Physical Chemistry I Final Review – Flashcards

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the transfer of energy as disorederly motion as the result of a temperature difference between the system and its surroundings.
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Heat
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the transfer of energy as orderly motion. is due to energy being expended against an opposing force; the product of the force and the distance moved against it
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Work
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the total amount of energy in a system regarless of how that energy is stored. sum of all kinetic and potential energy within the system
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internal energy, U
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when a system losses energy to the surroundings, U is negative. When the system gains energy from the surroundings, U is positive
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sign of internal enery
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the value of the property changes with the amount of the material that is present; ex. mass, internal energy
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extensive property
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independent of amount of material present; ex. temp or density
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intensive property
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the value of a particular property only depends on the state of the system at that time
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state functions
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volume, pressure, internal energy and entropy
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examples of state functions
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property that depends upon the path by which a system in one state is changed to another state
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path function
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heat and work
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ex. of path functions
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no account of how the state was prepared is necessary
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When performing calculations on state functions
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the total energy of an isolated thermodynamic system is constant; conservation of energy
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The first law of thermodynamics
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energy cannot be created or destroyed
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conservation of energy
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∆U = q + w
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first law equation
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energy is gained by the system as heat or work
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U, q, and w are positive if
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energy is lost b the energy as heat or work
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U, q, and w are negative if
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path; they do not depend on the initial and final states but on how the final state is reached
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heat and work are ___ functions
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w=-Pex∆V, U=-Pex∆V + q
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When there is pV/expansion work, w= _____, U= _____
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∆V=0, and ∆U=q
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if a reaction takes place in a sealed container at fixed volume then,
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robust metal container in which a reaction takes place. As the reaction exchanges heat with the surroundings, the temperature of the surroundings changes. ∆U=q. temperature rise is related to the heat output form the reaction; temperature of a system is proportional to the amount of heat input into it by the heat capacity, C=dq=CdT
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bomb calorimeter
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relates the amount of temperature of a system to the amount of heat which is input into the system
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heat capacity
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Cp= Cv + nR
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Cp and Cv are the same for solids and liquids, but For gases
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constant volume heat capacity
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Cv
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constant pressure heat capacity
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Cp
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dU = CvdT or ∆U =Cv∆T, when Cv is independent of temperature
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At constant volume, the heat supplied is equal to the change in internal energy, so it is possible to write
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molar heat capacity
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Cm
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H= U + pV
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enthalpy equation
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constant pressure
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The enthalpy change for a process is equal to the heat exchange at
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∆H=∆U+ p∆V (note: this is equal to Q)
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Enthalpy equation at constant pressure is
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∆H=∆U+ ∆nRT, where ∆n is the molar change in gaseous component
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For a chemical system which releases or absorbs a gas a constant pressure, the enthalpy change is related to internal energy by
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enthalpy increases
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endothermic
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enthalpy decreases
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exothermic
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∆H=Cp∆T, provided that Cp does not appreciably change over the temperature range of interest. Otherwise, ∆H=∫CpdT.
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enthalpy change arising from a temperature change at constant pressure is
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∆H=∆H(products) - ∆H(reactants)
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In a chemical reaction, the enthalpy change is equal to the difference between the reactants and products
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∆H2 - ∆H1 =∫∆CpdT
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Where Cp does not appreciably change over the temperature range of interest, enthalpy may be expressed as
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∆H=q
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When the only work done by the system is pV work, at constant pressure
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the interanl energy change of that system and the work done by the system in expanding against the constant external pressure
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heat exchanged by a system at constant pressure is equal to the sum of the
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true
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an increase in enthalpy leads to an increase in its temperature (true or false)
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exothermic process
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Loss of heat from a system lowers its temperature and is referred to as an
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independent of the process from which they were formed
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Because enthalpy is a state function, the absolute enthalpy associated with the reactants and products in a reaction are
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the overall enthalpy change for a reaction is equal to the sum of the enthalpy changes for the individual steps in the reaction measured at the same temperature
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Hess's Law
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reverse the direction of the transfer through an infinitesimal change in the conditions
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if energy is transferred reversibly to or from a system, it must be possible to
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dq(rev)/T
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for a reversible process at constant temperature, the change in entropy, dS, is given by
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dS>dq/T
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For an irreversible process,
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the entropy of a perfectly crystalline solid at the absolute zero of temperature is zero
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the third law of thermodynamics
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reversibly or irreversibly
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any process involving the transfer of energy from one body to another may take place
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energy is transferred in such a way that at any point in the process the transfer may be reversed by an infinitesimally small change in the conditions. The system is therefore in equilibrium throughout the transfer. This means that the energy must be transferred infinitely slowly.
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reversible process
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energy is transferred in a manner which results in random motion and some of the energy is dissipated as heat. The process is irreversible because a proportion of this heat is dispersed irrecoverably, and the original conditions cannot be generated without work being done on the system.
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irreversible process
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less
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in isothermal expansion of an ideal gas against an external pressure, the amount of work done in a reversible process is ____ than the amount of work done for an irreversible process
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property and state function
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entropy is a thermodynamic ____ of a system and a ___ function
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dS=dq(rev)/T (reversible process), dS/T(irreversible process)
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For any process in any system, under isothermal conditions, the change in entropy, dS, is defined as:
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they are the same because entropy is a state function
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How does the system entropy change for a irreversible process relate to that of a reversible process
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-dq/dT
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the entropy change of the surroundings is
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zero
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the total entropy change for a reversible process is
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greater than zero
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the total entropy change for an irreversible process is
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dq(rev)=CdT and dS=CdT/T, ∆S=∫(C/T)dT
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If heat is added reversibly to a system, it is possible to measure the system entropy changes by measuring the heat capacity. Show the logic here.
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q=∆H(phase change) and ∆S=∆H(phase change)/T
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For a phase change at constant pressure, what are q and ∆S?
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∆S(vap) is approximately equal to 85 J/K mol for most materials. (Svap is noted for having a large absolute entropy of the gas phase)
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Trouton's Rule
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zero
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the entropy of a perfectly crystalline solid at absolute temperature of zero is
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has a measurable absolute value for any system
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because it is possible to measure entropy changes from a reference point using heat capacity measurements, entropy (unlike enthalpy and internal energy)
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has a natural tendency to occur without the need for input of work into the system
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spontaneous process
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expansion of a gas in a vacuum, ball rolling down a hill, flow of heat from a hot body to a cold one
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spontaneous process examples
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energy in the form of work must be put into the system
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for a nonspontaneous process to occur
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compression of a gas into a smaller volume, the raising of a weight against gravity, the flow of heat from a cold body to a hotter one
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examples of non-spontaneous processes
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increases for an irreversible process and remains constant for a reversible process
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For entropy of an isolated system ___ for a irreversible process and ______ for a reversible process
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decreases
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the entropy of an isolated system never
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the standard entropies of the initial and final states of the system
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Because entropy is a state function, entropy changes in a system may be calculated from
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quickly or randomly; it can take an infinite amount of time to occur
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Spontaneous does not mean that the reaction occurs
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work
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a spontaneous process may be harnessed to do ____ on another system
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does not have a natural tendency to occur
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non-spontaneous process
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non-spontaneous
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in any system, the reverse of a spontaneous process must be
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sum of the entropy change of the system and in the surroundings, and it must be greater than or equal to zero to comply with the second law
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the total entropy change is the
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The total entropy change is greater than zero. For example, the reaction can be exothermic and the heat lost to the surroundings causes the ∆S of the surroundings to be positive and greater than the ∆S of the system.
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How can the entropy change of the system be less than 0, but the reaction still spontaneous.
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G=H-TS
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Gibbs Free energy equation
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∆G=∆H-T∆S
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at constant temperature and pressure, finite changes in free energy may be expressed as
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volume
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The Helmholtz free energy, A, is applied at constant
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A=U-TS
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The Helmholtz free energy equation
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at constant temperature and pressure
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When are Gibbs free energy is equal to -T∆S
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at constant temperature and volume
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Helmholtz free energy is equal to -T∆S
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∆G<0 (constant pressure) and ∆A<0 (constant volume)
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For a spontaneous process what are Gibbs and Helmholtz free energy values?
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state functions without measurable absolute values
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Gibbs and Helmholtz free energies are
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the maximum amount of work, other than volume expansion work, which may be obtained from a process
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Define free energy change
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spontaneous process
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∆G is negative for a
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An exothermic reaction ∆H0
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What process is always spontaneous?
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An exothermic reaction ∆H<0 with a negative entropy change ∆S<0
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What process is spontaneous only at low temperatures?
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An endothermic reaction ∆H>0 with a positive entropy
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What process is spontaneous only at high temperatures?
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T=∆H/∆S
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The temperature at which a reaction becomes spontaneous is
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(d/dT(G/T))p = -H/T^2
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the Gibbs-Helmholtz equation relates the temperature dependence of gibbs free energy. It is expressed as
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S(surroundings) = -∆H(system)/T
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∆S(surroundings) is related to the enthalpy change in the system at constant pressure through the relationship
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∆S(total)= ∆S(surr) + ∆S(system) At constant pressure ∆S(total)= -∆H/T + ∆S(system) -T∆S(total)= ∆H(surr) -T∆S(system) ∆G= ∆H(surr)- T∆S(system)
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Derive Gibbs free energy equation from ∆S total
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∆G=-T∆S(total)
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Gibbs free energy is the measure of the total entropy change for a process
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spontaneous process at constant pressure
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Gibbs free energy is less than zero for a
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spontaneous process at constant volume
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Helmholtz free energy is less than zero for a
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∆G=∆G(standard) + RTln(Q), where Q is the reaction quotient
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Free energy varies markedly with composistion by the expression
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∆S(total)= ∆S(surr) + ∆S(system)
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Derive Helmholtz free energy from total entropy
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for closed system where changes occur under constant volume conditions, such as reactions or processes in solids
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When is helmholtz free energy useful
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most process take place at constant pressure
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Why is the gibbs free energy more commonly used than helmholtz free energy
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represents the maximum amount of work, other than pV work, which may be obtained from a process
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The most important property of the free energy is that it not only provides an indicaton of the spontaneity of a process but it also
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some heat from the system must be lost to the surroundings to contribute to ∆S(surroundings) such that the total entropy is greater than zero
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In the case of a reaction for which ∆Ssystem is negative, what must happen for the reaction to be spontaneous
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when the rate of the forward and backward reactions are equal
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When is equilibrium established
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...
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at equilibrium, the gibbs free energy changes for both the forward and backward reactions are zero
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∆G=∆G(standard) + RTln(K), where K is the equilibrium constant
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what is gibbs free energy in terms of the equilibrium constant
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property that depends only on the number of solute molecules present
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colligative property
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