Chapter 9: Heat and Thermodynamics

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Questions and Answers

What is a defining characteristic of two objects that are in thermal equilibrium?

  • They are at the same temperature. (correct)
  • They have the same mass.
  • They have the same volume.
  • They are made of the same material.

What is the role of a thermometer in the context of the Zeroth Law of Thermodynamics?

  • It measures the amount of heat transferred between objects.
  • It defines the temperature of a body based on its color change.
  • It establishes thermal equilibrium between two objects.
  • It acts as the 'third body' that determines if other objects are in thermal equilibrium. (correct)

What is the significance of the Zeroth Law of Thermodynamics?

  • It defines the relationship between heat and temperature.
  • It defines the concept of thermal equilibrium. (correct)
  • It defines the concept of specific heat capacity.
  • It explains how heat flows from a hot object to a cold object.

What is the formula for molar heat capacity?

<p>𝑄 / 𝑛Δ𝑇 (B)</p> Signup and view all the answers

Why are our senses unreliable for determining temperature?

<p>All of the above. (D)</p> Signup and view all the answers

What is the formula for calculating the heat required to raise the temperature of a substance at constant pressure?

<p>𝑄𝑃 = 𝑛𝐶𝑃 Δ𝑇 (B)</p> Signup and view all the answers

How much heat is required to raise the temperature of 2 moles of O2 from 0°C to 100°C if 𝐶𝑃 = 29.5 𝐽Τ𝑚𝑜𝑙.𝐾?

<p>5900 J (C)</p> Signup and view all the answers

Which of the following is an operational definition of temperature?

<p>Temperature is a physical quantity that can be measured using a thermometer. (B)</p> Signup and view all the answers

How does heat flow between objects in thermal contact?

<p>Heat flows from the object with higher temperature to the object with lower temperature. (A)</p> Signup and view all the answers

What is the formula for calculating the change in internal energy of an ideal gas?

<p>Δ𝑈 = 𝑄 − 𝑊 (B)</p> Signup and view all the answers

What happens when two bodies, one hot and one cold, are brought into thermal contact?

<p>The colder body will gain heat from the hotter body. (B)</p> Signup and view all the answers

What is the formula for calculating the molar heat capacity at constant volume (𝐶𝑉) for an ideal monatomic gas?

<p>𝐶𝑉 = 3𝑅 / 2 (C)</p> Signup and view all the answers

What is the formula for calculating the molar heat capacity at constant pressure (𝐶𝑃) for an ideal monatomic gas?

<p>𝐶𝑃 = 5𝑅 / 2 (B)</p> Signup and view all the answers

What is the key principle behind the Zeroth Law of Thermodynamics?

<p>Two objects in thermal equilibrium with a third object are also in thermal equilibrium with each other. (B)</p> Signup and view all the answers

Which of the following is a valid statement about the molar heat capacity of an ideal gas?

<p>The molar heat capacity is independent of the pressure. (B)</p> Signup and view all the answers

How much energy is transferred when 1.00 kg of water at 25.0 °C is heated to 30.0 °C?

<p>21000 J (D)</p> Signup and view all the answers

What happens to the internal energy of a system when heat is added at constant volume?

<p>It increases. (D)</p> Signup and view all the answers

In an isothermal process for an ideal gas, what is the change in internal energy?

<p>Zero. (C)</p> Signup and view all the answers

What is the relationship between heat added (Q) and work done (W) in an isothermal process?

<p>Q = W. (B)</p> Signup and view all the answers

Which of the following describes an isochoric process?

<p>A process at constant volume. (C)</p> Signup and view all the answers

During an isobaric process, how is the work done calculated?

<p>W = PΔV. (B)</p> Signup and view all the answers

According to the First Law of Thermodynamics, what does ΔU represent?

<p>The change in internal energy of the system. (B)</p> Signup and view all the answers

If a system does 200 J of work on the surroundings and absorbs 500 J of heat, what is the change in internal energy?

<p>300 J. (D)</p> Signup and view all the answers

What characterizes energy in thermodynamic processes with respect to its conservation?

<p>Energy is conserved in closed systems. (B)</p> Signup and view all the answers

What is the main characteristic of the process AB?

<p>Heated at constant volume. (B)</p> Signup and view all the answers

What is the value of QAB for the process AB?

<p>511 J (D)</p> Signup and view all the answers

Which statement is true regarding process DA?

<p>The temperature decreases to 200 K. (A)</p> Signup and view all the answers

What is the internal energy change ΔU for process AB?

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

What is the pressure at point C during the heating process BC?

<p>203 kPa (D)</p> Signup and view all the answers

What is the process that occurs after AB?

<p>Isobaric heating. (A)</p> Signup and view all the answers

What is the volume of the gas at point C?

<p>4 L (C)</p> Signup and view all the answers

Which of the following best describes the work done (W) during the process AB?

<p>W is zero since the volume is constant. (A)</p> Signup and view all the answers

What is the energy transfer calculated for the water?

<p>20,920 J (C)</p> Signup and view all the answers

Which temperature difference is used to calculate the energy transfer for aluminum?

<p>50.0°C (A)</p> Signup and view all the answers

How is the mass of the aluminum block determined using the energy gained by the water?

<p>By using the equation QAl = mAl Cp ΔT with known values (D)</p> Signup and view all the answers

What is the mass of the aluminum block calculated from the energy transfer?

<p>0.465 kg (D)</p> Signup and view all the answers

Which of the following values is the specific heat capacity of water?

<p>4184 J/kg°C (A)</p> Signup and view all the answers

To find the energy transferred to aluminum when it has a temperature difference of 50.0°C, what must you multiply?

<p>mass of aluminum and Cp of aluminum (A)</p> Signup and view all the answers

What value must be calculated first to solve for the mass of the aluminum block?

<p>Energy gained by water (C)</p> Signup and view all the answers

If the mass of water is doubled, how does it affect the energy transferred to water?

<p>It doubles the energy transfer (C)</p> Signup and view all the answers

What is the formula used to calculate heat transfer through conduction?

<p>$q = kA(T_1 - T_2)$ (D)</p> Signup and view all the answers

If the thermal conductivity of a material is 0.030 W/m·K and the heat load is 500W, what is the thickness of the styrofoam insulation needed?

<p>0.054 m (C)</p> Signup and view all the answers

Which type of convection is driven by buoyancy due to temperature differences?

<p>Natural Convection (C)</p> Signup and view all the answers

What is the convective heat transfer coefficient range for gases?

<p>25 to 250 W/m²·K (D)</p> Signup and view all the answers

In the equation $q = hA(T_s - T_∞)$, what does $T_s$ represent?

<p>The surface temperature of the object (A)</p> Signup and view all the answers

When calculating heat transfer through a wall, how is area ($A$) defined?

<p>The surface area exposed to the temperature gradient (B)</p> Signup and view all the answers

What is the heat transfer rate when a plate at 100°C is cooled by air at 25°C with a surface area of 2 m² and a convective heat transfer coefficient of 10 W/m²·K?

<p>200 W (B)</p> Signup and view all the answers

What factors influence the convective heat transfer coefficient ($h$)?

<p>Fluid temperature and density (B), Fluid velocity and surface roughness (C)</p> Signup and view all the answers

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Flashcards

First Law of Thermodynamics

Energy cannot be created or destroyed; it can only change forms.

Internal energy

Total energy contained within a system based on its state variables.

Isothermal process

A thermodynamic process that occurs at constant temperature.

Work done (W)

Energy transfer due to a force applied over a distance.

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Q = W

In an isothermal process, heat added equals work done.

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Isobaric process

A thermodynamic process that occurs at constant pressure.

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Isochoric process

A thermodynamic process that occurs at constant volume.

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Heat (Q)

Energy transferred due to temperature difference.

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Temperature

A physical quantity indicating how warm or cold an object is.

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Heat

Energy transferred from a hot body to a cold body.

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Thermal Equilibrium

Condition when two bodies reach the same temperature after heat flow stops.

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Zeroth Law of Thermodynamics

If A and C are in equilibrium, and B and C are in equilibrium, then A and B are in equilibrium.

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Thermal Contact

Condition under which heat can flow between two objects.

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Third Body in Thermodynamics

A body that serves as a measure of temperature, like a thermometer.

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Operational Definition of Temperature

Temperature defined by thermal contact and energy transfer observations.

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Scalar Quantity

A physical quantity that has only magnitude, not direction, like temperature.

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Heat Transfer Rate (q)

The rate at which heat energy is transferred, measured in watts (W).

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Conductive Heat Transfer

Heat transfer through materials due to temperature differences without fluid movement.

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Thermal Conductivity (k)

A measure of a material's ability to conduct heat, expressed in W/m·K.

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Convection

Heat transfer through the movement of fluids (liquids or gases).

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Natural Convection

Heat transfer due to buoyancy effects caused by temperature differences in a fluid.

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Forced Convection

Heat transfer enhanced by external forces like fans or pumps.

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Newton’s Law of Cooling

Describes how the heat transfer rate depends on temperature differences and fluid properties.

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Convective Heat Transfer Coefficient (h)

A measure of the convective heat transfer ability of a fluid, expressed in W/m²·K.

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Molar heat capacity (C)

Heat absorbed per mole per degree Celsius change.

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Specific heat at constant pressure (Cₚ)

Heat capacity needed to raise temperature at constant pressure.

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Specific heat at constant volume (Cᵥ)

Heat capacity needed to raise temperature at constant volume.

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Energy transfer calculation

Process of determining heat exchange in temperature change situations.

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Heat transfer in gases

Model used to quantify heat exchange in ideal gases under changes in temperature.

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Change in internal energy (ΔU)

The overall change in a system's internal energy due to heat and work.

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ΔU (Change in Internal Energy)

The change in internal energy for a gas during a thermodynamic process.

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Heat Transfer (Q)

The amount of energy transferred due to temperature difference in a thermodynamic process.

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Work (W)

The energy transferred when a force is applied over a distance, often in gas expansion or compression.

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Constant Volume Heating

Heating a gas while maintaining its volume, resulting in increased temperature.

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Constant Pressure Heating

Heating a gas while keeping the pressure constant, causing volume to increase.

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Change in U along BC (ΔUBC)

The change in internal energy for the process BC, calculated using n, CV, and ΔT.

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Volume at Point C (VC)

The volume of gas at point C, calculated from the ideal gas law at given temperature and pressure.

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Mass of water

The amount of water used in the calculations, measured as 1 kg.

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Specific heat capacity of water (Cp)

The amount of energy required to raise the temperature of 1 kg of water by 1°C, which is 4184 J/kg°C.

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Temperature change for water (ΔT)

The difference in temperature for water calculated as 5.0°C from 30.0°C to 25.0°C.

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Specific heat capacity of aluminum (Cp)

The amount of energy needed to raise the temperature of 1 kg of aluminum by 1°C, which is 900 J/kg°C.

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Temperature change for aluminum (ΔT)

The difference in temperature for aluminum calculated as 50.0°C from 80.0°C to 30.0°C.

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Energy transferred (Q)

Energy gained or lost during a temperature change, calculated for water as Qwater = 20,920 J.

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Mass of aluminum (mAl)

The mass of the aluminum block calculated using its energy loss, found to be 0.465 kg.

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Ideal gas law

A formula that relates pressure, volume, temperature, and moles of a gas, expressed as PV = nRT.

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Study Notes

Chapter 9: Heat and Thermodynamics

  • Thermodynamics is the study of the effects of work, heat and energy on a system.
  • A thermodynamic system is a definite quantity of matter contained within defined boundaries and everything outside of these boundaries are called the surroundings.
  • Systems can exchange energy with surroundings via heat and/or work.
  • Heat is the energy in transfer from a hot to a cold body.
  • Objects are in thermal contact if heat can flow between them.
  • Eventually, thermal energy will stop flowing between systems in contact when they reach thermal equilibrium.
  • This means the objects will be at the same temperature.
  • Temperature is a scalar quantity that has the same value for objects in thermal equilibrium.
  • It is an operational definition that tells us how warm or cold an object is.
  • A thermometer is an instrument used to quantitatively measure the temperature of a body.
  • The zeroth law of thermodynamics states that if objects A and B are each in thermal equilibrium with a third object C, then A and B will be in thermal equilibrium with each other if placed in contact.

The Concept of Temperature and Heat

  • Temperature is a physical quantity that tells us how warm or cold an object is.
  • Qualitatively, temperature is based on our senses e.g. hot, warm, cold.
  • Our senses can be misleading and inaccurate.
  • An operational definition of temperature is required
  • A thermally isolated system will not exchange energy with the surroundings.
  • Using two isolated systems that are different temperatures gives us a way to define temperature.

Thermal Energy (Heat) versus Temperature

  • Thermal energy (heat) is kinetic energy in transit due to a temperature difference.
  • Thermal energy is measured in calories or joules.
  • Any object above absolute zero has thermal energy.
  • Temperature is the average kinetic energy of particles, not the total amount of kinetic energy.
  • Temperature is measured in degrees Celsius (°C), Fahrenheit (°F), or Kelvin (K)
  • Absolute zero is 0 Kelvin.

Thermodynamic Systems

  • Open system: Matter and heat can cross the boundary.
  • Closed system: Matter cannot cross the boundary, but heat can.
  • Isolated system: Neither matter nor heat can cross the boundary.

Work - Mechanical Energy Transfer

  • Work done by an expanding gas (change in volume):
  • W = -FAs = PA∆s = PAV
  • Work done depends on the thermodynamic process.
  • Work done is path dependent and equals the area bounded by a P-V curve (Pressure-Volume curve).

Internal Energy of a Thermodynamic System

  • Internal energy of a system is the sum of all kinetic and potential energies of the atoms or molecules in the system.

The First Law of Thermodynamics

  • The first law of thermodynamics is a statement of conservation of energy.
  • ΔU = Q - W (change in internal energy = heat - work).
  • If the volume is constant, and heat is added, the internal energy increases.
  • If work is done on the external world, and the system doesn't gain heat, the internal energy of the system will decrease.

Tables - Signs and Q or W.

  • Summarising what 'Q positive' means and other key points.

Processes in Thermodynamics

  • Isothermal process:
  • Takes place at constant temperature.
  • Adiabatic process:
  • No heat transfer.
  • Isobaric process:
  • Constant pressure.
  • Isochoric process:
  • Constant volume.
  • Any heat or work entering or leaving a system can be calculated based on thermodynamic processes.

Other Processes in Thermodynamics

  • Reversible process: A series of equilibrium states.
  • Cyclic process: The initial and final states are the same.
  • The internal energy for closed cycles is always zero.
  • Work and heat in these processes depend on the process itself.

Specific Heats for an Ideal Gas

  • Defined as the heat required to raise the temperature of 1 mole of a substance by 1°C, at constant pressure or constant volume.
  • Specific heats at constant pressure (Cp) and constant volume (Cv) must be measured at these conditions.

Calculating Energy Transfer

  • Energy transferred is calculated using the equation Q= mCpΔT.
  • Work is a key term involved in energy transfer and depends on the process being used to transfer the energy.
  • Heat flow between objects can be determined.

Modes of Heat Transfer

  • Conduction: Heat transfer through a solid or between solids in direct contact due to molecular collisions. It requires a temperature gradient.
  • Convection: Heat transfer due to the bulk movement of a fluid (liquid or gas). it is driven by buoyancy or external forces like fans.
  • Radiation: Heat transfer via electromagnetic waves, which doesn't require a medium. It depends on temperature and surface properties.

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