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9 April, 19:05

If a gaseous mixture is made by combining 1.55 g Ar and 1.80 g Kr in an evacuated 2.50 L container at 25.0 ∘ C, what are the partial pressures of each gas, P Ar and P Kr, and what is the total pressure, P total, exerted by the gaseous mixture

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  1. 9 April, 19:24
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    Partial Pressure Ar = 0.379 atm

    Partial Pressure Kr = 0.210 atm

    P total = 0.589 atm

    Explanation:

    First let's convert the masses of both gases to moles, using their respective atomic weight:

    1.55 g Ar : 39.948 g/mol = 0.0388 mol Ar 1.80 g Kr : 83.798 g/mol = 0.0215 mol Kr

    Now we can calculate the partial pressure of each gas, using PV = nRT:

    25 °C ⇒ 25+273.16 = 298.16 K Ar ⇒ P * 2.50 L = 0.0388 * 0.082 atm·L·mol⁻¹·K⁻¹ * 298.16 K

    P = 0.379 atm

    Kr ⇒ P * 2.50 L = 0.0215 * 0.082 atm·L·mol⁻¹·K⁻¹ * 298.16 K

    P = 0.210 atm

    Finally, the total pressure is the sum of the partial pressure of each gas:

    Total Pressure = 0.379 atm + 0.210 atm = 0.589 atm
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