or produce heat.

Thermochemistry

The study of energy and its transformations, especially in relation to chemical reactions involving heat.

Thermal Energy

Energy associated with the random motion of atoms and molecules.

Potential Energy

Energy available due to an object's position or composition.

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Law of Conservation of Energy

Energy cannot be created or destroyed, only converted from one form to another.

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Exothermic Process

A process that releases heat to the surroundings.

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Endothermic Process

A process that absorbs heat from the surroundings.

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Enthalpy (ΔH)

Measure of heat flow in a system, equals to Hproducts – Hreactants. Positive ΔH is endothermic, negative ΔH is exothermic.

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Enthalpy of Reaction

The enthalpy change that accompanies a reaction; also known as the heat of reaction.

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Exothermic Reaction

A reaction that releases heat, resulting in a negative ΔH.

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Calorimetry

Measuring heat based on temperature change when a system absorbs or releases energy.

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Calorimeter

Instrument used to measure heat changes experimentally .

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Specific Heat

Heat required to raise the temperature of one gram of a substance by 1 degree Celsius (J/g°C).

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Molar Heat Capacity

Heat capacity of one mole of a substance.

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Hess's Law

The change in enthalpy is the same whether the reaction occurs in one step or a series of steps.

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Reactant Enthalpy & Exothermic Rxn

If reactants have more enthalpy than products, heat is released, ΔH is negative, and the reaction is exothermic.

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Degree Sign (°)

Symbol indicating standard state conditions, often used with thermodynamic quantities like enthalpy.

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Standard Enthalpy of Reaction (△H°rxn)

The change in enthalpy for a reaction when all reactants and products are in their standard states.

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Standard Enthalpy of Formation (△Hf)

The enthalpy change when one mole of a substance is formed from its elements under standard conditions.

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Fuel Value

The energy released when one gram of a substance is completely combusted.

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Bond Enthalpy

The enthalpy change for breaking one mole of a specific bond in the gaseous phase.

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Reversing a Reaction

If a reaction is reversed, the sign of ΔH (enthalpy change) is also reversed.

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ΔH and Stoichiometry

The magnitude of ΔH is directly proportional to the amount of reactants and products.

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Applying Hess’s Law

A method to determine the overall enthalpy change of a reaction by summing the enthalpy changes of individual steps.

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Standard State Conditions

Standard state is a reference point for properties. The standard state is defined as 1 atm and 298K

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Enthalpies of Formation

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

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Combining ΔH Values

If a reaction is expressed as the sum of a series of steps, the enthalpy change for the overall reaction is the sum of the heats of reaction for each step.

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Cancelling Species

Species that appear on both sides of the reaction arrow can be cancelled.

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Study Notes

Chapter 5: Thermochemistry

  • This covers the study of energy and its transformations, especially the relationship between chemical reactions and energy changes involving heat.

Section 1: The Nature of Chemical Energy

  • Energy is defined as the capacity to do work or produce heat.
  • Thermodynamics is the study of energy and its transformations.
  • Thermochemistry is a type of thermodynamics that studies the relationships between chemical reactions and energy changes involving heat.
  • Radiant energy (solar energy) and thermal energy (energy associated with random motion of molecules) are types of energy
  • Potential energy represents energy available by virtue of an object's position and kinetic energy represents energy of motion
  • All forms of energy can be converted from one form to another.
  • The Law of Conservation of Energy states energy cannot be created or destroyed but only converted

Section 2: First Law of Thermodynamics

  • Most chemical reactions absorb or produce energy, primarily in the form of heat.
  • Heat is the transfer of thermal energy between two bodies at different temperatures.
  • The first law of thermodynamics states that energy cannot be created or destroyed but can be converted into different forms.
  • Analyzing energy changes requires defining the system, which is the specific part of the universe of interest.
  • The surroundings are the rest of the universe outside the system.
  • Systems can be open, closed, or isolated.
  • An exothermic process releases heat and transfers thermal energy to the surroundings
  • An endothermic process requires heat to be applied to the system.

Section 3: Enthalpy

  • Internal energy of a system is the sum of kinetic and potential energies of its components.
  • "ΔE = q + w" represents the change in a system's internal energy where "q" is heat and "w" is work
  • "#" and a + or - sign indicate the direction of energy flow
  • ΔΕ is negative if exothermic because energy leaves and work is done on the surroundings; positive if endothermic because energy enters and work is done on the system.
  • Enthalpy (H) helps measure the flow of heat for a system
  • ΔH represents change in enthalpy as in ΔH = H(products) - H(reactants)
  • If products have more enthalpy, heat will be absorbed (ΔH is positive, and the reaction is endothermic);
  • If reactants have more enthalpy, heat is released (ΔH is negative, and the reaction is exothermic).

Section 4: Enthalpies of Reaction

  • The enthalpy change accompanying a reaction is called the enthalpy of reaction or the heat of reaction
  • The reaction 2H2(g) + O2(g) → 2H2O(g) has a △H of -483.6kJ
  • A negative enthalpy change indicates the reaction is exothermic
  • Enthalpy is an extensive property, contingent on the state of reactants and products.
  • Enthalpy change for a reaction equals the magnitude but is opposite in sign to the reverse reaction.

Section 5: Calorimetry

  • Calorimetry is the science of measuring heat by observing temperature changes when a system absorbs or discharges energy as heat.
  • A calorimeter is an instrument used experimentally to measure heat change.
  • Specific heat of a substance is the amount of heat required to raise the temperature of one gram of the substance by 1 degree C; units are J/g°C.
  • Molar heat capacity measures heat capacity of one mole of a substance.
  • Calorimeters often have two cups nested inside each other
  • The inner cup holds the solution where rxn occurs
  • Temperatures are measured initially and after the reaction starts
  • If the solution heats up, heat is released by the reaction (exothermic); if it cools down, heat is absorbed by the reaction (endothermic).

Section 6: Hess's Law

  • During reaction, if temperature rises to 31.9C from 25C, then the enthalpy can he calculated using ΔH
  • During calorimetry problems, the enthalpy of the solution is calculated using "q = (mass)(specific heat)(ΔTemperature)"
  • According to Hess's Law; for a given set of reactants to a particular set of products, the change in enthalpy is the same whether the reaction takes place in one step or in a series of steps.
  • If a reactions is reversed, the sign of AH is reversed and AH is directly proportional to the reactants.
  • If the coefficients in a balance equation are multipled by an integer, the ΔΗ is also multiplied by the same integer.

Section 7: Enthalpies of Formation

  • At standard states, substances are at 1 atm and often 298K (rather than 273K as in STP).
  • A degree sign (°) indicates a standard state.
  • Charts provide ΔH° values for elements and compounds for calculating the standard enthalpy of reaction (ΔH°rxn).
  • Hess's Law can be used to calculate standard enthalpy of reaction. Additionally, reactions also provide standard enthalpy of reaction

Section 8: Bond Enthalpies

  • Energy changes from chemical reactions which involve heat are closely linked to changes in the formation and breaking of chemical bonds.
  • Bond enthalpy represents the enthalpy change for breaking a particular bond in one mole of a gaseous substance.

Section 9: Foods and Fuels

  • Chemical reactions that produce heat are combustion reactions
  • The amount of energy released when one gram of any substance is combusted is the fuel value, which fuel values can be measured with calorimeters.
  • The bodies energy comes from carbohydrates and fat, then broken down for muscles, temp control, and tissue repair
  • Any unused excess is stored as fat.
  • Fossil fuels like natural gas, petroleum, and coal are commonly used as fuels due to their bonds breaking and releasing heat, often for electricity.

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Explore thermochemistry, the study of energy and its transformations in relation to chemical reactions. Learn about the nature of chemical energy, including potential and kinetic energy. Understand the First Law of Thermodynamics and the Law of Conservation of Energy.

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