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Understanding Temperature and Heat Capacity
2020-09-10
2026-03-08

Definition of Temperature#

NOTE

Temperature is a measure of degree of hotness of an object. (Oxford NSS Physics TB 2nd edition, 2014)

 

Thermometer#

Type of Thermometers#

  • Infrared thermometer

  • Resistance thermometer

  • Mercury-in-glass thermometer

Thermometer Calibration#

Thermometer calibration ensures accurate temperature measurement. It involves adjusting a thermometer to match a known standard.

Steps for Calibration:#

  1. Ice Point Calibration (0°C)

    • Place the thermometer in a mixture of crushed ice and water.

    • Wait for it to stabilize, then adjust if needed to read 0°C.

  2. Boiling Point Calibration (100°C)

    • Place the thermometer in boiling water (at sea level).

    • Ensure it reads 100°C; adjust if necessary.

  3. Using a Reference Thermometer

    • Compare readings with a calibrated standard thermometer at different temperatures.
  4. Adjust and Record

    • If there is a deviation, apply a correction factor.

    • Document the calibration results for future reference.

 

Heat Capacity#

Heat Capacity (C)#

Q=CΔTQ = C \Delta T

where

  • QQ = Heat Energy (Unit: JJ)

  • CC = Heat Capacity (Unit: JK1J K⁻¹ / J°C1J °C⁻¹)

Specific Heat Capacity (c)#

Q=mcΔTQ = mc \Delta T

where

  • QQ = Heat Energy (Unit: JJ)

  • cc = Specific Heat Capacity (Unit: Jkg1J kg⁻¹ K1K⁻¹ / Jkg1J kg⁻¹ °C1°C⁻¹)

  • mm = mass of an object (unit: kg)

  • ΔTΔT = change in temperature (unit: °C)

WARNING

The letter ‘c’ in specific heat capacity must always be lowercase!

Molar Heat Capacity (Cₘ)#

Q=nCmΔTQ = nCₘ \Delta T

where

  • QQ = Heat Energy (Unit: JJ)

  • CmCₘ = Molar Heat Capacity (Unit: Jmol1K1J mol⁻¹ K⁻¹ / Jmol1°C1J mol⁻¹ °C⁻¹)

  • nn = number of moles of a substance (unit: mol)

  • ΔTΔT = change in temperature (unit: °C)

 

Heat Capacity vs. Specific Heat Capacity#

  • Heat Capacity (C) is an extensive property that depends on the amount of substance. It is the total heat energy required to raise the temperature of an object by 1 degree Celsius or 1 Kelvin.

  • Specific Heat Capacity (c) is an intensive property that does not depend on the amount of substance. It is the heat energy required to raise the temperature of 1 kilogram of a substance by 1 degree Celsius or 1 Kelvin.

The relationship between heat capacity and specific heat capacity can be expressed as: C=mcC = mc

where

  • CC = Heat Capacity (Unit: JK1J K⁻¹ / J°C1J °C⁻¹)

  • mm = mass of an object (unit: kg)

  • cc = Specific Heat Capacity (Unit: Jkg1K1J kg⁻¹ K⁻¹ / Jkg1°C1J kg⁻¹ °C⁻¹)

 

Heat Capacity vs. Molar Heat Capacity#

  • Heat Capacity (C) is an extensive property that depends on the amount of substance. It is the total heat energy required to raise the temperature of an object by 1 degree Celsius or 1 Kelvin.

  • Molar Heat Capacity (Cₘ) is an intensive property that does not depend on the amount of substance. It is the heat energy required to raise the temperature of 1 mole of a substance by 1 degree Celsius or 1 Kelvin.

The relationship between specific heat capacity and molar heat capacity can be expressed as:

Cm=cMCₘ = c \cdot M

where

  • CmCₘ = Molar Heat Capacity (Unit: Jmol1K1J mol⁻¹ K⁻¹ / Jmol1°C1J mol⁻¹ °C⁻¹)

  • cc = Specific Heat Capacity (Unit: Jkg1K1J kg⁻¹ K⁻¹ / Jkg1°C1J kg⁻¹ °C⁻¹)

  • MM = Molar Mass of the substance (Unit: kgmol1kg mol⁻¹)

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Understanding Temperature and Heat Capacity
https://moe.lolicon.io/posts/physics/temperature-and-heat-capacity/
作者
ホシノ ゆき
發布於
2020-09-10
授權條款
CC BY-NC-SA 4.0

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