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10TH GRADE · THERMODYNAMICS

Thermal processes and efficiency

Heating, phase transitions, adiabatic process and heat engine.

28 minutes21 theory cards
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LESSON MATERIAL

Basic Concepts

4

Heat transfer

Transfer of internal energy between bodies without performing mechanical work on macroscopic movement.

Energy is spontaneously transferred from a hotter body to a colder body by conduction, convection or radiation.

Phase transition

Transition of matter between states of aggregation.

During melting or boiling, the supplied energy changes the relative positions of the particles, so the temperature usually remains constant.

Adiabatic process

A process without heat exchange between the system and the environment.

Here Q = 0: temperature and internal energy change only due to work on the gas or work on the gas.

Heat engine

A device that cyclically converts part of the received heat into mechanical work.

The machine receives heat from the heater, converts some of it into work, and gives the rest to the refrigerator - therefore, the efficiency is always less than 100%.

LESSON MATERIAL

Physical quantities

10

Specific heat capacity

cc

Heat to change the temperature of a unit mass by one degree.

Unit: joule per kilogram kelvin · DzhkgK\frac{\mathrm{Dzh}}{\mathrm{kg}\cdot\mathrm{K}}

Temperature change

Δt\Delta t

Difference between final and initial temperatures.

Unit: degrees Celsius · C{}^\circ\mathrm{C}

Specific heat of combustion

qq

The heat released during complete combustion of a unit mass of fuel.

Unit: joule per kilogram · Dzhkg\frac{\mathrm{Dzh}}{\mathrm{kg}}

Specific heat of fusion

λ\lambda

Heat to melt a unit mass at the melting point.

Unit: joule per kilogram · Dzhkg\frac{\mathrm{Dzh}}{\mathrm{kg}}

Specific heat of vaporization

rr

The heat required to convert a unit mass of liquid into vapor at its boiling point.

Unit: joule per kilogram · Dzhkg\frac{\mathrm{Dzh}}{\mathrm{kg}}

Heat engine efficiency

η\eta

The fraction of the heater's heat converted into useful work.

Unit: dimensionless quantity

Heater heat

Q1Q_1

Energy received by the working fluid from the heater.

Unit: joule · Dzh\mathrm{Dzh}

Refrigerator warmth

Q2Q_2

Energy transferred by the working fluid to the refrigerator.

Unit: joule · Dzh\mathrm{Dzh}

Heater temperature

T1T_1

Absolute temperature of the hot reservoir.

Unit: kelvin · K\mathrm{K}

Refrigerator temperature

T2T_2

Absolute temperature of the cold reservoir.

Unit: kelvin · K\mathrm{K}

LESSON MATERIAL

Lesson formulas

7

Warmth when heating

Q=mcΔtQ=mc\Delta t

The amount of heat is equal to the product of mass, specific heat capacity and temperature change.

Heat of combustion

Q=mqQ=mq

When fuel burns completely, heat is released that is proportional to its mass.

Heat of Melting

Q=mλQ=m\lambda

The heat of fusion at a constant temperature is proportional to the mass of the substance.

Heat of vaporization

Q=mrQ=mr

The heat of vaporization at a constant temperature is proportional to the mass of the liquid.

First law for the adiabatic process

Q=0,ΔU=AQ=0,\quad\Delta U=A\prime

Without heat exchange, internal energy changes only due to the work of external forces.

Condition: There is no heat exchange with the environment.

Heat engine efficiency

η=AQ1=Q1Q2Q1\eta=\frac{A}{Q_1}=\frac{Q_1-Q_2}{Q_1}

Efficiency is equal to the ratio of useful work to the heat of the heater.

Efficiency of an ideal Carnot machine

η=T1T2T1\eta=\frac{T_1-T_2}{T_1}

The maximum efficiency of a reversible machine is determined by the temperatures of the heater and refrigerator.

DIRECTORY

Related formulas

PRACTICE

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