Thermodynamics MCQs
What is the study of the relationships between heat, work, and energy called?
Mechanics
Electromagnetism
Quantum Mechanics
Thermodynamics
Explanation:Thermodynamics is the branch of physics that deals with heat, work, and temperature, and their relation to energy, radiation, and the physical properties of matter.
Which of the following is a statement of the First Law of Thermodynamics?
Heat flows spontaneously from a hotter body to a colder body.
The entropy of a perfect crystal at absolute zero is exactly equal to zero.
For every action, there is an equal and opposite reaction.
Energy cannot be created or destroyed, only transferred or converted from one form to another.
Explanation:This is the principle of conservation of energy, which is the foundation of the First Law of Thermodynamics.
What is the internal energy of an ideal gas dependent on?
Pressure only
Volume only
Pressure and volume
Temperature only
Explanation:For an ideal gas, the internal energy is the sum of the kinetic energies of its molecules, which is directly proportional to the absolute temperature.
In an isothermal process, which of the following remains constant?
Pressure
Volume
Heat
Temperature
Explanation:The prefix 'iso-' means equal, and 'thermal' relates to heat or temperature.
In an adiabatic process, what is true about the heat transfer?
Heat is constantly added to the system.
Heat is constantly removed from the system.
Heat transfer is equal to the work done.
There is no heat transfer.
Explanation:An adiabatic process is defined as one in which no heat is transferred into or out of the system (Q=0).
What is the work done by a gas during an isobaric expansion?
W = VΔP
W = nRT ln(V₂/V₁)
W = 0
W = PΔV
Explanation:For a constant pressure (isobaric) process, the work done is the product of the constant pressure and the change in volume.
The efficiency of a Carnot engine depends on:
The working substance
The pressure of the working substance
The volume of the working substance
The temperatures of the hot and cold reservoirs
Explanation:The efficiency of an ideal Carnot engine is determined solely by the absolute temperatures of the heat source (hot reservoir) and heat sink (cold reservoir).
What is the measure of the disorder or randomness of a system called?
Enthalpy
Internal energy
Gibbs free energy
Entropy
Explanation:Entropy is a thermodynamic property that is a measure of the molecular disorder or randomness of a system.
According to the Second Law of Thermodynamics, the entropy of an isolated system:
Always decreases
Remains constant
Can either increase or decrease
Always increases or remains constant
Explanation:The Second Law states that the total entropy of an isolated system can never decrease over time; it increases for irreversible (natural) processes and remains constant for reversible processes.
What is the SI unit of entropy?
Joules (J)
Kelvin (K)
Watts (W)
Joules per Kelvin (J/K)
Explanation:Entropy is defined as heat divided by temperature, so its units are energy per temperature (J/K).
A refrigerator is an example of a:
Heat engine
Perpetual motion machine
Carnot engine
Heat pump
Explanation:A refrigerator is a specific type of heat pump that moves heat from a cold space (inside the fridge) to a warmer space (the room).
If 8400 J of heat is added to a 2 kg block of copper, raising its temperature from 10°C to 20°C, what is the specific heat capacity of copper?
840 J/(kg·K)
42 J/(kg·K)
8400 J/(kg·K)
420 J/(kg·K)
Explanation:The formula for heat transfer is Q = mcΔT. The temperature change ΔT is 20°C - 10°C = 10°C (which is a change of 10 K). Rearranging to find c: c = Q / (mΔT) = 8400 J / (2 kg * 10 K) = 420 J/(kg·K).
The molar specific heat at constant pressure (Cₚ) is always greater than the molar specific heat at constant volume (Cᵥ) for an ideal gas because:
The temperature of the gas increases more at constant pressure.
The pressure of the gas increases more at constant pressure.
The internal energy of the gas increases more at constant pressure.
Work is done by the gas when it expands at constant pressure.
Explanation:At constant pressure, the supplied heat energy is used for both increasing the internal energy and doing work of expansion. At constant volume, all the heat goes into increasing the internal energy.
The relationship between Cₚ and Cᵥ for an ideal gas is:
Cₚ + Cᵥ = R
Cₚ / Cᵥ = R
Cᵥ - Cₚ = R
Cₚ - Cᵥ = R
Explanation:This is Mayer's formula, which relates the two molar specific heats to the ideal gas constant R.
The triple point of water is:
The boiling point of water at standard atmospheric pressure.
The freezing point of water at standard atmospheric pressure.
The critical point of water.
The temperature and pressure at which water can exist in equilibrium as a solid, liquid, and gas.
Explanation:The triple point is a unique condition of temperature and pressure where all three phases (solid, liquid, gas) of a substance can coexist in thermodynamic equilibrium.
Which of the following processes is irreversible?
A Carnot cycle
Slow compression of a gas in a cylinder
The melting of ice at 0°C
The diffusion of gases
Explanation:Once gases are mixed through diffusion, they will not spontaneously separate. This is an example of an irreversible process that increases entropy.
The work done in a cyclic process is equal to:
Zero
The heat absorbed by the system
The change in internal energy
The area enclosed by the cycle on a P-V diagram
Explanation:The net work done during a cyclic process is represented by the area inside the loop on a pressure-volume (P-V) diagram.
A heat engine takes in 100 J of heat from a hot reservoir and exhausts 60 J of heat to a cold reservoir. What is its efficiency?
Explanation:Efficiency = (Work output / Heat input). Work output = Heat input - Heat output = 100 J - 60 J = 40 J. So, efficiency = (40 J / 100 J) * 100% = 40%.
The equation of state for an ideal gas is:
P₁V₁ = P₂V₂
V₁/T₁ = V₂/T₂
P₁/T₁ = P₂/T₂
PV = nRT
Explanation:This is the ideal gas law, which relates pressure (P), volume (V), number of moles (n), the ideal gas constant (R), and temperature (T).
The zeroth law of thermodynamics deals with:
Conservation of energy
Direction of heat flow
Absolute zero
Thermal equilibrium
Explanation:The zeroth law states that if two systems are each in thermal equilibrium with a third system, then they are in thermal equilibrium with each other. This establishes the concept of temperature.
The specific heat capacity of a substance is the amount of heat required to raise the temperature of:
1 mole of the substance by 1 K
The entire substance by 1 K
1 g of the substance by 1 °C
1 kg of the substance by 1 K
Explanation:This is the definition of specific heat capacity, an intensive property of a substance.
What is the process called when a substance changes directly from a solid to a gas?
Evaporation
Condensation
Melting
Sublimation
Explanation:Sublimation is the phase transition of a substance directly from the solid to the gas state, without passing through the liquid state.
The latent heat of fusion is the heat required to:
Change a unit mass of a substance from a liquid to a gas at its boiling point.
Raise the temperature of a unit mass of a substance by 1 K.
Change a unit mass of a substance from a solid to a gas at its sublimation point.
Change a unit mass of a substance from a solid to a liquid at its melting point.
Explanation:The term 'fusion' refers to melting. Latent heat is the energy absorbed or released during a phase change at a constant temperature.
Which of the following is an extensive property?
Temperature
Pressure
Density
Volume
Explanation:An extensive property is a property that depends on the amount of matter in a sample. Volume, mass, and internal energy are extensive.
Which of the following is an intensive property?
Mass
Volume
Internal energy
Density
Explanation:An intensive property does not depend on the amount of matter. Density, temperature, and pressure are intensive.
The efficiency of a practical heat engine is always:
Greater than the efficiency of a Carnot engine
Equal to the efficiency of a Carnot engine
Always 100%
Less than the efficiency of a Carnot engine
Explanation:The Carnot engine represents the maximum possible efficiency for any heat engine operating between two given temperatures, due to its ideal, reversible nature.
The first law of thermodynamics is a statement of:
Conservation of momentum
Conservation of charge
Conservation of mass
Conservation of energy
Explanation:The first law is a version of the law of conservation of energy, adapted for thermodynamic systems, relating internal energy, heat, and work.
In an isochoric process, what remains constant?
Temperature
Pressure
Heat
Volume
Explanation:The term 'isochoric' comes from the Greek words 'isos' (equal) and 'khora' (space or volume).
In an isobaric process, what remains constant?
Temperature
Volume
Heat
Pressure
Explanation:The term 'isobaric' comes from the Greek words 'isos' (equal) and 'baros' (weight or pressure).
The change in internal energy of a system in a cyclic process is:
Positive
Negative
Equal to the work done
Zero
Explanation:Internal energy is a state function. Since a cyclic process returns the system to its initial state, the net change in internal energy is zero.
Heat can be transferred by:
Conduction and convection only
Convection and radiation only
Conduction and radiation only
Conduction, convection, and radiation
Explanation:These are the three fundamental modes of heat transfer.
The transfer of heat by the movement of a fluid is called:
Conduction
Radiation
Advection
Convection
Explanation:Convection is the heat transfer due to the bulk movement of molecules within fluids such as gases and liquids.
The transfer of heat through electromagnetic waves is called:
Conduction
Convection
Refraction
Radiation
Explanation:Thermal radiation is the emission of energy as electromagnetic waves. It does not require a medium to travel.
The transfer of heat through direct contact is called:
Convection
Radiation
Induction
Conduction
Explanation:Conduction is the process where heat is transmitted through a substance from a region of higher temperature to a region of lower temperature without any movement of the material itself.
The absolute zero of temperature is:
Explanation:Absolute zero (0 Kelvin) is the lowest possible temperature, where all classical molecular motion ceases.
The work done on a system is considered:
Positive
Zero
Infinite
Negative
Explanation:By physics sign convention for the first law (ΔU = Q - W), work done on a system (compression) is negative, as it increases the internal energy.
The work done by a system is considered:
Negative
Zero
Infinite
Positive
Explanation:By physics sign convention for the first law (ΔU = Q - W), work done by a system (expansion) is positive, as it decreases the internal energy.
The heat absorbed by a system is considered:
Negative
Zero
Infinite
Positive
Explanation:By convention, heat absorbed by a system (endothermic) is positive, as it increases the internal energy.
The heat released by a system is considered:
Positive
Zero
Infinite
Negative
Explanation:By convention, heat released by a system (exothermic) is negative, as it decreases the internal energy.
The coefficient of performance of a refrigerator is given by:
Explanation:The coefficient of performance (COP) is the ratio of the desired output (heat removed from the cold reservoir, Qc) to the required input (work done, W).
The coefficient of performance of a heat pump is given by:
Explanation:The coefficient of performance (COP) for a heat pump is the ratio of the desired output (heat delivered to the hot reservoir, Qh) to the required input (work done, W).
A Carnot engine operates between a hot reservoir at 327°C and a cold reservoir at 27°C. What is its theoretical maximum efficiency?
Explanation:First, convert temperatures to Kelvin: Tₕ = 327 + 273 = 600 K; T꜀ = 27 + 273 = 300 K. The efficiency (η) is calculated using the formula η = 1 - (T꜀ / Tₕ). So, η = 1 - (300 K / 600 K) = 1 - 0.5 = 0.5, which is 50%.
A process that can be reversed without leaving any change in the system or the surroundings is called:
An irreversible process
A spontaneous process
A non-spontaneous process
A reversible process
Explanation:This is the definition of a reversible process, which is an idealization used in thermodynamics.
Which of the following is an example of a state function?
Work
Heat
Both work and heat
Internal energy
Explanation:A state function (like internal energy, pressure, temperature, volume) depends only on the current state of the system, not on the path taken to reach that state.
Which of the following is an example of a path function?
Temperature
Pressure
Volume
Work
Explanation:A path function (like heat and work) is a property that depends on the path taken to get from an initial to a final state.
The third law of thermodynamics states that the entropy of a perfect crystal at absolute zero is:
Infinite
Positive
Negative
Zero
Explanation:This is the statement of the third law. At absolute zero, a perfect crystal has a minimum possible entropy, which is defined as zero.
A system that can exchange both energy and matter with its surroundings is called:
A closed system
An isolated system
A thermodynamic system
An open system
Explanation:An example is a pot of boiling water without a lid, which exchanges heat (energy) and water vapor (matter) with the air.
A system that can exchange energy but not matter with its surroundings is called:
An open system
An isolated system
A mechanical system
A closed system
Explanation:An example is a sealed can of soup being heated. It can absorb heat (energy) but no matter can enter or leave.
A system that cannot exchange either energy or matter with its surroundings is called:
An open system
A closed system
A chemical system
An isolated system
Explanation:An example is a perfectly insulated thermos. It is an idealization as perfect isolation is not achievable in practice.
The internal energy of a system can be changed by:
Heat only
Work only
Neither heat nor work
Heat and work
Explanation:The first law of thermodynamics (ΔU = Q - W) shows that the change in internal energy (ΔU) is the sum of heat added (Q) and work done on the system (-W).
The temperature of a substance is a measure of the:
Total kinetic energy of its molecules
Average potential energy of its molecules
Total energy of its molecules
Average kinetic energy of its molecules
Explanation:Temperature is directly proportional to the average translational kinetic energy of the particles in a substance.
The specific heat of a gas in an isothermal process is:
Zero
Positive
Negative
Infinite
Explanation:In an isothermal process (ΔT=0), heat can be added without changing the temperature. Since C = Q/(mΔT), dividing by zero gives an infinite specific heat.
The specific heat of a gas in an adiabatic process is:
Infinite
Positive
Negative
Zero
Explanation:In an adiabatic process, there is no heat exchange (Q=0). Since C = Q/(mΔT), the specific heat is zero.
The ratio of the molar specific heats, γ = Cₚ/Cᵥ, for a monatomic gas is:
Explanation:For a monatomic gas, Cᵥ = (3/2)R and Cₚ = (5/2)R, so γ = (5/2)R / (3/2)R = 5/3 ≈ 1.67.
The ratio of the molar specific heats, γ = Cₚ/Cᵥ, for a diatomic gas is:
Explanation:For a diatomic gas, Cᵥ = (5/2)R and Cₚ = (7/2)R, so γ = (7/2)R / (5/2)R = 7/5 = 1.4.
The work done in an isochoric process is:
PΔV
nRT ln(V₂/V₁)
Negative
Zero
Explanation:In an isochoric process, the volume is constant (ΔV=0). Since W = PΔV, no work is done.
A Carnot cycle consists of:
Two isobaric and two isochoric processes
Two isothermal and two isobaric processes
Two adiabatic and two isochoric processes
Two isothermal and two adiabatic processes
Explanation:A Carnot cycle is a theoretical thermodynamic cycle consisting of four reversible steps: isothermal expansion, adiabatic expansion, isothermal compression, and adiabatic compression.
The efficiency of a Carnot engine is given by:
1 - (Th/Tc)
Tc/Th
Th/Tc
1 - (Tc/Th)
Explanation:The efficiency of a Carnot engine depends only on the absolute temperatures of the cold (Tc) and hot (Th) reservoirs.
The first law of thermodynamics can be written as:
ΔU = W - Q
ΔQ = U - W
ΔW = Q - U
ΔU = Q - W
Explanation:This equation states that the change in a system's internal energy (ΔU) is equal to the heat added to the system (Q) minus the work done by the system (W).
The change in entropy is defined as:
ΔS = ΔQ * T
ΔS = T/ΔQ
ΔS = ΔT/Q
ΔS = ΔQ/T
Explanation:For a reversible process, the change in entropy (ΔS) is the heat transferred (ΔQ) divided by the absolute temperature (T) at which the transfer occurs.
The area under a T-S diagram represents:
Work done
Change in internal energy
Change in enthalpy
Heat transferred
Explanation:Since ΔQ = TΔS for a reversible process, the heat transferred is the integral of TdS, which is the area under the curve on a Temperature-Entropy (T-S) diagram.
A perpetual motion machine of the first kind is impossible because it would violate the:
Second law of thermodynamics
Third law of thermodynamics
Zeroth law of thermodynamics
First law of thermodynamics
Explanation:This type of machine would create energy from nothing, violating the first law (conservation of energy).
A perpetual motion machine of the second kind is impossible because it would violate the:
First law of thermodynamics
Third law of thermodynamics
Zeroth law of thermodynamics
Second law of thermodynamics
Explanation:This type of machine would convert heat completely into work with 100% efficiency, which violates the second law.
The Clausius statement of the second law of thermodynamics states that:
It is impossible for a heat engine to have 100% efficiency.
The entropy of an isolated system always increases.
Energy cannot be created or destroyed.
Heat cannot spontaneously flow from a colder body to a hotter body.
Explanation:This statement describes the natural direction of heat flow and is the principle behind refrigeration.
The Kelvin-Planck statement of the second law of thermodynamics states that:
Heat cannot spontaneously flow from a colder body to a hotter body.
The entropy of an isolated system always increases.
Energy cannot be created or destroyed.
It is impossible to construct a heat engine that is 100% efficient.
Explanation:This statement means it's impossible to create a device operating in a cycle that extracts heat from a single reservoir and converts it entirely into work.
The heat capacity of a body is the amount of heat required to raise its temperature by:
Explanation:This is the definition of heat capacity (an extensive property), which is different from specific heat capacity (an intensive property).
The process of converting a liquid to a vapor at a temperature below its boiling point is called:
Boiling
Sublimation
Condensation
Evaporation
Explanation:Evaporation is a surface phenomenon where a liquid turns into a gas at any temperature below the boiling point.
The amount of heat required to change the state of a substance without changing its temperature is called:
Specific heat
Heat capacity
Thermal energy
Latent heat
Explanation:Latent heat is the energy absorbed or released during a phase transition (like melting or boiling) that occurs at a constant temperature.
The latent heat of vaporization is the heat required to:
Change a unit mass of a substance from a solid to a liquid at its melting point.
Raise the temperature of a unit mass of a substance by 1 K.
Change a unit mass of a substance from a solid to a gas at its sublimation point.
Change a unit mass of a substance from a liquid to a gas at its boiling point.
Explanation:The term 'vaporization' refers to boiling. It's the energy needed to overcome intermolecular forces in the liquid state.
The critical temperature of a gas is the temperature:
At which it liquefies at atmospheric pressure.
At which it solidifies at atmospheric pressure.
At which its volume is zero.
Above which it cannot be liquefied, no matter how great the pressure.
Explanation:Above the critical temperature, a substance exists as a supercritical fluid, which has properties of both a gas and a liquid.
The Joule-Thomson effect describes the change in temperature of a gas when it is:
Heated at constant volume
Compressed adiabatically
Expanded isothermally
Forced through a porous plug or a narrow opening
Explanation:This process, also known as throttling, is a constant enthalpy process and is fundamental to refrigeration and gas liquefaction.
For an ideal gas, the Joule-Thomson coefficient is:
Positive
Negative
Infinite
Zero
Explanation:An ideal gas has no intermolecular forces, so its temperature does not change upon free expansion (throttling).
The temperature at which the Joule-Thomson coefficient changes sign is called the:
Critical temperature
Boiling point
Triple point
Inversion temperature
Explanation:Below the inversion temperature, a gas cools upon expansion (positive coefficient). Above it, the gas heats up (negative coefficient).
The mean free path of a gas molecule is the average distance traveled:
In one second
From one wall of the container to another
Before it escapes from the container
Between two successive collisions
Explanation:This is a key concept in the kinetic theory of gases that relates to properties like viscosity and thermal conductivity.
The pressure of an ideal gas is proportional to the:
Average potential energy of the molecules
Total kinetic energy of the molecules
Total energy of the molecules
Average kinetic energy of the molecules
Explanation:According to the kinetic theory of gases, pressure arises from the collisions of molecules with the container walls.
The root mean square speed of the molecules of a gas is proportional to:
The absolute temperature
The square of the absolute temperature
The reciprocal of the absolute temperature
The square root of the absolute temperature
Explanation:The root mean square speed is given by v_rms = √(3RT/M), so it is proportional to √T.
The Maxwell-Boltzmann distribution describes the:
Distribution of positions of molecules in a gas
Distribution of energies of molecules in a gas
Distribution of pressures of molecules in a gas
Distribution of speeds of molecules in a gas
Explanation:The Maxwell-Boltzmann distribution is a probability distribution for the speeds of particles in a gas at a certain temperature.
The law of equipartition of energy states that the average energy associated with each degree of freedom of a molecule is:
Explanation:This law states that the total energy of a system is shared equally among all its degrees of freedom, where k is the Boltzmann constant.
A monatomic gas has how many degrees of freedom?
Explanation:A monatomic gas (like Helium or Neon) has three translational degrees of freedom (movement in x, y, and z directions).
A diatomic gas has how many degrees of freedom at ordinary temperatures?
Explanation:A diatomic gas (like O₂ or N₂) has three translational and two rotational degrees of freedom at ordinary temperatures.
The van der Waals equation of state is a modification of the ideal gas law that takes into account:
The quantum mechanical effects of molecules
The relativistic effects of molecules
The vibrational motion of molecules
The finite volume of molecules and the intermolecular forces
Explanation:The van der Waals equation provides a more realistic model for the behavior of real gases by correcting for molecular size and attraction.
Stefan's law states that the total energy radiated per unit surface area of a black body per unit time is proportional to the:
Absolute temperature
Square of the absolute temperature
Cube of the absolute temperature
Fourth power of the absolute temperature
Explanation:This is the Stefan-Boltzmann law, expressed as P = σAT⁴, which describes the power radiated from a black body.
Wien's displacement law states that the peak wavelength of black-body radiation is:
Directly proportional to the absolute temperature
Proportional to the square of the absolute temperature
Proportional to the fourth power of the absolute temperature
Inversely proportional to the absolute temperature
Explanation:This law (λ_max = b/T) explains why hotter objects glow with shorter wavelengths (e.g., from red hot to white hot).
A black body is an object that:
Reflects all radiation incident upon it
Transmits all radiation incident upon it
Is black in color
Absorbs all radiation incident upon it
Explanation:A black body is an idealized physical body that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence.
The emissivity of a black body is:
Explanation:Emissivity is a measure of how well a surface radiates energy. A perfect black body is a perfect emitter, so its emissivity is 1.
The thermal conductivity of a material is a measure of its ability to:
Store heat
Radiate heat
Resist heat flow
Conduct heat
Explanation:Thermal conductivity quantifies how effectively a material transfers heat through conduction.
The rate of heat conduction through a material is proportional to the:
Temperature
Length of the material
Density of the material
Temperature gradient
Explanation:This is described by Fourier's law of heat conduction, which states that the rate of heat flow is proportional to the area and the temperature gradient.
A system absorbs 2000 J of heat from its surroundings and does 500 J of work on its surroundings. What is the change in the internal energy of the system?
Explanation:According to the First Law of Thermodynamics, ΔU = Q - W. Here, Q is positive (+2000 J) because heat is absorbed, and W is positive (+500 J) because work is done by the system. Therefore, ΔU = 2000 J - 500 J = 1500 J.
The SI unit of thermal conductivity is:
W·m/K
W/(m²·K)
J/(kg·K)
W/(m·K)
Explanation:The unit for thermal conductivity is watts per meter-Kelvin.
Newton's law of cooling states that the rate of loss of heat from a body is proportional to the:
Temperature of the body
Temperature of the surroundings
Surface area of the body
Difference in temperature between the body and its surroundings
Explanation:This law is an approximation that applies when the temperature difference between the object and its surroundings is small.
The thermodynamic temperature scale is also known as the:
Celsius scale
Fahrenheit scale
Rankine scale
Kelvin scale
Explanation:The Kelvin scale is the standard thermodynamic temperature scale, as it is based on an absolute zero point.
The triple point of water is defined to be exactly:
273.15 K
0.01 °C
0 K
273.16 K
Explanation:This fixed point is used to define the Kelvin scale. It is also equivalent to 0.01 °C.
The efficiency of a heat engine is defined as the ratio of:
Heat input to work output
Work output to heat output
Heat output to work output
Work output to heat input
Explanation:Efficiency measures how effectively a device converts the heat it receives into useful work.
The entropy of the universe is:
Always decreasing
Constant
Zero
Always increasing
Explanation:According to the second law of thermodynamics, the entropy of the universe (an isolated system) always increases in any spontaneous process.
Which statement best describes a reversible process?
It occurs at a rapid rate
It proceeds extremely slowly to maintain equilibrium
It takes place without any frictional losses
It can be reversed by making an infinitesimally small change in conditions
Explanation:A reversible process is defined as one that can be reversed by an infinitesimal change in conditions, ensuring the system remains in equilibrium throughout.
All natural processes are:
Reversible
Isothermal
Adiabatic
Irreversible
Explanation:All real-world processes are irreversible due to factors like friction, heat loss, and other dissipative effects that increase the total entropy.
The enthalpy of a system is defined as:
H = U - PV
H = PV - U
H = U + P/V
H = U + PV
Explanation:Enthalpy (H) is a thermodynamic property defined as the sum of the internal energy (U) and the product of pressure (P) and volume (V).
The change in enthalpy is equal to the heat transferred at constant:
Volume
Temperature
Entropy
Pressure
Explanation:This is a key property of enthalpy, making it very useful for analyzing processes that occur at constant pressure, such as many chemical reactions.
The Gibbs free energy of a system is defined as:
G = H + TS
G = TS - H
G = H - T/S
G = H - TS
Explanation:Gibbs free energy (G) is defined as enthalpy (H) minus the product of temperature (T) and entropy (S).
A spontaneous process occurs at constant temperature and pressure if the change in Gibbs free energy is:
Positive
Zero
Infinite
Negative
Explanation:A negative change in Gibbs free energy (ΔG < 0) indicates that a process is spontaneous under these conditions.
A gas inside a piston expands from an initial volume of 0.2 m³ to a final volume of 0.5 m³ at a constant pressure of 150 kPa. How much work is done by the gas?
Explanation:For an isobaric (constant pressure) process, work done is W = PΔV. First, convert pressure: 150 kPa = 150,000 Pa. The change in volume is ΔV = 0.5 m³ - 0.2 m³ = 0.3 m³. So, W = 150,000 Pa * 0.3 m³ = 45,000 J, which is equal to 45 kJ.
The Helmholtz free energy of a system is defined as:
A = U + TS
A = TS - U
A = U - T/S
A = U - TS
Explanation:Helmholtz free energy (A) is defined as internal energy (U) minus the product of temperature (T) and entropy (S). It represents the 'useful' work obtainable from a closed system at constant temperature and volume.
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