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12 May, 03:11

The volumetric flow rate of aniline is 1500 cm/min. What is the mass flow rate in g/sec? What is the molar flow rate in kmol/min? (2) The volumetric flow rate of a 4M ammonium nitrate aqueous solution is 450 m/hr. The specific gravity of the solution is 1.54 What is the mass fraction of ammonium nitrate?

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  1. 12 May, 04:59
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    1) a) mass flow = 25.543 g/s

    b) molar flow = 0.0165 Kmol/min

    2) X NH4NO3 = 0.208

    Explanation:

    ∴ ρaniline = 1.0217 g/cm³

    ⇒ mass flow = 1500 cm³/min * 1.0217 g/cm³ * min/60s

    ⇒ mass flow = 25.543 g/s

    b) molar flow:

    ∴ Mw aniline = 93.13 g/mol

    ⇒ molar flow = (25.543 g/s) * (mol / 93.13g) * (Kmol / 1000 mol) * (60 s/min)

    ⇒ molar flow = 0.0165 Kmol/min

    2) vol. flow = 450 m³/h

    ∴ ρr = 1.54 = ρNH4NO3 / ρH2O

    ∴ ρH2O = 1 g/mL = 1000 Kg/m³

    ⇒ ρNH4NO3 = 1.54 * (1000 Kg/m³) = 1540 Kg/m³

    ⇒ mass flow NH4NO3 = 1540 Kg/m³ * 450 m³/h = 693000 Kg/h

    ∴ C NH4NO3 = 4 M = 4 mol/L * (1000 L/m³) = 4000 mol/m³

    ∴ Mw NH4NO3 = 80.043 g/mol

    ⇒ volumetric mass NH4NO3 (aq) = 4000 mol/m³ * 80.043 g/mol = 320172 g/m³ = 320.17 Kg/m³

    ∴ mass flow NH4NO3 (aq) = 320.17 Kg/m³ * 450 m³/h = 144077.4 Kg/h

    ⇒ mass fraction (X) = mass flow NH4NO3 (aq) / mass flow NH4NO3

    ⇒ X = 144077.4 / 693000

    ⇒ X = 0.208
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