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22 March, 06:30

When 2.4 g zinc is added to hydrochloric acid, 450 ml of hydrogen gas form at a temperature of 32 C what is the pressure of the gas

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  1. 22 March, 07:56
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    First we need to find the number of moles of hydrogen gas formed

    Zn + 2HCl - - - > ZnCl₂ + H₂

    stoichiometry of Zn to H₂ is 1:1

    the number of Zn moles reacted - 2.4 g / 65.4 g/mol = 0.0367 mol

    assuming Zn to be the limiting reactant

    number of Zn moles reacted = number of H₂ moles formed

    therefore number of H₂ moles formed = 0.0367 mol

    we can use ideal gas law equation to find the pressure

    PV = nRT

    P - pressure

    V - Volume - 450 x 10⁻⁶ m³

    n - number of moles - 0.0367 mol

    R - universal gas constant - 8.314 Jmol⁻¹K⁻¹

    T - temperature - 32 °C + 273 = 305 K

    substituting these values in the equation

    P x 450 x 10⁻⁶ m³ = 0.0367 mol x 8.314 Jmol⁻¹K⁻¹ x 305 K

    P = 206.8 kPa

    pressure is 206.8 kPa
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