OCR · A-Level · Physics

    Course version: H556 · Version from Sept 2015

    Temperature: (d) T(K) ≈ θ(°C) + 273

    The relationship T(K) ≈ θ(°C) + 273 allows you to convert a temperature from degrees Celsius to kelvin.

    Checked against the OCR H556 specification (opens in a new tab) on .

    • Point 4 of 4

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    The relationship T(K) ≈ θ(°C) + 273 allows you to convert a temperature from degrees Celsius to kelvin. Here, T is the thermodynamic temperature in kelvin and θ is the Celsius temperature. The approximation is used because the exact offset is 273.15, but for many calculations 273 is sufficient. For example, 20 °C is approximately 293 K. To convert from kelvin to Celsius, rearrange the equation: θ(°C) ≈ T(K) − 273. Always check the direction of conversion and whether the question expects the approximate or exact value.

    What earns the marks

    • The equation T(K) ≈ θ(°C) + 273 converts a Celsius temperature to kelvin.
    • T represents the thermodynamic temperature in kelvin and θ represents the Celsius temperature.
    • The approximation uses 273 instead of the exact 273.15.
    • To convert from kelvin to Celsius, rearrange to θ(°C) ≈ T(K) − 273.
    • A temperature change of 1 °C equals a temperature change of 1 K, so the equation also applies to temperature differences.

    Common mistakes and how to put them right

    • Misunderstanding: to convert from kelvin to Celsius, add 273.

      Put it right: Subtract 273, so θ(°C) ≈ T(K) − 273.

    • Misunderstanding: the equation gives an exact conversion.

      Put it right: It is an approximation because the exact offset is 273.15.

    • Misunderstanding: the equation cannot be used for temperature differences.

      Put it right: Because 1 °C equals 1 K, the same numerical difference applies.

    Exam tips

    • Write down the equation and substitute values carefully, checking the direction of conversion.
    • Remember that the approximation is usually acceptable unless the question specifies otherwise.
    • For temperature differences, no conversion factor is needed; the numerical value is the same in °C and K.

    Try the lesson

    The start of the Temperature: (d) T(K) ≈ θ(°C) + 273 lesson, made from checked teaching notes for this specification point.

    Listen

    The relationship T(K) ≈ θ(°C) + 273 allows you to convert a temperature from degrees Celsius to kelvin. Here, T is the thermodynamic temperature in kelvin and θ is the Celsius temperature. The approximation is used because the exact offset is 273.15, but for many calculations 273 is sufficient. For example, 20 °C is approximately 293 K. To convert from kelvin to Celsius, rearrange the equation: θ(°C) ≈ T(K) − 273. Always check the direction of conversion and whether the question expects the approximate or exact value. A strong answer earns marks for these points. The equation T(K) ≈ θ(°C) + 273 converts a Celsius temperature to kelvin. T represents the thermodynamic temperature in kelvin and θ represents the Celsius temperature. The approximation uses 273 instead of the exact 273.15. To convert from kelvin to Celsius, rearrange to θ(°C) ≈ T(K) − 273. A common slip: Misunderstanding: to convert from kelvin to Celsius, add 273. Instead, subtract 273, so θ(°C) ≈ T(K) − 273. Exam tip: Write down the equation and substitute values carefully, checking the direction of conversion.

    See it

    A flowchart with two linked conversions. At the top, a box labelled 'Celsius temperature θ(°C)' has an arrow labelled 'add 273' pointing down to a box labelled 'Thermodynamic temperature T(K)'. A second arrow labelled 'subtract 273' points back from the kelvin box to the Celsius box, showing the rearrangement. Below these, a separate pair of boxes shows a box labelled 'Temperature difference in °C' with an arrow labelled '1 °C equals 1 K' pointing to a box labelled 'Same numerical difference in K'.
    Shows how to convert between Celsius and kelvin using T(K) ≈ θ(°C) + 273 and its rearrangement, and that a temperature difference is the same number in °C and K.

    Label the diagram

    Some boxes have lost their names. Pick the right name for each number.

    The diagram again, with 2 boxes numbered instead of named. A flowchart with two linked conversions. At the top, a box labelled 'Celsius temperature θ(°C)' has an arrow labelled 'add 273' pointing down to a box labelled 'Thermodynamic temperature T(K)'. A second arrow labelled 'subtract 273' points back from the kelvin box to the Celsius box, showing the rearrangement. Below these, a separate pair of boxes shows a box labelled 'Temperature difference in °C' with an arrow labelled '1 °C equals 1 K' pointing to a box labelled 'Same numerical difference in K'.
    • 1Box 1

    • 2Box 2

    0 of 2 labelled

    There is more to this lesson

    The full lesson goes on to check your understanding and help you earn the marks. Create a free account to carry on, with your progress saved.

    Carry on with the full lesson

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge

    Test your understanding of Temperature: (d) T(K) ≈ θ(°C) + 273

    Active recall beats re-reading. Take an instant quiz now to test what you’ve learned and lock it into long-term memory.

    Take topic quiz

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge