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16 May, 19:28

For the following gases, correct the volumes to the conditions indicated. A. 654 cm3 at 6 degrees Celsius and 65.3 kPa to 4 degrees Celsius and 108.7 kPa

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  1. 16 May, 20:30
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    Initial pressure of the gas = 65.3 kPa

    Initial volume of the gas = 654 cm³

    Initial temperature of the gas = 6⁰C = 273 + 6 = 279 K

    Final pressure of the gas = 108.7 kPa

    Final temperature of the gas = 4⁰C = 273 + 4 = 277 K

    Using the combined gas law for ideal gases:

    P₁V₁/T₁ = P₂V₂/T₂

    where P₁, V₁ and T₁ are the pressure, volume and temperature for the initial state and P₂, V₂ and T₂ are the pressure, volume and temperature for the final state.

    Plugging the given data into the combined gas law we have,

    (65.3 kPa x 654 cm³) / (279 K) = (108.7 kPa x V₂) / (277 K)

    V₂ = (65.3 kPa x 654 cm³ x 277 K) / (279 K x 108.7 kPa)

    V₂ = 390.1 cm³
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