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14 June, 12:48

A sample of nitrogen gas had a volume of 500. ml, a pressure in its closed container of 740 torr and a temperature 25 degrees c of what was the new volume of the gas when the temperature was changed to and the new pressure was

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  1. 14 June, 13:14
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    Question:

    A sample of nitrogen gas had a volume of 500mL, a pressure in its closed container of 740 torr and a temperature of 25°c. what was the volume of gas when the temperature was changed to 50°c and the new pressure was 760 torr?

    Answer:

    Data Given:

    V ₁ = 500 mL

    P₁ = 740 torr

    T₁ = 25 °C + 273 = 298 K

    V₂ = ?

    P₂ = 760 torr

    T₂ = 50 °C + 273 = 323 K

    Solution:

    Let suppose the gas is acting Ideally, then According to Ideal Gas Equation,

    P₁ V₁ / T₁ = P₂ V₂ / T₂

    Solving for V₂,

    V₂ = (P₁ V₁ T₂) : (T₁ P₂)

    Putting Values,

    V₂ = (740 torr * 500 mL * 323 K) : (298 K * 760 torr)

    V₂ = 527.68 mL
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