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10 March, 04:39

The characteristics of a certain gas are listed in the table.

Characteristics of a Gas

Characteristic Description

Compound

Chlorine gas

Condition

STP

Mass

3.2 grams

What is the expected density of the above sample of gas?

03.16 g/L

1.58 g/L

1.21 g/L

1.03 g/L

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Answers (1)
  1. 10 March, 05:05
    0
    3.16g/L

    Explanation:

    We'll begin by obtaining an equation for the density. This is illustrated below:

    From the ideal gas equation:

    PV = nRT (1)

    But n = Mass (m) / Molar Mass (M)

    n = m/M

    Substituting the value of n into equation 1, we have:

    PV = nRT

    PV = mRT/M

    Now, divide both side by P

    V = mRT/MP

    Next, divide both by m

    V/m = RT/MP

    Next, invert the above equation

    m/V = PM/RT. (2)

    Recall:

    Density (D) = Mass (m) / Volume (V)

    D = m/V

    Now, replace m/V in equation 2 by D, we have:

    m/V = PM/RT

    D = PM/RT

    Data obtained from from the question include:

    P (pressure) = stp = 1atm

    T (temperature) = stp = 273K

    R (gas constant) = 0.0821atm. L/Kmol

    M (molar mass of Cl2) = 2 x 35.45 = 70.9g/mol

    D (Density) = ?

    Now, applying the derived formula D = PM/RT, the density of chlorine gas (Cl2) can be obtained as follow:

    D = PM/RT

    D = (1 x 70.9) / (0.0821 x 273)

    D = 3.16g/L

    Therefore, the density of the chlorine gas is 3.16g/L
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