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13 September, 15:56

Students asked to measure the temperature of a reaction beaker recorded the following temperatures. 103.7°C, 108.4°C, 105.8°C, 104.6°C The actual temperature is 105.1°C. Which measurement is the most precise

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  1. 13 September, 17:49
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    The measurement which is the most precise is 104.6 °C.

    Explanation:

    The measurement which is most precise must be very close to the actual value of the temperature.

    Thus, the unit which have less value of the |Δx| (error) must be most precise.

    Thus,

    Actual value = 105.1 °C

    Value = 103.7 °C

    |Δx| = 1.4 °C

    Value = 108.4 °C

    |Δx| = 3.3 °C

    Value = 105.8 °C

    |Δx| = 0.7 °C

    Value = 104.6 °C

    |Δx| = 0.5 °C

    Thus, The measurement which is the most precise is 104.6 °C.
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