Ask Question
16 July, 21:18

What is the density of laughing gas, dinitrogen monoxide, n2o, at a temperature of 325 k and a pressure of 113.0 kpa?

+5
Answers (1)
  1. 16 July, 21:36
    0
    Answer : the density of the N₂O at 325 K and 113.0 kPa is 1.84 kg m⁻³.

    Explanation:

    Density (kg/m³) = mass (kg) / Volume (m³)

    d = m/V (1)

    Ideal gas law,

    PV = nRT (2)

    Where, P is the pressure of the gas (Pa), V is the volume of the gas (m³), n is the number of moles of gas (mol), R is the universal gas constant (8.314 J mol ⁻¹ K⁻ ¹) and T is temperature in Kelvin.

    n = m/M (3)

    Where, n is number of moles, m is mass and M is molar mass.

    From (2) and (3),

    PV = (m/M) RT

    By rearranging,

    P = (m/VM) RT (4)

    From (1) and (4)

    P = (dRT) / M

    The given data,

    P = 113.0 kPa = 113.0 x 10 ³ Pa

    d = ?

    R = 8.314 J mol ⁻¹ K⁻ ¹

    T = 325 K

    M = 44.0 g/mol = 44.0 x 10⁻³ kg/mol

    By substitution,

    113.0 x 10³ Pa = (d x 8.314 J mol⁻¹ K⁻¹ x 325 K) / 44.0 x 10⁻³ kg/mol

    d = (113.0 x 10³ Pa x 44.0 x 10⁻³ kg/mol) / (8.314 J mol⁻¹ K⁻¹ x 325 K)

    d = 1.84 kg m ⁻ ³

    Hence, the density of the N ₂O at 325 K and 113.0 kPa is 1.84 kg m⁻³.

    Assumption made is "N ₂O gas has an ideal gas behavior".
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “What is the density of laughing gas, dinitrogen monoxide, n2o, at a temperature of 325 k and a pressure of 113.0 kpa? ...” in 📙 Chemistry if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers