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7 June, 06:22

A student calculates the density of iron as 6.8 g/cm3 using lab data for mass and volume. A handbook reveals that the correct value is 7.39 g/cm3. What is the percent error?

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  1. 7 June, 06:40
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    7.983761 %

    Explanation:

    Step 1: What is percent error?

    ⇒Percent error is calculated using the following formula:

    ⇒% error = | Experimental value-theoretical value/theoretical value | x 100%

    ⇔ this can be written as well as : error = (| Experimental value / theoretical value | - | Theoretical value / Theoretical value |) * 100%

    ⇒ which, after simplifying, will become:

    %error = (| Experimental value - theoretical value - 1 |) x 100%

    For this case, this means:

    %error = (|6.8 g/cm³ - 7.39g/cm³ - 1 |) x100%

    %error = | 0.92016238 - 1 | x100%

    %error = |-0.07983761 | x100%

    %error = 0.07983761 x100%

    %error = 7.983761 %

    The %error is 7.983761 %
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