A 2.50-kg steel gasoline can holds 20.0 L of gasoline when full. What is the average density of the full gas can, taking into account the vo

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A 2.50-kg steel gasoline can holds 20.0 L of gasoline when full. What is the average density of the full gas can, taking into account the volume occupied by steel as well as by gasoline?

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Kiệt Gia 4 years 2021-08-27T19:18:00+00:00 1 Answers 86 views 0

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  1. nguyetanh
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    2021-08-27T19:19:56+00:00
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    Answer:

    The average density of the full gas can is 874~Kg~m^{-3}, assuming the standard density of gasoline to be 748.9~Kg~m^{-3}.

    Explanation:

    Given the mass of the can (m_{C}) is 2.5 Kg and the volume (V) occupied by gasoline is 20 L. Assuming the standard density of gasoline (\rho_{g}) to be 748.9 Kg~m^{-3}, if ‘m_{g}‘ be the mass of the gasoline occupied in the entire can, then

    m_{g} = \rho_{g} \tomes V = 748.9 Kg~m^{-3} \times 20~L = 748.9 Kg~m^{-3} \times 20 \times 10^{-3}~m^{3} = 14.98 Kg

    If ‘\rho‘ be the average density of the full gas can, then

    \rho = \dfrac{Total~mass}{Total~volume} = \dfrac{m_{C} + m_{g}}{V} = \dfrac{(2.5 + 14.98)~Kg}{20 \times 10^{-3}~m^{3}} = 874~Kg~m^{-3}

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