OCR · A-Level · Physics

    Course version: H556 · Version from Sept 2015

    (iii) an estimation of absolute zero using variation of gas temperature…

    Full specification wording

    Ideal gases: (iii) an estimation of absolute zero using variation of gas temperature with pressure

    Absolute zero is estimated by measuring the pressure of a fixed mass of gas at constant volume as its temperature is varied.

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

    • Point 5 of 10
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Absolute zero is estimated by measuring the pressure of a fixed mass of gas at constant volume as its temperature is varied. Temperatures must be converted to kelvin. A graph of pressure p against thermodynamic temperature T is a straight line; extrapolating it to p = 0 gives the intercept on the T-axis, which is absolute zero (0 K or −273 °C). Alternatively, plot p against temperature in degrees Celsius; the intercept on the temperature axis is −273 °C. The method assumes the gas behaves ideally and does not liquefy. In a multiple-choice question, you may be asked to identify the correct graph, the value of absolute zero, or the effect of a systematic error such as a leak.

    What earns the marks

    • State that pressure is measured at constant volume for a fixed mass of gas.
    • Convert Celsius temperatures to kelvin by adding 273.
    • Plot a graph of pressure against temperature in kelvin.
    • Extrapolate the straight line to p = 0 to find absolute zero.
    • Recognise that the intercept on the temperature axis is approximately −273 °C.
    • Identify that a leak or change in gas mass would invalidate the extrapolation.

    Common mistakes and how to put them right

    • Using degrees Celsius directly on the temperature axis when the graph should be in kelvin.

      Put it right: Convert to kelvin first.

    • Assuming the graph passes through the origin when using Celsius.

      Put it right: The intercept is at −273 °C, not 0 °C.

    • Ignoring the dead volume of connecting tubes, which makes the measured pressure not directly proportional to temperature.

    • Extrapolating beyond the range of data without checking linearity.

      Put it right: The gas may liquefy at low temperatures.

    Exam tips

    • Check the units on the axes; if temperature is in °C, the intercept is −273 °C, but if in K, the intercept is 0 K.
    • Remember that absolute zero is the temperature at which pressure would be zero for an ideal gas.
    • In multiple-choice questions, eliminate options that use Celsius without conversion or that give a positive intercept.

    Try the lesson

    The start of the Ideal gases: (iii) an estimation of absolute zero using variation of gas temperature with pressure lesson, made from checked teaching notes for this specification point.

    Listen

    Absolute zero is estimated by measuring the pressure of a fixed mass of gas at constant volume as its temperature is varied. Temperatures must be converted to kelvin. A graph of pressure p against thermodynamic temperature T is a straight line; extrapolating it to p = 0 gives the intercept on the T-axis, which is absolute zero (0 K or −273 °C). Alternatively, plot p against temperature in degrees Celsius; the intercept on the temperature axis is −273 °C. The method assumes the gas behaves ideally and does not liquefy. In a multiple-choice question, you may be asked to identify the correct graph, the value of absolute zero, or the effect of a systematic error such as a leak. A strong answer earns marks for these points. State that pressure is measured at constant volume for a fixed mass of gas. Convert Celsius temperatures to kelvin by adding 273. Plot a graph of pressure against temperature in kelvin. Extrapolate the straight line to p = 0 to find absolute zero. Exam tip: Check the units on the axes; if temperature is in °C, the intercept is −273 °C, but if in K, the intercept is 0 K.

    Key words

    Say what each word means before you turn the card.

    Absolute zero

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    Pressure–temperature relationship

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    Graph extrapolation

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    Kelvin scale

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    See every definition
    Absolute zero
    The temperature at which pressure would be zero for an ideal gas, found as the intercept on the T-axis when the line is extrapolated to p = 0 (0 K or −273 °C).
    Pressure–temperature relationship
    Measuring the pressure of a fixed mass of gas at constant volume as its temperature is varied gives a straight line when pressure is plotted against thermodynamic temperature.
    Graph extrapolation
    Extending the straight line to p = 0 gives the intercept on the T-axis, which is absolute zero.
    Kelvin scale
    Celsius temperatures are converted to kelvin by adding 273, and the graph of pressure against temperature in kelvin is a straight line.

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