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21 April, 07:11

At 570. mm Hg and 25°C, a gas sample ne (in mm Hg) at a volume of 1250 mL and a temperature of 175°C and 25°C, a gas sample has a volume of 2270 mL. What is the final pressure

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  1. 21 April, 09:38
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    final pressure (P2) = 467.37 mm Hg

    Explanation:

    ideal gas:

    PV = nRT

    ∴ P1 = 570 mm Hg * (atm / 760 mm Hg) = 0.75 atm

    ∴ T1 = 25 ° C = 298 K

    ∴ V1 = 1.250 L

    ∴ R = 0.082 atm L / K mol

    ⇒ n = P1*V1 / R*T1

    ⇒ n = ((0.75) * (1.25)) / ((0.082) * (298))

    ⇒ n = 0.038 mol gas

    ∴ T2 = 175 °C (448 K)

    ∴ V2 = 2.270 L

    ⇒ P2 = nRT2 / V2

    ⇒ P2 = ((0.038) * (0.082) * (448)) / 2.270

    ⇒ P2 = 0.615 atm * (760 mm Hg / atm) = 467.37 mm Hg
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