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17 October, 22:28

Acetylene (C2H2), an important fuel in welding, is produced in the laboratory when calcium carbide (CaC2) reacts with water: CaC2 (s) + 2 H2O (l) LaTeX: / longrightarrow⟶ C2H2 (g) + Ca (OH) 2 (aq) For a sample of acetylene collected over water, total gas pressure (adjusted to barometric pressure) is 909 mmHg and the volume is 1,024 ml. At the temperature of the gas (22°C), the vapor pressure of water is 20.7 mmHg. How many grams of acetylene are collected? Enter to 3 decimal places.

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  1. 17 October, 22:46
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    There are 1.287 grams of acetylene collected

    Explanation:

    Total gas pressure = 909 mmHg

    Vapor pressure of water = 20.7 mmHg

    Pressure of acetylene = 909 mmHg - 20.7 mmHg = 888.3 mmHg

    1mmHg = 1 torr

    22 ° C + 273.15 = 295.15 Kelvin

    Ideal gas law ⇒ pV = nRT

    ⇒ with p = pressure of the gas in atm

    ⇒ with V = volume of the gas in L

    ⇒ with n = amount of substance of gas (in moles)

    ⇒ with R = gas constant, equal to the product of the Boltzmann constant and the Avogadro constant (62.36 L * Torr * K^-1 * mol^-1)

    ⇒ with T = absolute temperature of the gas (in Kelvin)

    888.3 torr * 1.024 L = n * 62.36 L * Torr * K^-1 * mol^-1 * 295.15 K

    n = 0.04942 moles of C2H2

    Mass of C2H2 = 0.04942 moles x 26.04 g/mole = 1.287 g

    There are 1.287 grams of acetylene collected
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