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30 January, 18:51

a sample of 3.00 g of so2 (g) originally in a 5.00 L vesselat 21 degee Celsius is transferred to a 10.0 L vessel at 26 degree Celsius a sample of 2.35g of N2 g originally in a 25.0 L vessel at 20 degree Celsius is transferred to same 10.0 L vessel what is the partial pressure of so2 g in the larger container? what is the partial pressure of N2 g in this vessel? what is the total pressure in the vessel?

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  1. 30 January, 19:01
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    1) The partial pressure of SO₂ gas in the larger container = 0.115 atm.

    2) The partial pressure of N₂ gas in the larger container = 0.206 atm.

    3) The total pressure in the vessel = 0.321 atm.

    Explanation:

    To calculate the partial pressure of each gas, we can use the general law of ideal gas: PV = nRT.

    where, P is the partial pressure of the gas in atm,

    V is the volume of the vessel in L,

    n is the no. of moles of the gas,

    R is the general gas constant (R = 0.082 L. atm/mol. K),

    T is the temperature of the gas in K.

    1) What is the partial pressure of SO₂ gas in the larger container?

    ∵ P = nRT/V.

    n = mass/molar mass = (3.0 g) / (64.066 g/mol) = 0.047 mol.

    R = 0.082 L. atm/mol. K.

    T = 26 °C + 273.15 = 299.15 K.

    V = 10.0 L. (The volume of the new container)

    ∴ P = nRT/V = (0.047 mol) (0.082 L. atm/mol. K) (299.15 K) / (10.0 L) = 0.115 atm.

    2) What is the partial pressure of N₂ gas in the larger container?

    ∵ P = nRT/V.

    n = mass/molar mass = (2.35 g) / (28.0 g/mol) = 0.084 mol.

    R = 0.082 L. atm/mol. K.

    T = 26 °C + 273.15 = 299.15 K.

    V = 10.0 L. (The volume of the new container)

    ∴ P = nRT/V = (0.084 mol) (0.082 L. atm/mol. K) (299.15 K) / (10.0 L) = 0.206 atm.

    3) What is the total pressure in the vessel?

    According to Dalton's law the total pressure exerted is equal to the sum of the partial pressures of the individual gases.

    ∵ The total pressure in the vessel = the partial pressure of SO₂ + the partial pressure of N₂.

    ∴ The total pressure in the vessel = 0.115 + 0.206 = 0.321 atm.
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