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25 April, 18:44

The mass flow rate of gasoline leaving a refinery is 1610 kg/min. The specific gravity of a gasoline is 0.700.

A retail gasoline pump is able to fill a 20.0 gallon automobile tank in 1.80 minutes. What is the mass flow rate deliverd by the gasoline pump in lbm/min?

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  1. 25 April, 18:53
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    mass flow = 64.9086 Lbm/min

    Explanation:

    SG = 0.700 = ρ gas / ρ H2O

    ∴ ρ H2O = 1000 Kg/m³

    ⇒ ρ gas = 700 Kg/m³

    ∴ F auto tank = 20.0 gal / 1.8 min = 11.11 gal/min * (m³/264.172 gal)

    ⇒ F auto = 0.042 m³/min

    ⇒ mass flow = 0.042 m³/min * (700 Kg/m³) * (2.20462 Lbm / Kg)

    ⇒ mass flow = 64.9086 Lbm/min
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